TY - JOUR
ID - 12173
TI - An infinite number of nonnegative solutions for iterative system of singular fractional order Boundary value problems
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Prasad, Kapula Rajendra
AU - Mahammad, Khuddush
AU - Pogadadanda, Veeraiah
AD - Department of Applied Mathematics, College of Science and Technology,
Andhra University, Visakhapatnam, 530003-India.
Y1 - 2021
PY - 2021
VL - 9
IS - 4
SP - 940
EP - 958
KW - Iterative system
KW - Riemann-Stieltjes integral
KW - homeomorphism
KW - nonegative solutions
DO - 10.22034/cmde.2020.41028.1780
N2 - 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.
UR - https://cmde.tabrizu.ac.ir/article_12173.html
L1 - https://cmde.tabrizu.ac.ir/article_12173_f3ed58b5e324f129cba1f9ca78309502.pdf
ER -