University of TabrizComputational Methods for Differential Equations2345-39829420211001An infinite number of nonnegative solutions for iterative system of singular fractional order Boundary value problems9409581217310.22034/cmde.2020.41028.1780ENKapula RajendraPrasadDepartment of Applied Mathematics, College of Science and Technology,
Andhra University, Visakhapatnam, 530003-India.KhuddushMahammadDepartment of Applied Mathematics, College of Science and Technology,
Andhra University, Visakhapatnam, 530003-India.0000-0002-1236-8334VeeraiahPogadadandaDepartment of Applied Mathematics, College of Science and Technology,
Andhra University, Visakhapatnam, 530003-India.Journal Article20200802In this paper, we consider the iterative system of singular Rimean-Liouville fractional-order boundary value problems with Riemann-Stieltjes integral boundary conditions involving increasing homeomorphism and positive homomorphism operator(IHPHO). By using Krasnoselskii’s cone fixed point theorem in a Banach space, we derive sufficient conditions for the existence of an infinite number of nonnegative solutions. The sufficient conditions are also derived for the existence of a unique nonnegative solution to the addressed problem by fixed point theorem in complete metric space. As an application, we present an example to illustrate the main results.https://cmde.tabrizu.ac.ir/article_12173_f3ed58b5e324f129cba1f9ca78309502.pdf