On theoretical analysis of nonlinear fractional order partial Benney equations under nonsingular kernel

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Abstract: In the present article, the first step is devoted to develop some results about existence and uniqueness of solution to a general problem of fractional order partial differential equations (FPDEs) via classical fixed point theory. In the second step, a novel technique is used to handle the semi-analytical approximate solution for the considered general problem. Then, we extend the said result to fractional order partial Benney equations (FOPBEs) of the second and third order, which are special cases of the general problem we considered. We study the proposed problem under the Caputo-Febrizo fractional derivative (CFFD). With the help of the proposed method, we derive a series type approximate (semi-analytical) solution. Some numerical interpretations and visualizations are also given.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: On theoretical analysis of nonlinear fractional order partial Benney equations under nonsingular kernel ; volume:20 ; number:1 ; year:2022 ; pages:587-595 ; extent:9
Open physics ; 20, Heft 1 (2022), 587-595 (gesamt 9)

Creator: Shah, Kamal
Seadawy, Aly R.
Mahmoud, Anhar B.

DOI: 10.1515/phys-2022-0046

URN: urn:nbn:de:101:1-2022071516011686757846

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

Last update: 15.08.2025, 7:32 AM CEST

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Shah, Kamal
Seadawy, Aly R.
Mahmoud, Anhar B.

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On theoretical analysis of nonlinear fractional order partial Benney equations under nonsingular kernel

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Other Objects (12)

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