VARIOUS WAVELET METHODS FOR SOLVING FRACTIONAL FREDHOLM-VOLTERRA INTEGRAL EQUATIONS
This work is supported by the National Natural Science Foundation of China (10962008; 11261045; 51061015) and Research Fund for the Doctoral Program of Higher Education of China (20116401110002).
This paper presents the computational techniques for fractional Fredholm-Volterra integral equations. Various rationalized wavelet functions approximation together with collocation method is utilized to reduce this form of integral equations into a system of algebraic equations. Moreover, through illustrative example, a comparison of numerical solutions by using Harr wavelets, Legendre wavelets, Chebyshev wavelets, confirms the expected accuracy. Specially, this method is computationally attractive while the equations have not been solved analytically.