TY  - EJOU
AU  - Li, Baofeng 

TI  - Numerical Solution of Fractional Fredholm-Volterra Integro-Differential Equations by Means of Generalized Hat Functions Method
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2014
VL  - 99
IS  - 2
SN  - 1526-1506

AB  - 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.
KW  - Fractional integro-differential equations
KW  -  generalized hat functions
KW  -  operational matrix
KW  -  error analysis
KW  -  numerical solution

DO  - 10.3970/cmes.2014.099.105