University of Guilan Journal of Mathematical Modeling 2345-394X 9 2 2021 05 01 Denumerably many positive solutions for singular iterative system of fractional differential equation with R-L fractional integral boundary conditions 257 275 4351 10.22124/jmm.2020.16598.1441 EN Kapula Rajendra Prasad Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India Mahammad Khuddush Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India Mahanty Rashmita Department of Applied Mathematics, College of Science and Technology, Andhra University, Visakhapatnam, 530003, India Journal Article 2020 05 20 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. Denumerable positive solutions fractional derivative homeomorphism homomorphism Fixed point theorem https://jmm.guilan.ac.ir/article_4351_fec198a0464282cff08461adf34a82c2.pdf