In the paper, we consider a regular fractional Sturm-Liouville problem with left and right Caputo derivatives of order in the range (1/2, 1). It depends on an arbitary positive continuous function and obeys the mixed boundary conditions defined on a finite interval. We prove that it has an infinite countable set of positive eigenvalues and its continuous… (More)
In this paper, we present a numerical method to solve fractional ordinary differential equation (FDE) with Caputo derivative of order in the range (0,1]. The proposed scheme is a variant of Adams - Bashforth - Moulton method. In the final part, examples of numerical results are discussed.