The solutions of nonlinear fractional partial differential equations by using a novel technique

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Abstract: In this article, the solutions of higher nonlinear partial differential equations (PDEs) with the Caputo operator are presented. The fractional PDEs are modern tools to model various phenomena more accurately. The residual power series method (RPSM) is used for the solution analysis of fractional partial differential equations (FPDEs), which has direct implementation for the solutions of fractional partial differential equations. In this work, the solutions to a few nonlinear FPDEs are handled by the proposed technique. The general and particular schemes of RPSM are constructed and implemented successfully. The fractional solutions of PDEs have provided many useful dynamics of the targeted problems. The RPSM results for both integer and fractional-order FPDEs are further explained and elaborated by using graphs and tables. It is observed that the higher accuracy of RPSM is achieved with fewer calculations. Graphs and tables for fractional-order solutions are presented, which confirm the convergence phenomena of fractional solutions toward integer order solutions of each problem. The suggested method can be extended to the solutions of other nonlinear fractional partial differential equations.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: The solutions of nonlinear fractional partial differential equations by using a novel technique ; volume:20 ; number:1 ; year:2022 ; pages:750-763 ; extent:14
Open physics ; 20, Heft 1 (2022), 750-763 (gesamt 14)

Creator: Alderremy, Aisha Abdullah
Khan, Hassan
Khan, Qasim
Kumam, Poom
Aly, Shaban
Ahmad, Said
Sitthithakerngkiet, Kanokwan

DOI: 10.1515/phys-2022-0069

URN: urn:nbn:de:101:1-2022081014144901351746

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:35 AM CEST

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Alderremy, Aisha Abdullah
Khan, Hassan
Khan, Qasim
Kumam, Poom
Aly, Shaban
Ahmad, Said
Sitthithakerngkiet, Kanokwan

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The solutions of nonlinear fractional partial differential equations by using a novel technique

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