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SOLUTION OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS BY HOMOTOPY ANALYSIS METHOD | ||
| Journal of Al-Nahrain University - Science | ||
| Article 1, Volume 13, Issue 3, 2010, Pages 149-155 | ||
| Author | ||
| Osama H. Mohammed | ||
| Abstract | ||
| fractional integro-differential equations of the form t * 0 D y(t) p(t)y( t) f (t) k(t,s)F(y(s)) ds , 0 < < 1 Where the fractional derivative is described in the Caputo sense. We shall employ here two approaches based on homotopy analysis method first for the linear fractional integro-differential equations and second for the nonlinear fractional integro-differential equations. This indicates the validity and great potential of the homotopy analysis method for solving such types of equations | ||
| Keywords | ||
| Homotopy Analysis Method; fractional integro differential equations | ||
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