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

Johnny Henderson, Rodica Luca () and Alexandru Tudorache
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Johnny Henderson: Department of Mathematics, Baylor University, Waco, TX 76798-7328, USA
Rodica Luca: Department of Mathematics, Gheorghe Asachi Technical University, 700506 Iasi, Romania
Alexandru Tudorache: Department of Computer Science and Engineering, Gheorghe Asachi Technical University, 700050 Iasi, Romania

Mathematics, 2022, vol. 10, issue 17, 1-15

Abstract: 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.

Keywords: Riemann-Liouville fractional differential equation; nonlocal boundary conditions; singular functions; positive solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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