An Approximate-Analytical Solution to Analyze Fractional View of Telegraph Equations

IEEE Access

Muhammad Arif¹  Hassan Khan²  Izaz Ali²  Umar Farooq²  Dumitru Baleanu³  Poom Kumam⁴ 

[1] Center of Excellence in Theoretical and Computational Science (TaCS-CoE), King Mongkut&x2019;Department of Mathematics, Abdul Wali Khan University Mardan (AWKUM), Mardan, Pakistan;Department of Mathematics, Faculty of Arts and Sciences, &x00C7;ankaya University, Ankara, Turkey;

关键词: Mohand transformation;    telegraph equations;    Adomian decomposition method;    Caputo operator;   

DOI  :  10.1109/ACCESS.2020.2970242

来源: DOAJ

【 摘 要 】

In the present research article, a modified analytical method is applied to solve time-fractional telegraph equations. The Caputo-operator is used to express the derivative of fractional-order. The present method is the combination of two well-known methods namely Mohan transformation method and Adomian decomposition method. The validity of the proposed technique is confirmed through illustrative examples. It is observed that the obtained solutions have strong contact with the exact solution of the examples. Moreover, it is investigated that the present method has the desired degree of accuracy and provided the graphs closed form solutions of all targeted examples. The graphs have verified the convergence analysis of fractional-order solutions to integer-order solution. In conclusion, the suggested method is simple, straightforward and an effective technique to solve fractional-order partial differential equations.

【 授权许可】

Unknown