The Techniques for Solving Fractional Burger's Equations
Khaled Abdalla Ishag *
Department of Basic Sciences, Faculty of Engineering Science, Omdurman Islamic University, Khartoum, Sudan.
Abulfida Mohamed Ahmed
Department of Mathematics, Faculty of Education, University of Nyala, Nyala, Sudan.
Asmaa Eltayeb Ali
Department of Mathematics, Faculty of Science and Technology, Omdurman Islamic University, Khartoum, Sudan.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we applied Homotopy Perturbation Method for solving nonlinear fractional Burger's equations. The fractional derivatives described by Caputo's, the study focus four fractional partial differential equations, by this method the solution considered as the sum of an infinite series, which converges rapidly to exact and compared the fractional order of Burger's differential equations with ordinary order of Burger's differential equations. In addition, the graphical represented the solutions, which had been given by MATLAB program.
Keywords: Palaeorelationship of insects with plants, Fractional calculus, Glossopteris leaves and insects, homotopy perturbation method, burger equation, matlab, caputo derivative