Application of the Double Fuzzy Sawi Transform for Solving a Telegraph Equation

Georgieva, Atanaska; Pavlova, Albena

doi:10.3390/sym15040854

Cited by 2 publications

(1 citation statement)

References 21 publications

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“…Definition 2.5 The derivative of the function ϑ ( τ ) with respect to the variable τ is referred to as the ST of Caputo as follows [ 29 ] …”

Section: Fuzzy Integral and Sawi Transformmentioning

confidence: 99%

Numerical investigation of two-dimensional fuzzy fractional heat problem with an external source variable

Nadeem,

Alotaibi,

Alotaibi

et al. 2024

PLoS ONE

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This study suggests a strategy for calculating the fuzzy analytical solutions to a two-dimensional fuzzy fractional-order heat problem including a diffusion variable connected externally. We propose Sawi residual power series scheme (SRPSS) which is the amalgamation of Sawi transform and residual power series scheme under the Caputo fractional differential operator. We demonstrate three different examples to derive the fuzzy fractional series solution which is characterized by its rapid convergence and easy finding of the unknown coefficients using the concept of limit at infinity. The most significant aspect of this scheme is that it derives the results without time effort compared with the traditional residual power series approach. Our findings confirm that the SRPSS is a robust and valuable method for approximating the solution of fuzzy fractional problems. Furthermore, we provide 2D and 3D symbolic representations to present the physical behavior of fuzzy fractional problems under the lower and upper bounded solutions.

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“…Definition 2.5 The derivative of the function ϑ ( τ ) with respect to the variable τ is referred to as the ST of Caputo as follows [ 29 ] …”

Section: Fuzzy Integral and Sawi Transformmentioning

confidence: 99%

Numerical investigation of two-dimensional fuzzy fractional heat problem with an external source variable

Nadeem,

Alotaibi,

Alotaibi

et al. 2024

PLoS ONE

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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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Application of the Double Fuzzy Sawi Transform for Solving a Telegraph Equation

Cited by 2 publications

References 21 publications

Numerical investigation of two-dimensional fuzzy fractional heat problem with an external source variable

Numerical investigation of two-dimensional fuzzy fractional heat problem with an external source variable

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

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