Analytical solution of fuzzy heat problem in two-dimensional case under Caputo-type fractional derivative. [PDF]
PLoS ONEThis work aims to investigate the analytical solution of a two-dimensional fuzzy fractional-ordered heat equation that includes an external diffusion source factor.
Muhammad Nadeem +3 more
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Granular Fuzzy Fractional Financial Systems Governed by Granular Caputo Fractional Derivative
MathematicsA granular fuzzy fractional financial system (GFFFS) is important for modeling real-world market uncertainties and complexities compared to conventional financial models. Unlike traditional approaches, a GFFFS offers enhanced precision in risk assessment,
Feryal Abdullah Aladsani +2 more
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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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Adaptive fuzzy command filtered control for uncertain fractional order nonlinear systems with full state constraints [PDF]
Scientific ReportsThis paper investigates the tracking control problem for fractional-order (FO) nonlinear systems with model uncertainties and external disturbances under full-state constraints.
Ruixia Liu +3 more
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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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Fuzzy Fractional Boundary Value Problems With Hilfer Fractional Derivatives
Asia Pacific Journal of Mathematics, 2023 Elhoussain Arhrrabi +3 more
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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
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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 +2 more
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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 +3 more
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A Note on the Stability Analysis of Fuzzy Nonlinear Fractional Differential Equations Involving the Caputo Fractional Derivative [PDF]
International Journal of Mathematics and Mathematical Sciences, 2021 In this paper, we present and establish a new result on the stability analysis of solutions for fuzzy nonlinear fractional differential equations by extending Lyapunov’s direct method from the fuzzy ordinary case to the fuzzy fractional case. As an application, several examples are presented to illustrate the proposed stability result.
Ali El Mfadel +2 more
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