Application of the Double Fuzzy Sawi Transform for Solving a Telegraph Equation-Reference-Cited by-同舟云学术

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

Published:2023-04-03 Issue:4 Volume:15 Page:854
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Georgieva Atanaska Tencheva¹^ORCID,Pavlova Albena²^ORCID

Affiliation:

1. Department of Mathematical Analysis, University of Plovdiv Paisii Hilendarski, 24 Tzar Asen, 4003 Plovdiv, Bulgaria

2. Department of MPC, Technical University-Sofia, Plovdiv Branch, 25 Tzanko Djustabanov Str., 4000 Plovdiv, Bulgaria

Abstract

The main purpose of this study is to introduce a new double fuzzy transform called the double fuzzy Sawi transform. A proof of some basic properties of the single fuzzy Sawi transform and the double fuzzy Sawi transform are provided. These new results are implemented to obtain the exact solution of a non-homogeneous linear fuzzy telegraph equation under a generalized Hukuhara partial differentiability. In addition, by using the symmetric triangular fuzzy numbers, numerical examples are given to demonstrate the validity and superiority of the double fuzzy Sawi transform in solving the fuzzy linear telegraph equation.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/4/854/pdf

Reference32 articles.

1. A New Procedures for Solving Two Classes of Fuzzy Singular Integro-Differential Equations: Airfoil Collocation Methods;Araour;Int. J. Appl. Comput. Math.,2022

2. Model Tumor Response to Cancer Treatment Using Fuzzy Partial SH-Transform: An Analytic Study;Kadham;Int. J. Math. Comput. Sci.,2022

3. Di Martino, F., Perfilieva, I., and Sessa, S. (2021). A Summary of F-Transform Techniques in Data Analysis. Electronics, 10.

4. Napole, C., Derbeli, M., and Barambones, O. (2022). Experimental Analysis of a Fuzzy Scheme against a Robust Controller for a Proton Exchange Membrane Fuel Cell System. Symmetry, 14.

5. Introduction to fuzzy partial differential equations;Buckley;Fuzzy Sets Syst.,1999

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