Positive Solutions for a Semipositone Singular ψ –Riemann–Liouville Fractional Boundary Value Problem

Alexandru Tudorache and Rodica Luca ()
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Alexandru Tudorache: Department of Computer Science and Engineering, Gh. Asachi Technical University, 700050 Iasi, Romania
Rodica Luca: Department of Mathematics, Gh. Asachi Technical University, 700506 Iasi, Romania

Mathematics, 2025, vol. 13, issue 20, 1-24

Abstract: We explore the existence of positive solutions to a ψ –Riemann–Liouville fractional differential equation with a parameter and a sign-changing singular nonlinearity, supplemented with nonlocal boundary conditions which contain Riemann–Stieltjes integrals and various fractional derivatives. To establish our main results, we use the Guo–Krasnosel’skii fixed-point theorem.

Keywords: ψ –Riemann–Liouville fractional differential equation; nonlocal boundary conditions; singular functions; sign-changing functions; positive solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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