On convergence of homotopy analysis method and its application to fractional integro-differential equations
S. AbbasbandyDepartment of Mathematics , Imam Khomeini International University , Ghazvin , 34149 , IranMir Sajjad HashemiDepartment of Mathematics and Computer Science, Engineering and Technical Faculty , University of Bonab , Bonab , 55517 , IranIshak HashimCentre for Modelling & Data Analysis, School of Mathematical Sciences , Universiti Kebangsaan Malaysia , 43600 , Bangi Selangor , Malaysia
2013en
ABI
Abstract
Abstract In this paper, we have used the homotopy analysis method (HAM) to obtain approximate solution of fractional integro-differential equations (FIDEs). Convergence of HAM is considered for this kind of equations. Also some examples are given to illustrate the high efficiency and precision of HAM.
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