Analysis of Stochastic Weighted Impulsive Neutral ψ-Hilfer Integro-Fractional Differential System with Delay

This paper is devoted to the study of stochastic fractional differential equations. Particularly, we study the existence and uniqueness of solutions of nonlinear stochastic weighted impulsive ψ-Hilfer neutral integro-fractional differential system with infinite delay. We obtain the results with the...

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Bibliographic Details
Published in:Mathematical problems in engineering 2022, Vol.2022, p.1-23
Main Authors: Ahmad, Manzoor, Zada, Akbar, Ahmad, Jihad, Abd El Salam, Mohamed A.
Format: Article
Language:English
Subjects:
Differential equations
Fixed points (mathematics)
Fractional calculus
Hilbert space
Investigations
Mathematical functions
Mathematical problems
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Summary:This paper is devoted to the study of stochastic fractional differential equations. Particularly, we study the existence and uniqueness of solutions of nonlinear stochastic weighted impulsive ψ-Hilfer neutral integro-fractional differential system with infinite delay. We obtain the results with the help of fixed-point theorems and Banach contraction principle. Additionally, we investigate the Ulam–Hyers stability of the solutions using basic schemes of fractional calculus. For application of the theory, we add an example.
ISSN:1024-123X
1563-5147
DOI:10.1155/2022/1490583