APROXIMATE ANALYTICAL AND NUMERICAL SOLUTIONS TO SPACE FRACTIONAL DISPERSION EQUATION

Authors

  • Akhtar Ali Department of mathematics, UET Lahore.
  • Muhammad Mushtaq Department of mathematics, UET Lahore.
  • Nazir Ahmad Shahid Department of mathematics, Lahore Garrison University Lahore
  • Azhar Saeed Department of mathematics, Lahore Garrison University Lahore
  • yasir nadeem anjam Department of mathematics, UET Lahore.

Keywords:

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

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.

Author Biographies

Akhtar Ali, Department of mathematics, UET Lahore.

Ph. D Scholar, 

Department of mathematics, UET Lahore.

Muhammad Mushtaq, Department of mathematics, UET Lahore.

Associate Professor, 

Department of mathematics, UET Lahore.

Nazir Ahmad Shahid, Department of mathematics, Lahore Garrison University Lahore

Chairman, Department of mathematics, Lahore Garrison University Lahore

Azhar Saeed, Department of mathematics, Lahore Garrison University Lahore

Department of mathematics, Lahore Garrison University Lahore

yasir nadeem anjam, Department of mathematics, UET Lahore.

Ph. D Scholar, Department of mathematics, UET Lahore.

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Published

2014-07-17

How to Cite

Ali, A., Mushtaq, M., Shahid, N. A., Saeed, A., & anjam, yasir nadeem. (2014). APROXIMATE ANALYTICAL AND NUMERICAL SOLUTIONS TO SPACE FRACTIONAL DISPERSION EQUATION. Journal of the Pakistan Institute of Chemical Engineers, 42(2), 15–23. Retrieved from http://piche.org.pk/journal/index.php/jpiche/article/view/158

Issue

Vol. 42 No. 2 (2014): Journal of the Pakistan Institute of Chemical Engineers

Section

Articles

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