Countably many positive solutions for singular R-L fractional order bvp with R-S integral boundary conditions

Abstract

In this article, we establish the existence of countably infinitely many positive solutions for singular fractional order Boundary value problem involving Riemann-Stieltjes integral boundary condition with increasing homeomorphism and positive homomorphism operator by using H¨older’s inequality and Krasnoselskii’s fixed-point theorem (in cone) in a Banach spaces.