Existence and Ulam–Hyers stability results of a coupled system of ψ-Hilfer sequential fractional differential equations

Existence and Ulam–Hyers stability results of a coupled system of ψ-Hilfer sequential fractional differential equations

The major goal of this work is to investigate sufficient conditions of existence, uniqueness, and Ulam–Hyers stability of solutions for a coupled system of ψ-Hilfer sequential fractional differential equations with two-point boundary conditions. Some standard fixed point theorems of Leray–Schauder a...

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Bibliographic Details
Main Authors: Mohammed A. Almalahi, Mohammed S. Abdo, Satish K. Panchal
Format: Article
Language:English
Published: Elsevier 2021-05-01
Series:Results in Applied Mathematics
Subjects:
ψ-Hilfer sequential FDEs
Boundary conditions
Coupled system
Existence
Fixed point theorem
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037421000029
Description
Summary:The major goal of this work is to investigate sufficient conditions of existence, uniqueness, and Ulam–Hyers stability of solutions for a coupled system of ψ-Hilfer sequential fractional differential equations with two-point boundary conditions. Some standard fixed point theorems of Leray–Schauder alternative and Banach are applied to establish these results. A pertinent example is provided to corroboration the results obtained.
ISSN:2590-0374

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