<?xml version="1.0" encoding="ISO-8859-1"?><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<front>
<journal-meta>
<journal-id>0035-001X</journal-id>
<journal-title><![CDATA[Revista mexicana de física]]></journal-title>
<abbrev-journal-title><![CDATA[Rev. mex. fis.]]></abbrev-journal-title>
<issn>0035-001X</issn>
<publisher>
<publisher-name><![CDATA[Sociedad Mexicana de Física]]></publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id>S0035-001X2021000500015</article-id>
<article-id pub-id-type="doi">10.31349/revmexfis.67.051401</article-id>
<title-group>
<article-title xml:lang="en"><![CDATA[Numerical solution of a fractal-fractional order chaotic circuit system]]></article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[Muhammad Altaf]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Atangana]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
<xref ref-type="aff" rid="Aaf"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Muhammad]]></surname>
<given-names><![CDATA[Taseer]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname><![CDATA[Alzahrani]]></surname>
<given-names><![CDATA[Ebraheem]]></given-names>
</name>
<xref ref-type="aff" rid="Aff"/>
</contrib>
</contrib-group>
<aff id="Af1">
<institution><![CDATA[,University of the Free State Institute for Groundwater Studies ]]></institution>
<addr-line><![CDATA[Bloemfontein ]]></addr-line>
<country>South Africa</country>
</aff>
<aff id="Af2">
<institution><![CDATA[,China Medical University Department of Medical Research China Medical University Hospital ]]></institution>
<addr-line><![CDATA[Taichung ]]></addr-line>
<country>Taiwan</country>
</aff>
<aff id="Af3">
<institution><![CDATA[,King Khalid University College of Sciences Department of Mathematics]]></institution>
<addr-line><![CDATA[Abha ]]></addr-line>
<country>Saudi Arabia</country>
</aff>
<aff id="Af4">
<institution><![CDATA[,King Abdulaziz University Faculty of Science Department of Mathematics]]></institution>
<addr-line><![CDATA[Jeddah ]]></addr-line>
<country>Saudi Arabia</country>
</aff>
<pub-date pub-type="pub">
<day>00</day>
<month>10</month>
<year>2021</year>
</pub-date>
<pub-date pub-type="epub">
<day>00</day>
<month>10</month>
<year>2021</year>
</pub-date>
<volume>67</volume>
<numero>5</numero>
<copyright-statement/>
<copyright-year/>
<self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_arttext&amp;pid=S0035-001X2021000500015&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_abstract&amp;pid=S0035-001X2021000500015&amp;lng=en&amp;nrm=iso"></self-uri><self-uri xlink:href="http://www.scielo.org.mx/scielo.php?script=sci_pdf&amp;pid=S0035-001X2021000500015&amp;lng=en&amp;nrm=iso"></self-uri><abstract abstract-type="short" xml:lang="en"><p><![CDATA[Abstract The dynamical system has an important research area and, due to its wide applications, many researchers and scientists are working to develop new models and techniques for their solution. In this work, we present in this work the dynamics of a chaotic model in the presence of newly introduced fractal-fractional operators. The model is formulated initially in ordinary differential equations, and then we utilize the fractal-fractional (FF) in power law, exponential, and Mittag-Leffler to generalize the model. For each fractal-fractional order model, we briefly study its numerical solution via the numerical algorithm. We present some graphical results with arbitrary order of fractal and fractional orders, and present that these operators provide different chaotic attractors for different fractal and fractional order values. The graphical results demonstrate the effectiveness of the fractal-fractional operators.]]></p></abstract>
<kwd-group>
<kwd lng="en"><![CDATA[Fractal-fractional operators]]></kwd>
<kwd lng="en"><![CDATA[chaotic model]]></kwd>
<kwd lng="en"><![CDATA[numerical results]]></kwd>
<kwd lng="en"><![CDATA[05.45.-a]]></kwd>
<kwd lng="en"><![CDATA[05.40.-a]]></kwd>
<kwd lng="en"><![CDATA[02.60.Cb]]></kwd>
</kwd-group>
</article-meta>
</front><back>
<ref-list>
<ref id="B1">
<label>1.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wang]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
<name>
<surname><![CDATA[Zhou]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Zheng]]></surname>
<given-names><![CDATA[X.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Image watermarking using chaotic map and dna coding]]></article-title>
<source><![CDATA[Optik.]]></source>
<year>2015</year>
<volume>126</volume>
<page-range>4846-51</page-range></nlm-citation>
</ref>
<ref id="B2">
<label>2.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Çiçek]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Feriko&#287;lu]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Pehlivan]]></surname>
<given-names><![CDATA[I.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A new 3d chaotic system: dynamical analysis, electronic circuit design, active control synchronization and chaotic masking communication application]]></article-title>
