Solving Higher-Order Fractional Differential Equations by the Fuzzy Generalized Conformable Derivatives | Zendy

Atimad Harir | Zendy; Saïd Melliani | Zendy; Lalla Saâdia Chadli | Zendy

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Solving Higher-Order Fractional Differential Equations by the Fuzzy Generalized Conformable Derivatives

Author(s) -

Atimad Harir,

Saïd Melliani,

Lalla Saâdia Chadli

Publication year - 2021

Publication title -

applied computational intelligence and soft computing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.371

H-Index - 10

eISSN - 1687-9732

pISSN - 1687-9724

DOI - 10.1155/2021/5571818

Subject(s) - conformable matrix , mathematics , fuzzy logic , order (exchange) , pure mathematics , computer science , physics , artificial intelligence , finance , quantum mechanics , economics

In this paper, the generalized concept of conformable fractional derivatives of order q ∈ (n, n + 1] for fuzzy functions is introduced. We presented the definition and proved properties and theorems of these derivatives. $e fuzzy conformable fractional differential equations and the properties of the fuzzy solution are investigated, developed, and proved. Some examples are provided for both the new solutions.

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