Positive Solutions for a System of Coupled Semipositone Fractional Boundary Value Problems with Sequential Fractional Derivatives

We study the existence and multiplicity of positive solutions for a system of Riemann-Liouville fractional differential equations with sequential derivatives, positive parameters and sign-changing singular nonlinearities, subject to nonlocal coupled boundary conditions which contain Riemann-Stieltjes integrals and various fractional derivatives. In the proof of our main existence results we use the nonlinear alternative of Leray-Schauder type and the Guo-Krasnosel'skii fixed point theorem.

Automated summary

This study focuses on a system of Riemann-Liouville fractional differential equations with sequential derivatives, positive parameters, and sign-changing singular nonlinearities, subject to nonlocal coupled boundary conditions containing Riemann-Stieltjes integrals and various fractional derivatives. The main existence results are proven using the nonlinear alternative of Leray-Schauder type and Guo-Krasnosel'skii fixed point theorem.