<source><![CDATA[Optik-International Journal for Light and Electron Optics]]></source>
<year>2016</year>
<volume>127</volume>
<numero>8</numero>
<issue>8</issue>
<page-range>4024-30</page-range></nlm-citation>
</ref>
<ref id="B3">
<label>3.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Volos]]></surname>
<given-names><![CDATA[C. K]]></given-names>
</name>
<name>
<surname><![CDATA[Kyprianidis]]></surname>
<given-names><![CDATA[I.M]]></given-names>
</name>
<name>
<surname><![CDATA[Stouboulos]]></surname>
<given-names><![CDATA[I. N]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A chaotic path planning generator for autonomous mobile robots]]></article-title>
<source><![CDATA[Robotics and Autonomous Systems]]></source>
<year>2012</year>
<volume>60</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>651-6</page-range></nlm-citation>
</ref>
<ref id="B4">
<label>4.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Xu]]></surname>
<given-names><![CDATA[C.]]></given-names>
</name>
<name>
<surname><![CDATA[Liao]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Li]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Xiao]]></surname>
<given-names><![CDATA[Q.]]></given-names>
</name>
<name>
<surname><![CDATA[Yuan]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Control strategy for a fractional-order chaotic financial model]]></article-title>
<source><![CDATA[Complexity]]></source>
<year>2019</year>
<volume>2019</volume>
</nlm-citation>
</ref>
<ref id="B5">
<label>5.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Atan]]></surname>
<given-names><![CDATA[O.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Synchronisation and circuit model of fractional-order chaotic systems with time-delay]]></article-title>
<source><![CDATA[IFAC-PapersOnLine]]></source>
<year>2016</year>
<volume>49</volume>
<numero>29</numero>
<issue>29</issue>
<page-range>68-72</page-range></nlm-citation>
</ref>
<ref id="B6">
<label>6.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Atangana]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Qureshi]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Modeling attractors of chaotic dynamical systems with fractal-fractional operators]]></article-title>
<source><![CDATA[Chaos, Solitons Fractals]]></source>
<year>2019</year>
<volume>123</volume>
<page-range>320-37</page-range></nlm-citation>
</ref>
<ref id="B7">
<label>7.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[M. A]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[The dynamics of a new chaotic system through the caputo-fabrizio and atanagan-baleanu fractional operators]]></article-title>
<source><![CDATA[Advances in Mechanical Engineering]]></source>
<year>2019</year>
<volume>11</volume>
<numero>7</numero>
<issue>7</issue>
</nlm-citation>
</ref>
<ref id="B8">
<label>8.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Atangana]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractional discretization: The african&#8217;s tortoise walk]]></article-title>
<source><![CDATA[Chaos, Solitons Fractals]]></source>
<year>2020</year>
<volume>130</volume>
</nlm-citation>
</ref>
<ref id="B9">
<label>9.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ghanbari]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
<name>
<surname><![CDATA[Atangana]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A new application of fractional atangana-baleanu derivatives: Designing abc-fractional masks in image processing]]></article-title>
<source><![CDATA[Physica A: Statistical Mechanics and its Applications]]></source>
<year>2019</year>
</nlm-citation>
</ref>
<ref id="B10">
<label>10.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[M. A]]></given-names>
</name>
<name>
<surname><![CDATA[Kolebaje]]></surname>
<given-names><![CDATA[O.]]></given-names>
</name>
<name>
<surname><![CDATA[Yildirim]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Ullah]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Kumam]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Thounthong]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractional investigations of zoonotic visceral leishmaniasis disease with singular and non-singular kernel]]></article-title>
<source><![CDATA[The European Physical Journal Plus]]></source>
<year>2019</year>
<volume>134</volume>
<page-range>481</page-range></nlm-citation>
</ref>
<ref id="B11">
<label>11.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Jan]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[M. A]]></given-names>
</name>
<name>
<surname><![CDATA[Kumam]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Thounthong]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Modeling the transmission of dengue infection through fractional derivatives]]></article-title>
<source><![CDATA[Chaos, Solitons Fractals]]></source>
<year>2016</year>
<volume>127</volume>
<page-range>189-216</page-range></nlm-citation>
</ref>
