Denumerably many positive solutions for singular iterative system of fractional differential equation with R-L fractional integral boundary conditions

In this paper, we establish the existence of denumerably many positive solutions for singular iterative system of fractional order boundary value problem involving Riemann--Liouville integral boundary conditions with increasing homeomorphism and positive homomorphism operator by using H\"{o}lder's inequality and Krasnoselskii's cone fixed point theorem in a Banach space.

Keywords:

Denumerable , positive solutions , fractional derivative , homeomorphism , homomorphism , Fixed point theorem