The Homotopy Analysis Method for Solving Multi- Fractional Order Integro-Differential Equations
Keywords:
homotopy analysis method, fractional integro differential equations, Caputo fractional derivativeAbstract
Abstract:
In this paper we use the homotopy analysis method to solve special types of the initial value problems that consist of multi-fractional order integro differential equation in which the fractional derivative and fractional integral in them are described in the Caputo sense and Riemann-Liouville sense respectively. Numerical examples are solved by using this method. These examples shows that high accuracy, simplicity and efficiency of this method.
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Published
2011-09-01
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(1)
The Homotopy Analysis Method for Solving Multi- Fractional Order Integro-Differential Equations. ANJS 2011, 14 (3), 139-143.