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

Author:

Georgieva Atanaska Tencheva1ORCID,Pavlova Albena2ORCID

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)

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