SOLUTION OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS BY HOMOTOPY ANALYSIS METHOD
Keywords:
homotopy analysis method, fractional integro differential equationAbstract
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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2010-09-01
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SOLUTION OF FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS BY HOMOTOPY ANALYSIS METHOD. ANJS 2010, 13 (3), 149-155.