Open Access

ARTICLE

Numerical Solution of Fractional Fredholm-Volterra Integro-Differential Equations by Means of Generalized Hat Functions Method

Baofeng Li ¹

1 Department of Mathematics and Information Science, Tangshan Normal University, Tangshan, Hebei, China.

Computer Modeling in Engineering & Sciences 2014, 99(2), 105-122. https://doi.org/10.3970/cmes.2014.099.105

Abstract

In this paper, operational matrix method based on the generalized hat functions is introduced for the approximate solutions of linear and nonlinear fractional integro-differential equations. The fractional order generalized hat functions operational matrix of integration is also introduced. The linear and nonlinear fractional integro-differential equations are transformed into a system of algebraic equations. In addition, the method is presented with error analysis. Numerical examples are included to demonstrate the validity and applicability of the approach.

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Keywords

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