Solution of linear fractional Fredholm integro-differential equation by using second kind Chebyshev wavelet

In the present paper, a numerical method is proposed to solve the fractional Fredholm integro-differential equation. The proposed method is based on the Chebyshev wavelet approximation. Using the approximation of an unknown function, its fractional derivative and its Integral operator in terms of Chebyshev wavelet, the fractional Fredholm integro-differential equation is ultimately reduced to a system of linear equations which can be solved easily. The test examples are given for illustration. The obtained results are compared for various number of basis functions in the Chebyshev wavelet. The proposed method is easy to understand, easy to implement and gives a very good accuracy. The errors are further measured with the help of different norms to show the good accuracy obtained.