A New Operational Method for Solving Nonlinear Volterra Integro-differential Equations with Fractional Order

M. Mohseni Moghadam, H. Saeedi, N. Mollahasani

Abstract


In this paper we introduce a new operational method, which is based on the generalized Taylor formula and Caputo fractional derivative. We employ this method to solve a fractional Volterra integro-differential equation with supplementary conditions. Some examples are included to demonstrate the validity and applicability of the technique. Numerical results confirm the efficiency of the method.


Keywords


Fractional calculus; Integro-differential equation; Operational method; Taylor series

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DOI: http://dx.doi.org/10.26713%2Fjims.v2i2+%26+3.30

eISSN 0975-5748; pISSN 0974-875X