Results 21 to 30 of about 743 (247)
Fuzzy Conformable Fractional Differential Equations
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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Construction and Evaluation of a Control Mechanism for Fuzzy Fractional-Order PID
Applied Sciences, 2022 In this research, a control mechanism for fuzzy fractional-order proportional integral derivatives was suggested (FFOPID). The fractional calculus application has been used in different fields of engineering and science and showed to be improved in the ...
Mujahed Al-Dhaifallah
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Existence and Uniqueness of Mild Solution for Fractional-Order Controlled Fuzzy Evolution Equation
Journal of Function Spaces, 2021 In this article, we investigated the existence and uniqueness of mild solutions for fractional-order controlled fuzzy evolution equations with Caputo derivatives of the controlled fuzzy nonlinear evolution equation of the form 0cDIγxI=αxI+PI,xI+AIWI,I∈0,
Naveed Iqbal +3 more
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Analysis of Fuzzy Differential Equation with Fractional Derivative in Caputo Sense
Advances in Mathematical Physics, 2023 In this article, the dynamics of the fuzzy fractional order enzyme Michaelis Menten model are investigated. To study problems with uncertainty, fuzzy fractional technique is applied. Using fuzzy theory, the sequential iterations of the model are calculated by applying fractional calculus theory and the homotopy perturbation method.
Qura Tul Ain +3 more
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Notes on Local and Nonlocal Intuitionistic Fuzzy Fractional Boundary Value Problems with Caputo Fractional Derivatives [PDF]
Journal of Mathematics, 2021 In this paper, we investigate the existence and uniqueness results of intuitionistic fuzzy local and nonlocal fractional boundary value problems by employing intuitionistic fuzzy fractional calculus and some fixed-point theorems. As an application, we conclude this manuscript by giving an example to illustrate the obtained results.
Ali El Mfadel +2 more
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Journal of Mathematics, 2021 In this article, we investigate the existence, uniqueness, and different kinds of Ulam–Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo–Katugampola fuzzy fractional derivative. We applied the Perov-type fixed point theorem to prove the existence and uniqueness of the proposed system ...
Leila Sajedi +2 more
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Numerical analysis of fractional human liver model in fuzzy environment
Journal of Taibah University for Science, 2021 Many papers have shown that fractional derivatives are preferable to other operators when the data or information is exact, but this is not the case in practice because we live in an uncertain environment.
Shabir Ahmad +3 more
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Existence and uniqueness for fuzzy differential equation with Hilfer–Katugampola fractional derivative [PDF]
Advances in Difference Equations, 2020 AbstractIn this paper, we study a kind of fuzzy differential equation with Hilfer–Katugampola fractional derivative and nonlocal condition. By using successive approximation method, we obtain some sufficient conditions to ensure the existence and uniqueness of solution. An illustrative example is given to show the practical usefulness of the analytical
Xingru Chen, Haibo Gu, Xingzhao Wang
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Abstract and Applied Analysis, 2013 This paper deals with the numerical solutions of fuzzy fractional differential equations under Caputo-type fuzzy fractional derivatives of order . We derived the shifted Legendre operational matrix (LOM) of fuzzy fractional derivatives for the numerical ...
Ali Ahmadian +2 more
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Fractal and Fractional, 2021 This manuscript assesses a semi-analytical method in connection with a new hybrid fuzzy integral transform and the Adomian decomposition method via the notion of fuzziness known as the Elzaki Adomian decomposition method (briefly, EADM). Moreover, we use
Saima Rashid +5 more
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