Abstract
We investigate the existence and nonexistence of positive solutions for a system of nonlinear Riemann–Liouville fractional differential equations with parameters and p-Laplacian operator subject to multi-point boundary conditions, which contain fractional derivatives. The proof of our main existence results is based on the Guo–Krasnosel'skii fixed-point theorem.
Highlights
We consider the system of nonlinear ordinary fractional differential equations with r1-Laplacian and r2-Laplacian operators
Systems with fractional differential equations without p-Laplacian operator subject to various multi-point or Riemann–Stieltjes integral boundary conditions were studied in the last years in [6–13, 15, 16, 20, 21, 23, 24]
In Appendix we prove a relation between the supremum limits of two functions, which is used in the proof of the second existence result
Summary
The nonexistence of positive solutions for the above problem is studied. Systems with fractional differential equations without p-Laplacian operator subject to various multi-point or Riemann–Stieltjes integral boundary conditions were studied in the last years in [6–13, 15, 16, 20, 21, 23, 24]. In Appendix we prove a relation between the supremum limits of two functions, which is used in the proof of the second existence result
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