NDLI: On a System of ψ-Caputo Hybrid Fractional Differential Equations with Dirichlet Boundary Conditions

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On a System of ψ-Caputo Hybrid Fractional Differential Equations with Dirichlet Boundary Conditions

Content Provider	MDPI
Author	Awadalla, Muath Abuasbeh, Kinda Subramanian, Muthaiah Manigandan, Murugesan
Copyright Year	2022
Description	In this article, we investigate sufficient conditions for the existence and stability of solutions to a coupled system of $ψ$ -Caputo hybrid fractional derivatives of order $1<υ\leq2$ subjected to Dirichlet boundary conditions. We discuss the existence and uniqueness of solutions with the assistance of the Leray–Schauder alternative theorem and Banach’s contraction principle. In addition, by using some mathematical techniques, we examine the stability results of Ulam–Hyers. Finally, we provide one example in order to show the validity of our results.
Starting Page	1681
e-ISSN	22277390
DOI	10.3390/math10101681
Journal	Mathematics
Issue Number	10
Volume Number	10
Language	English
Publisher	MDPI
Publisher Date	2022-05-13
Access Restriction	Open
Subject Keyword	Mathematics Hardware and Architecturee Ψ-caputo Fractional Derivative Existence Fixed Point Theorems Ulam–hyers Stability
Content Type	Text
Resource Type	Article

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