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Hyers-ulam Stability Analysis for Piecewise Variable Order Fractional Impulsive Evolution Systems

Year: 2025

Type: article

Abstract: We investigate a class of piecewise variable-order fractional differential equations with impulsive and nonlocal conditions in Banach space. The nonhomogeneous term in the proposed system is given in terms of variable kernel which has flexibility property. We formulate appropriate equivalent integral equations to the considered evolution problem, then we show the solvability results by using mainly fractional calculus and fixed point techniques. Further, we study Hyers-Ulam stability analysis by adapting suitable conditions. The concerned area has numerous applications in those evolution processes and phenomenon, where abrupt changes occur. At the end, we support our obtained theory by illustrative and computational example.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240536

Authors: Kamal Shah, Arshad Ali, M. Boukhobza, A. Debbouche, Thabet Abdeljawad

Institutions: Prince Sultan University, University of Malakand, Université de Mostaganem, University of Guelma

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4411533472

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