A new reproducing kernel method for solving the fractional differential
equations
Abstract
In this paper, we investigate an efficient technique for solving
fractional differential equations (FDEs). The proposed technique is
based upon Legendre polynomials to construct reproducing kernel spaces,
the ε-approximate method is presented in space, and stability and
convergence analysis are given by analyzing the condition number of the
matrix of the linear system. Finally, comparison with the existing
algorithm by the numerical experiments illustrates that efficiency and
stability of the proposed method.