APROXIMATE ANALYTICAL AND NUMERICAL SOLUTIONS TO SPACE FRACTIONAL DISPERSION EQUATION

Akhtar Ali, Muhammad Mushtaq, Nazir Ahmad Shahid, Azhar Saeed, yasir nadeem anjam

Abstract


In this paper we discuss the partial differential equations of arbitrary order, which generalize the conventional partial differential equations of integral order. The partial differential equations of arbitrary order are used to model problems in many fields of sciences and engineering. Modified Laplace decomposition method has been used to deal linear and non-linear fractional differential equations. In the following paper we used modified Laplace decomposition method to explain fractional partial differential equation in one dimension. In the end an example of space fractional diffusion equation is discussed and it’s approximate. Exact solutions were compared.  The basic aim of this paper is to establish a new technique to solve other similar linear and non-linear problems in this field.


Keywords


One dimensional fractional partial differential equation, Riemann Liouville Derivative, Modified Laplace Decomposition method, Laplace Transform

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