Results 11 to 20 of about 8,427 (283)

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, Almegdad Almahi, Omer Abdalrhman Omer, Altyeb Mohammed Mustafa, Sarmad A. Altaie   +4 more
doaj   +3 more sources

Fuzzy Fractional Differential Equation Involving the Fuzzy Conformable Derivative and the α - Semigroups. [PDF]

ScientificWorldJournal
In this work, we discuss solutions to the abstract Cauchy problem of fuzzy conformal fractional. In addition, the method of fuzzy fractional semigroups is used to obtain analytical solutions to the fractional differential equation. We use the concept of Krasnoselskii’s fixed point theorem to determine the existence and uniqueness of the solution.
Ibrahim Abdou Amir F, El Ghazouani A, El Omari M, Melliani S.   +3 more
europepmc   +4 more sources

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, Said Melliani, L. Saadia Chadli   +2 more
doaj   +1 more source

‎Fuzzy Ordinary and Fractional General Sigmoid Function Activated‎ ‎Neural Network Approximation [PDF]

Transactions on Fuzzy Sets and Systems, 2023
Here we research the univariate fuzzy ordinary and fractional quantitative‎ ‎approximation of fuzzy real valued functions on a compact interval by‎ ‎quasi-interpolation general sigmoid activation function relied on fuzzy neural‎ ‎network operators ...
George Anastassiou
doaj   +1 more source

Fuzzy Generalized Conformable Fractional Derivative [PDF]

Advances in Fuzzy Systems, 2020
We give a new definition of fuzzy fractional derivative called fuzzy conformable fractional derivative. Using this definition, we prove some results and we introduce new definition of generalized fuzzy conformable fractional derivative.
Atimad Harir, Saïd Melliani, Lalla Saâdia Chadli   +2 more
openaire   +2 more sources

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

Applied Computational Intelligence and Soft Computing, 2021
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.
Atimad Harir, Said Melliani, Lalla Saadia Chadli   +2 more
doaj   +1 more source

Generalized Hukuhara Conformable Fractional Derivative and its Application to Fuzzy Fractional Partial DifferentialEquations [PDF]

Soft Computing, 2021
Abstract The main focus of this paper is to develop an efficient analytical method to obtain the traveling wave fuzzy solution for the fuzzy generalized Hukuhara conformable fractional equations by considering the type of generalized Hukuhara conformable fractional differentiability of the solution.
Manizheh Ghaffari, Tofigh Allahviranloo, Saeid Abbasbandy, Mahdi Azhini   +3 more
openaire   +2 more sources

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, Said Melliani, Lalla Saadia Chadli   +2 more
doaj   +1 more source

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, Saïd Melliani, M'hamed Elomari   +2 more
openaire   +3 more sources

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
doaj   +1 more source