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Stability Analysis for Differential Equations of the General Conformable Type

Author

Listed:
  • Abdellatif Ben Makhlouf
  • El-Sayed El-Hady
  • Salah Boulaaras
  • Mohamed Ali Hammami

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.

Suggested Citation

Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:7283252
DOI: 10.1155/2022/7283252
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