SOLUTION OF TIME FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS BY VARIATIONAL ITERATION METHOD AND APPLICATIONS
BHAUSAHEB R. SONTAKKE *
Department of Mathematics, Pratishthan Mahavidyalaya, Paithan, Aurangabad (M.S.), India.
ABHIJEET S. SHELKE
Department of Mathematics, Dr .Babasaheb Ambedkar Marathwada University, Aurangabad (M.S.), India.
*Author to whom correspondence should be addressed.
In this paper, approximate solution of time fractional partial differential equations is obtained by using He's variational iteration method (VIM). The VIM is compatible and efficient for obtaining the approximate solutions of linear and nonlinear fractional differential equation. This method is based on Lagrange's multiplier for identification of optimal value of parameters in a functional. As an application of this method, we solve some test problems and its solution is represented graphically by software Mathematica
Keywords: Time fractional partial differential equation, caputo fractional derivative, variational iteration method, mathematica