A new approximate solution for the Telegraph equation of space-fractional order derivative by using Sumudu method

Mohammed G. S. AL-Safi; Wurood R. Abd AL-Hussein; Ayad Ghazi Naser Al-Shammari

Mohammed G. S. AL-Safi Department of Accounting- Al-Esraa University College, Baghdad, Iraq
Wurood R. Abd AL-Hussein Department of Accounting- Al-Esraa University College, Baghdad, Iraq
Ayad Ghazi Naser Al-Shammari Ministry of Education-General Directorate of Vocational Education

Keywords: Fractional calculus, Caputo derivative, Sumudu transforms, Telegraph equation

Abstract

In this work, we are concerned with how to find an explicit approximate solution (AS) for the telegraph equation of space-fractional order (TESFO) using Sumudu transform method (STM). In this method, the space-fractional order derivatives are defined in the Caputo idea. The Sumudu method (SM) is established to be reliable and accurate. Three examples are discussed to check the applicability and the simplicity of this method. Finally, the Numerical results are tabulated and displayed graphically whenever possible to make comparisons between the AS and exact solution (ES).