On a singular Riemann–Liouville fractional boundary value problem with parameters

We investigate the existence of positive solutions for a nonlinear Riemann–Liouville fractional differential equation with a positive parameter subject to nonlocal boundary conditions, which contain fractional derivatives and Riemann–Stieltjes integrals. The nonlinearity of the equation is nonnegati...

Full description

Saved in:
Bibliographic Details
Published inNonlinear analysis (Vilnius, Lithuania) Vol. 26; no. 1; pp. 151 - 168
Main Authors Tudorache, Alexandru, Luca, Rodica
Format Journal Article
LanguageEnglish
Published Vilnius University Press 01.01.2021
Subjects
nonlocal boundary conditions
positive parameter
positive solutions
Riemann–Liouville fractional differential equation
semipositone problem
singularities
positive solutions
nonlocal boundary conditions
Riemann–Liouville fractional differential equation
positive parameter
semipositone problem
singularities
Online AccessGet full text

Cover

More Information
Summary:We investigate the existence of positive solutions for a nonlinear Riemann–Liouville fractional differential equation with a positive parameter subject to nonlocal boundary conditions, which contain fractional derivatives and Riemann–Stieltjes integrals. The nonlinearity of the equation is nonnegative, and it may have singularities at its variables. In the proof of the main results, we use the fixed point index theory and the principal characteristic value of an associated linear operator. A related semipositone problem is also studied by using the Guo–Krasnosel’skii fixed point theorem.
ISSN:1392-5113
2335-8963
DOI:10.15388/namc.2021.26.21414