<ref id="B12">
<label>12.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[M. A]]></given-names>
</name>
<name>
<surname><![CDATA[Gómez-Aguilar]]></surname>
<given-names><![CDATA[F.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Tuberculosis model with relapse via fractional conformable derivative with power law]]></article-title>
<source><![CDATA[Mathematical Methods in the Applied Sciences]]></source>
<year>2019</year>
</nlm-citation>
</ref>
<ref id="B13">
<label>13.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ullah]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[M. A]]></given-names>
</name>
<name>
<surname><![CDATA[Farooq]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Hammouch]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Baleanu]]></surname>
<given-names><![CDATA[D.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A fractional model for the dynamics of tuberculosis infection using caputo-fabrizio derivative]]></article-title>
<source><![CDATA[Discrete Continuous Dynamical Systems-S]]></source>
<year>2019</year>
<volume>29</volume>
<page-range>11-27</page-range></nlm-citation>
</ref>
<ref id="B14">
<label>14.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ullah]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[M. A]]></given-names>
</name>
<name>
<surname><![CDATA[Farooq]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A fractional model for the dynamics of tb virus]]></article-title>
<source><![CDATA[Chaos, Solitons Fractals]]></source>
<year>2018</year>
<volume>116</volume>
<page-range>63-71</page-range></nlm-citation>
</ref>
<ref id="B15">
<label>15.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Atangana]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[&#304;&#287;ret Araz]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractional stochastic modelling illustration with modified chua attractor]]></article-title>
<source><![CDATA[The European Physical Journal Plus]]></source>
<year>2019</year>
<volume>134</volume>
<numero>4</numero>
<issue>4</issue>
<page-range>160</page-range></nlm-citation>
</ref>
<ref id="B16">
<label>16.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ullah]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[M. A]]></given-names>
</name>
<name>
<surname><![CDATA[Farooq]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Modeling and analysis of the fractional hbv model with atangana-baleanu derivative]]></article-title>
<source><![CDATA[The European Physical Journal Plus]]></source>
<year>2018</year>
<volume>133</volume>
<numero>8</numero>
<issue>8</issue>
<page-range>313</page-range></nlm-citation>
</ref>
<ref id="B17">
<label>17.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Atangana]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[M. A]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Validity of fractal derivative to capturing chaotic attractors]]></article-title>
<source><![CDATA[Chaos, Solitons Fractals]]></source>
<year>2019</year>
<volume>126</volume>
<page-range>50-9</page-range></nlm-citation>
</ref>
<ref id="B18">
<label>18.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Sayed]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<name>
<surname><![CDATA[Radwan]]></surname>
<given-names><![CDATA[AG]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Two-dimensional rotation of chaotic attractors: Demonstrative examples and fpga realization]]></article-title>
<source><![CDATA[Circuits, Systems, and Signal Processing]]></source>
<year>2019</year>
<volume>38</volume>
<numero>10</numero>
<issue>10</issue>
<page-range>4890-903</page-range></nlm-citation>
</ref>
<ref id="B19">
<label>19.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Semary]]></surname>
<given-names><![CDATA[M. S]]></given-names>
</name>
<name>
<surname><![CDATA[Radwan]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Realization of fractional-order capacitor based on passive symmetric network]]></article-title>
<source><![CDATA[Journal of advanced research]]></source>
<year>2019</year>
<volume>18</volume>
<page-range>147-59</page-range></nlm-citation>
</ref>
<ref id="B20">
<label>20.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[El-Maksoud]]></surname>
<given-names><![CDATA[A. J Abd]]></given-names>
</name>
<name>
<surname><![CDATA[El-Kader]]></surname>
<given-names><![CDATA[A. A Abd]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fpga implementation of sound encryption system based on fractional-order chaotic systems]]></article-title>
<source><![CDATA[Microelectronics Journal]]></source>
<year>2019</year>
<volume>90</volume>
<page-range>323-35</page-range></nlm-citation>
</ref>
<ref id="B21">
<label>21.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gomez-Aguilar]]></surname>
<given-names><![CDATA[J. F]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Chaos and multiple attractors in a fractal-fractional Shinriki&#8217;s oscillator model]]></article-title>
