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Fuzzy Conformable Fractional Differential Equations [PDF]
International Journal of Differential Equations, 2021 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
Atimad Harir +2 more
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Fuzzy fractional hybrid differential equations
Karpatsʹkì Matematičnì Publìkacìï, 2022 This article is related to present and solve the theory of fractional hybrid differential equations with fuzzy initial values involving the fuzzy Riemann-Liouville fractional differential operators of order $0 < q < 1$. For the concerned presentation, we
A. Harir, S. Melliani, L.S. Chadli
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A Fuzzy Solution of Fractional Differential Equations by Fuzzy Conformable Laplace Transforms [PDF]
Sahand Communications in Mathematical Analysis, 2023 The fuzzy conformable Laplace transforms proposed in \cite{lp} are used to solve only fuzzy fractional differential equations of order $ 0 < \iota \leq 1$.
Atimad Harir +2 more
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Solving fuzzy fractional differential equations using Zadeh's extension principle. [PDF]
ScientificWorldJournal, 2013 We study a fuzzy fractional differential equation (FFDE) and present its solution using Zadeh’s extension principle. The proposed study extends the case of fuzzy differential equations of integer order. We also propose a numerical method to approximate the solution of FFDEs.
Ahmad MZ, Hasan MK, Abbasbandy S.
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Solving fuzzy fractional differential equations with applications
Alexandria Engineering Journal, 2023 In this article, we proposed several methods to solve the nonlinear fuzzy fractional differential equation. The methods include the fuzzy Adomian decomposition method (fuzzy ADM), fuzzy homotopy perturbation method (fuzzy HPM), fuzzy homotopy analysis ...
Mawia Osman, Yonghui Xia
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Existence and uniqueness of solutions for fuzzy fractional integro-differential equations with boundary conditions [PDF]
Scientific ReportsThe analytical behavior of fractional-order differential equations under uncertainty is often difficult to investigate. To address this challenge, this study considers Caputo-type fuzzy fractional Volterra integro-differential equations (FFVIDEs) with ...
Agilan K. +3 more
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Fuzzy Solutions of Fuzzy Fractional Parabolic Integro Differential Equations
Universal Journal of Mathematics and ApplicationsThis work primarily investigates the numerical solution of fuzzy fractional parabolic integro-differential equations of the Volterra type with the time derivative defined in the Caputo sense using the fuzzy Adomian decomposition method.
Deepak Pachpatte, Nagwa Saeed
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Fractal and Fractional, 2023 In this study, local fuzzy fractional partial differential equations (LFFPDEs) are considered using a hybrid local fuzzy fractional approach. Fractal model behavior can be represented using fuzzy partial differential equations (PDEs) with local ...
Mawia Osman +6 more
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Approximation Solution for Fuzzy Fractional-Order Partial Differential Equations
Fractal and Fractional, 2022 In this article, the authors study the comparison of the generalization differential transform method (DTM) and fuzzy variational iteration method (VIM) applied to determining the approximate analytic solutions of fuzzy fractional KdV, K(2,2) and mKdV ...
Mawia Osman +4 more
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Fuzzy solution of system of fuzzy fractional problems using a reliable method
Alexandria Engineering Journal, 2022 Under uncertainty, the analytical behavior of fractional differential equations is frequently puzzling and difficult to predict. As a result, it's necessary to develop a suitable, comprehensive, and highly effective theory to solve these challenges.
Ehsan Ul Haq +3 more
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