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

Document Type : Research Article

Authors

Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India

Abstract

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.

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