Results 21 to 30 of about 8,427 (283)
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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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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Novel Approaches for Solving Fuzzy Fractional Partial Differential Equations
Fractal and Fractional, 2022 In this paper, we present a comparison of several important methods to solve fuzzy partial differential equations (PDEs). These methods include the fuzzy reduced differential transform method (RDTM), fuzzy Adomian decomposition method (ADM), fuzzy ...
Mawia Osman +3 more
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SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry [PDF]
, 2008 We review the recent developments of the SUSY quantum Hall effect [hep-th/0409230, hep-th/0411137, hep-th/0503162, hep-th/0606007, arXiv:0705.4527]. We introduce a SUSY formulation of the quantum Hall effect on supermanifolds.
Hasebe, Kazuki
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Novel Numerical Investigations of Fuzzy Cauchy Reaction–Diffusion Models via Generalized Fuzzy Fractional Derivative Operators [PDF]
Fractal and Fractional, 2021 The present research correlates with a fuzzy hybrid approach merged with a homotopy perturbation transform method known as the fuzzy Shehu homotopy perturbation transform method (SHPTM). With the aid of Caputo and Atangana–Baleanu under generalized Hukuhara differentiability, we illustrate the reliability of this scheme by obtaining fuzzy fractional ...
Manar A. Alqudah +5 more
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The European Physical Journal Plus, 2022 This study aims to develop a novel fuzzy fractional model for the human liver that incorporates the ABC fractional differentiability, also known as ABC gH-differentiability, based on the generalized Hukuhara derivative. In addition, a novel fuzzy double parametric q-homotopy analysis method with a generalized transform and ABC gH-differentiability is ...
Lalchand Verma, Ramakanta Meher
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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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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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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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, 2020 In this paper, we consider controlling a class of single-input-single-output (SISO) commensurate fractional-order nonlinear systems with parametric uncertainty and external disturbance.
Li, Xinyao, Wen, Changyun, Zou, Ying
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