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International Journal of Differential Equations
Article . 2021 . Peer-reviewed
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Other literature type . 2021
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Fuzzy Conformable Fractional Differential Equations

المعادلات التفاضلية الجزئية الضبابية القابلة للتوافق
Authors: Atimad Harir; Saïd Melliani; Lalla Saâdia Chadli;

Fuzzy Conformable Fractional Differential Equations

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 q ∈ 0,1 .

Related Organizations
Keywords

Statistics and Probability, Artificial intelligence, Class (philosophy), Fuzzy ordinary differential equations, Fractional Differential Equations, Economics, Hukuhara derivative, Fuzzy Differential Equations and Uncertainty Modeling, Fractional ordinary differential equations, Conformable matrix, Theory and Applications of Fractional Differential Equations, Mathematical analysis, Quantum mechanics, differential equation, Differentiable function, QA1-939, FOS: Mathematics, Functional Differential Equations, Anomalous Diffusion Modeling and Analysis, Order (exchange), fuzzy set, Applied Mathematics, Physics, Pure mathematics, Fractional calculus, fractional derivative, Applied mathematics, Computer science, Fuzzy Differential Equations, Fuzzy logic, Fractional Derivatives, Modeling and Simulation, Physical Sciences, Fractional Calculus, Uniqueness, Mathematics, Finance

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Average
Top 10%
gold