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Numerical Solution of Fractional Fredhlom Integral Equation of the Second Kind Based on the Rationalized Haar Wavelet

ZHANG Qian;HAN Hui-li;ZHANG Pan-pan;School of Mathematics and Computer Science,Ningxia University;  
The rationalized Haar functions are used to solve the solution of fractional order Fredholm integral equation of the second kind. The integral equation can be reduced to a system of algebraic equations by using rationalized Haar wavelet and collection method. Finally,the numerical solution of fractional integral equation with exact solution and the numerical solutions using Haar wavelet are compared by error analysis and numerial examples. The result shows that the algorithm has high accuracy.
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