Abstract
In this study, we consider high-order (m-th order) linear fractional integro-differential equations (FracIDEs) of Fredholm-Volterra type with boundary conditions. At first we use auxilary function to transform nonhomogenuous boundary condition into homogenuous boundary condition and reduce FracIDEs with homogenuous boundary conditions into Fredholm-Volterra fractional integral equations (FracIEs) of the second kind. Then, modified homotopy perturbation method (HPM) is applied to solve the FracIEs. Suitable choices of unknown parameters together with two step iteration lead to the higher accurate approximate solution. Existance of inverse of fractional differentiation allows us to find the solution of original FracIDEs. Finally, two numerical example with comparisions other methods are presented to show the validity and the efficiency of the method presented.
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