SOLUTION OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS BY HOMOTOPY ANALYSIS METHOD

Authors

  • Osama H Mohammed Department of Mathematics, College of Science, Al-Nahrain University, Baghdad-Iraq.

Keywords:

homotopy analysis method, fractional integro differential equation

Abstract

fractional integro-differential equations of the formt*0D y(t) p(t)y(  t)  f (t)   k(t,s)F(y(s)) ds , 0 <  < 1Where the fractional derivative is described in the Caputo sense. We shall employ here twoapproaches based on homotopy analysis method first for the linear fractional integro-differentialequations and second for the nonlinear fractional integro-differential equations. This indicates thevalidity and great potential of the homotopy analysis method for solving such types of equations

 

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Published

2010-09-01

Issue

Vol. 13 No. 3 (2010): September

Section

Articles

How to Cite

[1]
“SOLUTION OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS BY HOMOTOPY ANALYSIS METHOD”, ANJS, vol. 13, no. 3, pp. 149–155, Sep. 2010, Accessed: Apr. 19, 2024. [Online]. Available: https://anjs.edu.iq/index.php/anjs/article/view/1056