Stability Analysis for Differential Equations of the General Conformable Type. (14th April 2022)

• Record Type: Journal Article
• Authors: Ben Makhlouf, Abdellatif; El-Hady, El-Sayed; Boulaaras, Salah; Hammami, Mohamed Ali
• Other Names: Vaidyanathan Sundarapandian Academic Editor.
• Is Part Of: Complexity. Volume 2022(2022)
• Publication Date: 2022-04-14
• Subjects: Chaotic behavior in systems -- Periodicals; Complexity (Philosophy) -- Periodicals; 003
• DOI: 10.1155/2022/7283252
• Languages: English
• ISSNs: 1076-2787

Abstract

Abstract : Fractional calculus is nowadays an efficient tool in modelling many interesting nonlinear phenomena. This study investigates, in a novel way, the Ulam–Hyers (HU) and Ulam–Hyers–Rassias (HUR) stability of differential equations with general conformable derivative (GCD). In our analysis, we employ some version of Banach fixed-point theory (FPT). In this way, we generalize several earlier interesting results. Two examples are given at the end to illustrate our results.