%0 Journal Article
%T An infinite number of nonnegative solutions for iterative system of singular fractional order Boundary value problems
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Prasad, Kapula Rajendra
%A Mahammad, Khuddush
%A Pogadadanda, Veeraiah
%D 2021
%\ 10/01/2021
%V 9
%N 4
%P 940-958
%! An infinite number of nonnegative solutions for iterative system of singular fractional order Boundary value problems
%K Iterative system
%K Riemann-Stieltjes integral
%K homeomorphism
%K nonegative solutions
%R 10.22034/cmde.2020.41028.1780
%X In 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.
%U https://cmde.tabrizu.ac.ir/article_12173_f3ed58b5e324f129cba1f9ca78309502.pdf