<source><![CDATA[Physica A: Statistical Mechanics and its Applications]]></source>
<year>2020</year>
<volume>539</volume>
</nlm-citation>
</ref>
<ref id="B22">
<label>22.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gomez-Aguilar]]></surname>
<given-names><![CDATA[J. F]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Multiple attractors and periodicity on the Vallis model for El Niño/La Niña-Southern oscillation model]]></article-title>
<source><![CDATA[Journal of Atmospheric and Solar-Terrestrial Physics]]></source>
<year>2020</year>
<volume>197</volume>
</nlm-citation>
</ref>
<ref id="B23">
<label>23.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ghanbari]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
<name>
<surname><![CDATA[Gómez-Aguilar]]></surname>
<given-names><![CDATA[J. F]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Analysis of two avian influenza epidemic models involving fractal-fractional derivatives with power and Mittag-Leffler memories]]></article-title>
<source><![CDATA[Chaos: An Interdisciplinary Journal of Nonlinear Science]]></source>
<year>2019</year>
<volume>29</volume>
</nlm-citation>
</ref>
<ref id="B24">
<label>24.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gómez-Aguilar]]></surname>
<given-names><![CDATA[J. F]]></given-names>
</name>
<name>
<surname><![CDATA[Cordova-Fraga]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Abdeljawad]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Analysis of fractal-fractional malaria transmission model]]></article-title>
<source><![CDATA[Fractals]]></source>
<year>2020</year>
<volume>7</volume>
</nlm-citation>
</ref>
<ref id="B25">
<label>25.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Gomez-Aguilar]]></surname>
<given-names><![CDATA[J. F]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[New chaotic attractors: Application of fractal-fractional differentiation and integration]]></article-title>
<source><![CDATA[Mathematical Methods in the Applied Sciences]]></source>
<year>2021</year>
<volume>44</volume>
<page-range>3036-65</page-range></nlm-citation>
</ref>
<ref id="B26">
<label>26.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Saad]]></surname>
<given-names><![CDATA[K. M]]></given-names>
</name>
<name>
<surname><![CDATA[Alqhtani]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
<name>
<surname><![CDATA[Gómez-Aguilar]]></surname>
<given-names><![CDATA[J. F]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractal-fractional study of the hepatitis C virus infection model]]></article-title>
<source><![CDATA[Results in Physics]]></source>
<year>2020</year>
<volume>19</volume>
</nlm-citation>
</ref>
<ref id="B27">
<label>27.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Zúñiga-Aguilar]]></surname>
<given-names><![CDATA[C. J]]></given-names>
</name>
<name>
<surname><![CDATA[Gómez-Aguilar]]></surname>
<given-names><![CDATA[J. F]]></given-names>
</name>
<name>
<surname><![CDATA[Romero-Ugalde]]></surname>
<given-names><![CDATA[H. M]]></given-names>
</name>
<name>
<surname><![CDATA[Jahanshahi]]></surname>
<given-names><![CDATA[H.]]></given-names>
</name>
<name>
<surname><![CDATA[Alsaadi]]></surname>
<given-names><![CDATA[F. E]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractal-fractional neuro-adaptive method for system identification]]></article-title>
<source><![CDATA[Engineering with Computers]]></source>
<year>2021</year>
<volume>22</volume>
<page-range>1-24</page-range></nlm-citation>
</ref>
<ref id="B28">
<label>28.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A new analytical modelling for fractional telegraph equation via Laplace transform]]></article-title>
<source><![CDATA[Applied Mathematical Modelling]]></source>
<year>2014</year>
<volume>38</volume>
<page-range>3154-63</page-range></nlm-citation>
</ref>
<ref id="B29">
<label>29.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Ghanbari]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A study of behaviour for immune and tumor cells in immunogenetic tumour model with non-singular fractional derivative]]></article-title>
<source><![CDATA[Chaos, Solitons Fractals]]></source>
<year>2020</year>
<volume>133</volume>
</nlm-citation>
</ref>
<ref id="B30">
<label>30.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Goufo]]></surname>
<given-names><![CDATA[E. F]]></given-names>
</name>
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Mugisha]]></surname>
<given-names><![CDATA[S. B]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Similarities in a fifth-order evolution equation with and with no singular kerne Chaos]]></article-title>
<source><![CDATA[Solitons Fractals]]></source>
<year>2020</year>
<volume>130</volume>
</nlm-citation>
</ref>
<ref id="B31">
<label>31.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Agarwal]]></surname>
<given-names><![CDATA[R.P]]></given-names>
</name>
<name>
<surname><![CDATA[Samet]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A study of fractional Lotka-Volterra population model using Haar wavelet and Adams-Bashforth Moulton methods]]></article-title>
