Fuzzy Sawi Decomposition Method for Solving Nonlinear Partial Fuzzy Differential Equations

Georgieva, Atanaska; Pavlova, Albena

doi:10.3390/sym13091580

Cited by 12 publications

(7 citation statements)

References 27 publications

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“…This paper presents a formal proof of fundamental properties associated with the single fuzzy Sawi transform and the double fuzzy Sawi transform. The present study employs a technique to derive the precise solution of a nonhomogeneous linear fuzzy telegraph equation, incorporating a generalized Hukuhara partial differentiability [18].…”

Section: Introductionmentioning

confidence: 99%

The Numerical Solutions of the Conformable Time-Fractional Noyes Field Model via a New Hybrid Method

ÖNER,

ANAÇ

2023

Ikonion Journal of Mathematics

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The application of the conformable fractional hybrid method is employed for the purpose of analyzing the conformable fractional Noyes Field model. The Maple software is utilized for the purpose of generating graphical representations of the numerical solutions that effectively address this particular model. The efficacy and consistency of the proposed technique have been demonstrated through the utilization of numerical simulations.

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Section: Introductionmentioning

confidence: 99%

The Numerical Solutions of the Conformable Time-Fractional Noyes Field Model via a New Hybrid Method

ÖNER,

ANAÇ

2023

Ikonion Journal of Mathematics

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“…[8], solved fuzzy system of Fredholm integral equations. Also, Behzadi [5], solving nonlinear i fuzzy Volterra Fredholm integral equations with Adomain decompositon method. In many papers have combine with Laplace -Adomian transform method and Sumudu -Adomain transform to solve diferential and integral equations.…”

Section: Introductionmentioning

confidence: 99%

“…Bushnaq at al. [9] find solution a fuzzy Volterra Abel's integral equation of the second kind with Laplace -ADM. Georgieva [4,5,14], gave solution two dimensional fuzzy Volterra-Fredholm with Adomain and use double fuzzy Sumudu Transform to solve partial Volterra Fuzzy Integro-Differential Equations and fuzzy Sawi decompositon for nonlinear differential equations. L. Al-Taee at al.…”

Section: Introductionmentioning

confidence: 99%

Applications of Double Fuzzy Sumudu Adomain Decompositon Method for Two-dimensional Volterra Fuzzy Integral Equations

Alidema

2022

Eur. J. Pure Appl. Math.

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In this paper, we combine double Sumudu transform with Adomian decomposition method to solve two dimensional fuzzy convolution Volterra integral equations. We give some definition for fuzzy number, fuzzy valued function which are prerequest for combine the double fuzzy Sumudu transform with Adomian decomposition transform method. We describe the method and finally, numerical examples are given to illustrate the efficiency and applicability of our method.

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“…Recently, Wazwaz [32,33], Yan [34], and Zhu [35,36] demonstrated the ADM's efficacy in solving various nonlinear equations via solitary construction. Furthermore, see [37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

On the Fuzzy Solution of Linear-Nonlinear Partial Differential Equations

Osman

Xia²,

Omer³

et al. 2022

Mathematics

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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. We have looked at the turbulent flow of a viscous fluid in a tube, where the velocity field is a function of only one spatial coordinate, in addition to time being one of the dependent variables. Furthermore, we investigate the fuzzy Elzaki transform, and the fuzzy Elzaki decomposition method (EDM) applied to solving fuzzy linear-nonlinear Schrodinger differential equations. The proposed method worked perfectly without any need for linearization or discretization. Finally, we compared the fuzzy reduced differential transform method (RDTM) and fuzzy homotopy perturbation method (HPM) to solving fuzzy heat-like and wave-like equations with variable coefficients. The RDTM and HPM solutions are simpler than other already existing methods. Several examples are provided to illustrate the methods that have been offered. The results obtained using the scheme presented here agree well with the analytical solutions and the numerical results presented elsewhere. These studies are important in the context of the development of the theory of fuzzy partial differential equations.

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Fuzzy Sawi Decomposition Method for Solving Nonlinear Partial Fuzzy Differential Equations

Cited by 12 publications

References 27 publications

The Numerical Solutions of the Conformable Time-Fractional Noyes Field Model via a New Hybrid Method

The Numerical Solutions of the Conformable Time-Fractional Noyes Field Model via a New Hybrid Method

Applications of Double Fuzzy Sumudu Adomain Decompositon Method for Two-dimensional Volterra Fuzzy Integral Equations

On the Fuzzy Solution of Linear-Nonlinear Partial Differential Equations

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