Existence of positive solutions for a semipositone boundary value problem with sequential fractional derivatives

We investigate the existence and multiplicity of positive solutions for a system of Riemann‐Liouville fractional differential equations with sequential derivatives, positive parameters and sign‐changing singular nonlinearities, subject to nonlocal uncoupled boundary conditions which contain various...

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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 44; no. 18; pp. 14451 - 14469
Main Authors Tudorache, Alexandru, Luca, Rodica
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 01.12.2021
Subjects
Boundary conditions
Boundary value problems
Derivatives
Differential equations
Existence theorems
Fixed points (mathematics)
fractional differential equations
Nonlinearity
nonlocal and multipoint boundary value problems
positive solutions of nonlinear boundary value problems
singular nonlinear boundary value problems
systems of nonlinear integral equations
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Summary:We investigate the existence and multiplicity of positive solutions for a system of Riemann‐Liouville fractional differential equations with sequential derivatives, positive parameters and sign‐changing singular nonlinearities, subject to nonlocal uncoupled boundary conditions which contain various fractional derivatives and Riemann‐Stieltjes integrals. We apply the nonlinear alternative of Leray‐Schauder type and the Guo‐Krasnosel'skii fixed point theorem in the proof of our main existence results.
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content type line 14
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7712