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Existence Results and Finite-Time Stability of a Fractional (p,q)-Integro-Difference System

2024; Multidisciplinary Digital Publishing Institute; Volume: 12; Issue: 9 Linguagem: Inglês

10.3390/math12091399

2227-7390

Mouataz Billah Mesmouli, Loredana Florentina Iambor, Amir Abdel Menaem, Taher S. Hassan,

Numerical methods for differential equations

In this article, we mainly generalize the results in the literature for a fractional q-difference equation. Our study considers a more comprehensive type of fractional p,q-difference system of nonlinear equations. By the Banach contraction mapping principle, we obtain a unique solution. By Krasnoselskii’s fixed-point theorem, we prove the existence of solutions. In addition, finite stability has been established too. The main results in the literature have been proven to be a particular corollary of our work.