Iterative approximation of positive solutions for fractional boundary value problem on the half-line

Abstract

In this paper, an iterative method is applied to solve some $p$-Laplacian boundary value problem involving  Riemann-Liouville fractional derivative operator. More precisely,  we establish the existence of two positive solutions. Moreover, we prove that these solutions are one maximal and the other is minimal.  An example is presented to illustrate our main result. Finally, a numerical method to solve this problem is given.