Positive solutions to a system of psi-Riemann–Liouville fractional differential equations with coupled boundary conditions
Articles
Alexandru Tudorache
Gheorghe Asachi Technical University of Iaşi
https://orcid.org/0000-0003-0151-505X
Rodica Luca
Gheorghe Asachi Technical University of Iaşi
Published 2026-07-15
https://doi.org/10.15388/namc.2026.31.47756
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Keywords

psi-Riemann–Liouville fractional differential equations
coupled boundary conditions
sign-changing functions
positive solutions

How to Cite

Tudorache, A. and Luca, R. (2026) “Positive solutions to a system of psi-Riemann–Liouville fractional differential equations with coupled boundary conditions”, Nonlinear Analysis: Modelling and Control, 31, pp. 1–24. doi:10.15388/namc.2026.31.47756.

Abstract

We investigate the existence of positive solutions for a system of ψ-Riemann–Liouville fractional differential equations with positive parameters and sign-changing nonlinearities subject to nonlocal coupled boundary conditions containing Riemann–Stieltjes integrals and fractional derivatives of various orders. To prove our main result, we use the nonlinear alternative of Leray–Schauder type.

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