On a Fractional Differential Equation with Ir/I-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...

Full description

Saved in:
Bibliographic Details
Published inMathematics (Basel) Vol. 10; no. 17
Main Authors Henderson, Johnny, Luca, Rodica, Tudorache, Alexandru
Format Journal Article
LanguageEnglish
Published MDPI AG 01.09.2022
Subjects
Differential equations
Fixed point theory
Laplacian operator
Mathematical research
United States
Online AccessGet full text

Cover

More Information
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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10173139