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Fuzzy Conformable Fractional Differential Equations

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  • Atimad Harir
  • Said Melliani
  • Lalla Saadia Chadli

Abstract

In this study, fuzzy conformable fractional differential equations are investigated. We study conformable fractional differentiability, and we define fractional integrability properties of such functions and give an existence and uniqueness theorem for a solution to a fuzzy fractional differential equation by using the concept of conformable differentiability. This concept is based on the enlargement of the class of differentiable fuzzy mappings; for this, we consider the lateral Hukuhara derivatives of order .

Suggested Citation

  • Atimad Harir & Said Melliani & Lalla Saadia Chadli, 2021. "Fuzzy Conformable Fractional Differential Equations," International Journal of Differential Equations, Hindawi, vol. 2021, pages 1-6, February.
    • Handle: RePEc:hin:jnijde:6655450
    DOI: 10.1155/2021/6655450
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    Cited by:

    1. Eghlimi, Hadi & Asgari, Mohammad Sadegh, 2023. "A study of the time-fractional heat equation under the generalized Hukuhara conformable fractional derivative," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).

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