Series solution of fractional differential equations describing physical systems
Keywords:
Non-linear fractional differential equations, series solution, sys- tem of fractional differential equations, decomposition techniqueAbstract
The aim of this paper is to extend the iterative method based on DGJM method of solving
functional equations, to solve the fractional differential equations, where the order of deriva-
tive is taken in Caputo’s sense. The iterative procedure is explained and is demonstrated
by solving non-linear time fractional partial differential equations like Heat equation, Burg-
ers equation, Fokker Planck equation, Korteweg-de Vries (KdV) equation and Klien-Gordon
equation. The scheme of iteration is also extended to solve the system of Drinfeld-Sokolov-
Wilson equations and coupled Jaulent-Miodek equations. Graphs are used to depict the
accuracy of the method and absolute errors between exact and approximate solutions are
tabulated to ensure that the proposed scheme is both computationally intriguing and simple
to implement.
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