{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,31]],"date-time":"2025-10-31T17:02:19Z","timestamp":1761930139130,"version":"3.40.5"},"reference-count":45,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,11,6]],"date-time":"2020-11-06T00:00:00Z","timestamp":1604620800000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004595","name":"Universiti Sains Malaysia","doi-asserted-by":"publisher","award":["304\/PMATHS\/6316285"],"award-info":[{"award-number":["304\/PMATHS\/6316285"]}],"id":[{"id":"10.13039\/501100004595","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,11,6]]},"abstract":"<jats:p>The phenomena, molecular path in a liquid or a gas, fluctuating price stoke, fission and fusion, quantum field theory, relativistic wave motion, etc., are modeled through the nonlinear time fractional clannish random Walker\u2019s parabolic (CRWP) equation, nonlinear time fractional SharmaTassoOlver (STO) equation, and the nonlinear space-time fractional KleinGordon equation. The fractional derivative is described in the sense of conformable derivative. From there, the <jats:inline-formula>\n                     <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\">\n                        <a:mfenced open=\"(\" close=\")\" separators=\"|\">\n                           <a:mrow>\n                              <a:mi>G<\/a:mi>\n                              <a:msup>\n                                 <a:mrow\/>\n                                 <a:mo>\u2032<\/a:mo>\n                              <\/a:msup>\n                              <a:mo>\/<\/a:mo>\n                              <a:mi>G<\/a:mi>\n                              <a:mo>,<\/a:mo>\n                              <a:mtext>\u2009<\/a:mtext>\n                              <a:mn>1<\/a:mn>\n                              <a:mo>\/<\/a:mo>\n                              <a:mi>G<\/a:mi>\n                           <\/a:mrow>\n                        <\/a:mfenced>\n                     <\/a:math>\n                  <\/jats:inline-formula>-expansion method is found to be ensuing, effective, and capable to provide functional solutions to nonlinear models concerning physical and engineering problems. In this study, an extension of the <jats:inline-formula>\n                     <f:math xmlns:f=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\">\n                        <f:mfenced open=\"(\" close=\")\" separators=\"|\">\n                           <f:mrow>\n                              <f:mi>G<\/f:mi>\n                              <f:msup>\n                                 <f:mrow\/>\n                                 <f:mo>\u2032<\/f:mo>\n                              <\/f:msup>\n                              <f:mo>\/<\/f:mo>\n                              <f:mi>G<\/f:mi>\n                              <f:mo>,<\/f:mo>\n                              <f:mtext>\u2009<\/f:mtext>\n                              <f:mn>1<\/f:mn>\n                              <f:mo>\/<\/f:mo>\n                              <f:mi>G<\/f:mi>\n                           <\/f:mrow>\n                        <\/f:mfenced>\n                     <\/f:math>\n                  <\/jats:inline-formula>-expansion method has been introduced. This enhancement establishes broad-ranging and adequate fresh solutions. In addition, some existing solutions attainable in the literature also confirm the validity of the suggested extension. We believe that the extension might be added to the literature as a reliable and efficient technique to examine a wide variety of nonlinear fractional systems with parameters including solitary and periodic wave solutions to nonlinear FDEs.<\/jats:p>","DOI":"10.1155\/2020\/7967328","type":"journal-article","created":{"date-parts":[[2020,11,7]],"date-time":"2020-11-07T02:20:05Z","timestamp":1604715605000},"page":"1-13","source":"Crossref","is-referenced-by-count":5,"title":["An Extension of the Double <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\">\n                     <a:mfenced open=\"(\" close=\")\" separators=\"|\">\n                        <a:mrow>\n                           <a:mi>G<\/a:mi>\n                           <a:msup>\n                              <a:mrow\/>\n                              <a:mo>\u2032<\/a:mo>\n                           <\/a:msup>\n                           <a:mo>\/<\/a:mo>\n                           <a:mi>G<\/a:mi>\n                           <a:mo>,<\/a:mo>\n                           <a:mtext>\u2009<\/a:mtext>\n                           <a:mn>1<\/a:mn>\n                           <a:mo>\/<\/a:mo>\n                           <a:mi>G<\/a:mi>\n                        <\/a:mrow>\n                     <\/a:mfenced>\n                  <\/a:math>-Expansion Method for Conformable Fractional Differential Equations"],"prefix":"10.1155","volume":"2020","author":[{"given":"Altaf A.","family":"Al-Shawba","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Farah A.","family":"Abdullah","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Amirah","family":"Azmi","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Universiti Sains Malaysia, Penang, Malaysia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5688-6259","authenticated-orcid":true,"given":"M. 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