Results 31 to 40 of about 8,427 (283)
AIMS Mathematics, 2022 <abstract><p>The Shehu homotopy perturbation transform method (SHPTM) via fuzziness, which combines the homotopy perturbation method and the Shehu transform, is the subject of this article. With the assistance of fuzzy fractional Caputo and Atangana-Baleanu derivatives operators, the proposed methodology is designed to illustrate the ...
Rehana Ashraf +3 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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A Fuzzy Fractional Order Approach to SIDARTHE Epidemic Model for COVID-19
Complexity, 2022 In this paper, a novel coronavirus SIDARTHE epidemic model system is constructed using a Caputo-type fuzzy fractional differential equation. Applying Caputo derivatives to our model is motivated by the need to more thoroughly examine the dynamics of the ...
P. Chellamani +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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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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Axioms, 2023 This work focuses on solving and analyzing two-point fuzzy boundary value problems in the form of fractional ordinary differential equations (FFOBVPs) using a new version of the approximation analytical approach.
Ali Fareed Jameel +6 more
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On the Fuzzy Solution of Linear-Nonlinear Partial Differential Equations
Mathematics, 2022 In this article, we present the fuzzy Adomian decomposition method (ADM) and fuzzy modified Laplace decomposition method (MLDM) to obtain the solutions of fuzzy fractional Navier–Stokes equations in a tube under fuzzy fractional derivatives.
Mawia Osman +3 more
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Comparison of smoothing filters in analysis of EEG data for the medical diagnostics purposes [PDF]
, 2020 This paper covers a brief review of both the advantages and disadvantages of the implementation of various smoothing filters in the analysis of electroencephalography (EEG) data for the purpose of potential medical diagnostics.
Blaszczyszyn, Monika +6 more
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Fractal and Fractional, 2022 In this paper, the synchronization of two fractional-order chaotic systems with uncertainties and external disturbances is considered. A fuzzy logic system is utilized to estimate uncertain nonlinearity, and its estimation accuracy is improved by ...
Fengyan Liu, Xiulan Zhang
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Journal of Ocean Engineering and Science, 2023 The main idea of this article is the investigation of atmospheric internal waves, often known as gravity waves. This arises within the ocean rather than at the interface.
Saima Rashid +3 more
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