Q-HOMOTOPY SHEHU ANALYSIS TRANSFORM METHOD OF TIME-FRACTIONAL COUPLED BURGERS EQUATIONS

Authors : Umut BEKTAŞ, Halil ANAÇ

Pages : 177-191

Doi:10.18038/estubtda.1312725

View : 49 | Download : 49

Publication Date : 2023-09-22

Article Type : Research Paper

Abstract :In this study, numerical solutions to time-fractional coupled Burgers equations are obtained utilizing the q-homotopy Shehu analysis transform method. The definition of fractional derivatives in the sense of Caputo. q-homotopy Shehu analysis transform method is also used to find the numerical solutions of the time-fractional coupled Burgers equations. In addition, the MAPLE software is utilized to plot the graphs of the solutions. These results demonstrate that the presented method is accurate and simple to implement.
Keywords : q homotopy Shehu analysis transform method, coupled Burgers equations, Mittag Leffler function