Stability Analysis for Differential Equations of the General Conformable Type

Abdellatif Ben Makhlouf, El-Sayed El-Hady, Salah Boulaaras, Mohamed Ali Hammami and Sundarapandian Vaidyanathan

Complexity, 2022, vol. 2022, 1-6

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:complx:7283252

DOI: 10.1155/2022/7283252

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