NDLI: A New Class of Coupled Systems of Nonlinear Hyperbolic Partial Fractional Differential Equations in Generalized Banach Spaces Involving the ψ

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A New Class of Coupled Systems of Nonlinear Hyperbolic Partial Fractional Differential Equations in Generalized Banach Spaces Involving the ψ–Caputo Fractional Derivative

Content Provider	MDPI
Author	Baitiche, Zidane Derbazi, Choukri Benchohra, Mouffak Zhou, Yong
Copyright Year	2021
Description	The current study is devoted to investigating the existence and uniqueness of solutions for a new class of symmetrically coupled system of nonlinear hyperbolic partial-fractional differential equations in generalized Banach spaces in the sense of $ψ$ –Caputo partial fractional derivative. Our approach is based on the Krasnoselskii-type fixed point theorem in generalized Banach spaces and Perov’s fixed point theorem together with the Bielecki norm, while Urs’s approach was used to prove the Ulam–Hyers stability of solutions of our system. Finally, some examples are provided in order to illustrate our theoretical results.
Starting Page	2412
e-ISSN	20738994
DOI	10.3390/sym13122412
Journal	Symmetry
Issue Number	12
Volume Number	13
Language	English
Publisher	MDPI
Publisher Date	2021-12-13
Access Restriction	Open
Subject Keyword	Symmetry Mathematical Social Sciences Ψ–caputo Fractional Partial Derivative Existence Uniqueness Fixed Point Bielecki Norm Ulam Stability Generalized Banach Spaces
Content Type	Text
Resource Type	Article

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