Results 241 to 250 of about 11,947 (275)

Solutions of Fuzzy Fractional Differential Equations

Progress in Fractional Differentiation and Applications
The concept of generalized conformable fractional derivative is used to explore fuzzy fractional differential equations in this research. The extension of the class of differentiable fuzzy mappings underpins this concept. The summations and differences of two functions are produced using this derivative, and we prove the existence and uniqueness of a ...
Atimad Harir, Said Melliani, Lalla Saadia Chadli   +2 more
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Solution of fuzzy fractional differential equations using fuzzy Sumudu transform

AIP Conference Proceedings, 2016
The purpose of this paper is to propose fuzzy Sumudu transform (FST) for solving fuzzy fractional differential equations (FFDEs). The Caputo fuzzy fractional derivative will be considered. A new theorem for FST on Caputo fuzzy fractional derivative will be provided. Finally, a numerical example will be demonstrated.
Norazrizal Aswad Abdul Rahman, Muhammad Zaini Ahmad   +1 more
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Fuzzy fractional differential equations with the generalized Atangana-Baleanu fractional derivative

Fuzzy Sets and Systems, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vu, Ho, Ghanbari, Behzad, Van Hoa, Ngo
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Fractional Jacobi operational matrix for solving Fuzzy Fractional Differential Equation

Journal of Intelligent & Fuzzy Systems, 2017
In this paper, we have researched fractional Jacobi operational matrix for solving Fuzzy Linear Fractional Differential Equation of order 0 < ν < 1. By using fractional Jacobi operational matrix, it is to reduce the problem which obtain the approximative solution of Fuzzy Linear Fractional Differential ...
Sin, Kinam, Chen, Minghao, Choi, Huichol, Ri, Kwang   +3 more
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Application of fuzzy ABC fractional differential equations in infectious diseases

2023
Summary: In this paper, for solving the HIV fuzzy mathematical model, it is first transformed into a system of three nonlinear fuzzy Atangana-Baleanu-Caputo (ABC) fractional differential equations with three unknowns and fuzzy initial values. Then, using the generalized Hukuhara difference and ABC fractional derivative and applying the fuzzy numerical ...
Babakordi, Fatemeh, Allahviranloo, Tofigh   +1 more
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Solveing Fuzzy Fractional Impulsive Differential Equations by Fuzzy Fractional Adomian Decomposition Technique

2021
In this paper, we study semi-analytical methods entitled Fuzzy Fractional Adomian Decomposition Technique (FFADT) to solve fuzzy fractional impulsive differential equations (FFIDE) using Caupto fractional derivative. At the end, first of all, FFADT in fractional case is defined and the existence and uniqueness theorem for the solution are proved and ...
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Generalization of the Fuzzy Conformable Differentiability with Application to Fuzzy Fractional Differential Equations

2021
In the present paper, we study generalized conformable differentiability concepts for fuzzy valued functions. Existence of the solutions of fuzzy fractional differential equations involving generalized conformable differentiability is studied. Also, some concrete applications to ordinary fuzzy fractional differential equations with fuzzy initial values.
Atimad Harir, Said Melliani, L. Saadia Chadli   +2 more
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Numerical Solution of Fuzzy Fractional Differential Equations

2020
In this chapter, first, some numerical methods such as generalized fuzzy fractional Taylor’s expansion and its application entitled fuzzy fractional Euler’s method are presented for fuzzy-valued function in the sense of Caputo differentiability. Then the fuzzy impulsive fractional differential equations are going to be considered for numerically ...
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Invariant solutions of hyperbolic fuzzy fractional differential equations

Modern Physics Letters B, 2019
We consider the hyperbolic type fuzzy fractional differential equation and derive the second-order fuzzy fractional differential equation using scaling transformation. We present a theoretical and a numerical method to find the invariant solutions of such equations.
C. Vinothkumar, J. J. Nieto, A. Deiveegan, P. Prakash   +3 more
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On the fuzzy fractional differential equation with interval Atangana–Baleanu fractional derivative approach

Chaos, Solitons & Fractals, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tofigh Allahviranloo, Behzad Ghanbari
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