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Alkan, Sertan

A new solution method for nonlinear fractional integro-differential equations. (English) Zbl 1337.65175

Discrete Contin. Dyn. Syst., Ser. S 8, No. 6, 1065-1077 (2015).
Summary: The aim of this paper is to obtain approximate solution of a class of nonlinear fractional Fredholm integro-differential equations by means of sinc-collocation method which is not used for solving them in the literature before. The fractional derivatives are defined in the Caputo sense often used in fractional calculus. The important feature of the present study is that obtained results are stated as two new theorems. The introduced method is tested on some nonlinear problems and it seems that the method is a very efficient and powerful tool to obtain numerical solutions of nonlinear fractional integro-differential equations.

Cited in 4 Documents

MSC:

65R20 Numerical methods for integral equations
45B05 Fredholm integral equations
45G10 Other nonlinear integral equations
45J05 Integro-ordinary differential equations
26A33 Fractional derivatives and integrals

Keywords:

nonlinear fractional Fredholm integro-differential equation; sinc-collocation method; Caputo derivative; quadrature rule; mathematica; numerical example

Software:

Mathematica
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Full Text: DOI
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References:

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