<source><![CDATA[Mathematical Methods in the Applied Sciences]]></source>
<year>2020</year>
<volume>43</volume>
<page-range>5564-78</page-range></nlm-citation>
</ref>
<ref id="B32">
<label>32.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Ghosh]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Samet]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
<name>
<surname><![CDATA[Goufo]]></surname>
<given-names><![CDATA[E. F]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[An analysis for heat equations arises in diffusion process using new Yang-Abdel-Aty-Cattani fractional operator]]></article-title>
<source><![CDATA[Mathematical Methods in Applied Sciences]]></source>
<year>2020</year>
<volume>43</volume>
<page-range>6062-80</page-range></nlm-citation>
</ref>
<ref id="B33">
<label>33.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Veeresha]]></surname>
<given-names><![CDATA[P.]]></given-names>
</name>
<name>
<surname><![CDATA[Prakasha]]></surname>
<given-names><![CDATA[D. G]]></given-names>
</name>
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A fractional model for propagation of classical optical solitons by using nonsingular derivative]]></article-title>
<source><![CDATA[Mathematical Methods in Applied Sciences]]></source>
<year>2020</year>
</nlm-citation>
</ref>
<ref id="B34">
<label>34.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Ghosh]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Jleli]]></surname>
<given-names><![CDATA[M.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A fractional model for population dynamics of two interacting species by using spectral and Hermite wavelets methods]]></article-title>
<source><![CDATA[Numerical Methods for Partial Differential Equations]]></source>
<year>2021</year>
<volume>37</volume>
<page-range>1652-72</page-range></nlm-citation>
</ref>
<ref id="B35">
<label>35.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[S.]]></given-names>
</name>
<name>
<surname><![CDATA[Kumar]]></surname>
<given-names><![CDATA[R.]]></given-names>
</name>
<name>
<surname><![CDATA[Osman]]></surname>
<given-names><![CDATA[M. S]]></given-names>
</name>
<name>
<surname><![CDATA[Samet]]></surname>
<given-names><![CDATA[B.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[A wavelet based numerical scheme for fractional order SEIR epidemic of measles by using Genocchi polynomials]]></article-title>
<source><![CDATA[Numerical Methods for Partial Differential Equations]]></source>
<year>2021</year>
<volume>37</volume>
<page-range>1250-68</page-range></nlm-citation>
</ref>
<ref id="B36">
<label>36.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Li]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Liu]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[M. A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractional investigation of bank data with fractal-fractional caputo derivative]]></article-title>
<source><![CDATA[Chaos, Solitons Fractals]]></source>
<year>2019</year>
</nlm-citation>
</ref>
<ref id="B37">
<label>37.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Wang]]></surname>
<given-names><![CDATA[W.]]></given-names>
</name>
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[M. A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Analysis and numerical simulation of fractional model of bank data with fractal-fractional atangana-baleanu derivative]]></article-title>
<source><![CDATA[Journal of Computational and Applied Mathematics]]></source>
<year>2020</year>
<volume>369</volume>
<page-range>112-646</page-range></nlm-citation>
</ref>
<ref id="B38">
<label>38.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Atangana]]></surname>
<given-names><![CDATA[A.]]></given-names>
</name>
<name>
<surname><![CDATA[Khan]]></surname>
<given-names><![CDATA[M. A.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Modeling and analysis of competition model of bank data with fractal-fractional caputo-fabrizio operator]]></article-title>
<source><![CDATA[Alexandria Engineering Journal]]></source>
<year>2020</year>
</nlm-citation>
</ref>
<ref id="B39">
<label>39.</label><nlm-citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname><![CDATA[Mekkaoui]]></surname>
<given-names><![CDATA[T.]]></given-names>
</name>
<name>
<surname><![CDATA[Hammouch]]></surname>
<given-names><![CDATA[Z.]]></given-names>
</name>
<name>
<surname><![CDATA[Belgacem]]></surname>
<given-names><![CDATA[F. BM]]></given-names>
</name>
<name>
<surname><![CDATA[Abbassi]]></surname>
<given-names><![CDATA[A. El.]]></given-names>
</name>
</person-group>
<article-title xml:lang=""><![CDATA[Fractional-order nonlinear systems: Chaotic dynamics, numerical simulation and circuits design]]></article-title>
<source><![CDATA[Fractional Dynamics]]></source>
<year>2015</year>
<page-range>343-56</page-range></nlm-citation>
</ref>
</ref-list>
</back>
</article>
