Open AccessA New Computational Approach for Solving Fractional Order Telegraph Equations
Author(s) -
A. Durga Devi,
Manjeet Jakhar
Publication year - 2021
Publication title -
journal of scientific research
Language(s) - English
Resource type - Journals
eISSN - 2070-0245
pISSN - 2070-0237
DOI - 10.3329/jsr.v13i3.50659
Subject(s) - adomian decomposition method , mathematics , telegrapher's equations , decomposition method (queueing theory) , order (exchange) , operator (biology) , series (stratigraphy) , integer (computer science) , fractional calculus , decomposition , reliability (semiconductor) , exact solutions in general relativity , mathematical analysis , differential equation , computer science , discrete mathematics , physics , repressor , ecology , chemistry , biology , telecommunications , paleontology , biochemistry , power (physics) , quantum mechanics , transcription factor , programming language , transmission line , finance , economics , gene
In this work, a modified decomposition method namely Sumudu-Adomian Decomposition Method (SADM) is implemented to find the exact and approximate solutions of fractional order telegraph equations. The derivatives of fractional-order are expressed in terms of caputo operator. Some numerical examples are illustrated to examine the efficiency of the proposed technique. Solutions of fractional order telegraph equations are obtained in the form of a series solution. It is observed that the solutions of fractional order telegraph equations converge towards the solution of an integer-order problem, which confirmed the reliability of the suggested method.