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

Manzoor Ahmad; Akbar Zada; Jihad AhmadMohamed A. Abd El SalamAli Ahmadian

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

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

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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.

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《Mathematical Problems in Engineering: Theory, Methods and Applications》 |2022年第9期|1.1-1.23|共23页
作者
Manzoor Ahmad; Akbar Zada; Jihad AhmadMohamed A. Abd El SalamAli Ahmadian;
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Department of Mathematics University of Peshawar Peshawar 25000;

Department of Mathematics Aden University Aden;

Department of Mathematics Faculty of Science, Al Azhar University Nasr 11884 Cairo;

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

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