MULTISCALE APPROXIMATION AND SPARSE REPRESENTATION OF THE SOLUTION OF FRACTIONAL DIFFERENTIAL EQUATIONS

The multi-wavelet Galerkin method is utilized to solve the fractional differential equations. Using the method, the problem reduces to a system of algebraic equations. In this work, for the first time, the wavelet properties are considered to solve and reduce the computational load for these equations. An illustrative example is also reported, demonstrating the accuracy and flexibility of the method.