Work

Existence of Solutions and Ulam Stability Analysis of Implicit (p, q)- Fractional Difference Equations

Year: 2025

Type: article

Abstract: This paper studies the existence theorems and Ulam stability results of solutions for implicit (p, q)-fractional difference equations. By applying Banach and Schauder fixed-point principles, we derive results related to the existence and uniqueness of solutions. Additionally, we analyze generalized Ulam-Hyers stability under (p, q)-Gronwall inequality. Key results are supported with illustrative examples, demonstrating the applicability of the proposed framework. Compared to previous studies restricted to the standard q-calculus, the present work introduces the (p, q)-Caputo fractional difference setting, which offers a more flexible and generalized approach. This novelty extends existing results and provides new perspectives for the analysis of stability and solvability of fractional systems.

Source: Contemporary Mathematics

DOI: 10.37256/cm.6620258140

Authors: Mouataz Billah Mesmouli, Loredana Florentina Iambor, Osman Tunç, Taher S. Hassan

Institutions: University of Ha'il, University of Oradea, Van Yüzüncü Yıl Üniversitesi, Mansoura University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4415656201

FWCI: 3.847

Cites:

Cited by: 2

Related to: