Exact Solution to Nonlinear System of Coupled-Time Fractional Boussinesq-Burger Equation using FNDM
• Mahmoud Rawashdeh,
• Shifaa Bani-Issa
Mahmoud Rawashdeh
Michigan State University
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Shifaa Bani-Issa
Jordan University of Science and Technology
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## Abstract

In this work, we give an exact solution to nonlinear system of coupled time-fractional Boussinesq-Burger equation using the Fractional Natural Decomposition Method (FNDM). Also, we find approximate solutions to nonlinear fractional system of ordinary differential equations and exact solutions in the case when $\alpha=\beta=\gamma=1$. The numerical computations in the tables show that our analytical solutions converge very rapidly to the exact solutions