On a Fractional Differential Equation with r-Laplacian Operator and Nonlocal Boundary Conditions

We study the existence and multiplicity of positive solutions of a Riemann-Liouville fractional differential equation with r-Laplacian operator and a singular nonnegative nonlinearity dependent on fractional integrals, subject to nonlocal boundary conditions containing various fractional derivatives...

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Bibliographic Details
Published inMathematics (Basel) Vol. 10; no. 17; p. 3139
Main Authors Henderson, Johnny, Luca, Rodica, Tudorache, Alexandru
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.09.2022
Subjects
Banach spaces
Boundary conditions
Boundary value problems
Differential equations
Fixed points (mathematics)
Fractional calculus
Integral equations
Integrals
Laplace transforms
nonlocal boundary conditions
Operators (mathematics)
positive solutions
Riemann-Liouville fractional differential equation
singular functions
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Summary:We study the existence and multiplicity of positive solutions of a Riemann-Liouville fractional differential equation with r-Laplacian operator and a singular nonnegative nonlinearity dependent on fractional integrals, subject to nonlocal boundary conditions containing various fractional derivatives and Riemann-Stieltjes integrals. We use the Guo–Krasnosel’skii fixed point theorem in the proof of our main results.
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ISSN:2227-7390
2227-7390
DOI:10.3390/math10173139