Title: A fractional Temimi‐Ansari method (FTAM) with convergence analysis for solving physical equations.
Authors: Arafa, Anas A. M.; El‐Sayed, Ahmed M. A.; SH. Hagag, Ahmed M.
Abstract: The aim of this paper is to describe the new fractional Temimi‐Ansari method (FTAM) for the KdV‐Burgers equation and the Benjamin‐Bona‐Mahoney‐Burger equation (BBMB) with time fractional order. Convergence of the presented method has been successfully achieved. This method does not need any assumptions for nonlinear terms. FTAM with time fractional order is demonstrated to be a very simple and effective approach to solving nonlinear fractional problems. The accuracy and efficiency of FTAM has been demonstrated by studying the convergence of this technique.
Subjects: NONLINEAR equations; EQUATIONS; FRACTIONAL calculus
Publication: Mathematical Methods in the Applied Sciences, 2021, Vol 44, Issue 8, p6612
ISSN: 0170-4214
Publication type: Academic Journal
DOI: 10.1002/mma.7212

A fractional Temimi‐Ansari method (FTAM) with convergence analysis for solving physical equations.

Arafa, Anas A. M.; El‐Sayed, Ahmed M. A.; SH. Hagag, Ahmed M.