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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
  • Sundarapandian Vaidyanathan

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

  • Abdellatif Ben Makhlouf & El-Sayed El-Hady & Salah Boulaaras & Mohamed Ali Hammami & Sundarapandian Vaidyanathan, 2022. "Stability Analysis for Differential Equations of the General Conformable Type," Complexity, Hindawi, vol. 2022, pages 1-6, April.
    • Handle: RePEc:hin:complx:7283252
    DOI: 10.1155/2022/7283252
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    Cited by:

    1. Arfaoui, Hassen & Ben Makhlouf, Abdellatif, 2022. "Stability of a fractional advection–diffusion system with conformable derivative," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    2. Abdellatif Ben Makhlouf & Lassaad Mchiri & Hakeem A. Othman & Hafedh M. S. Rguigui & Salah Boulaaras, 2023. "Proportional Itô–Doob Stochastic Fractional Order Systems," Mathematics, MDPI, vol. 11(9), pages 1-14, April.

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