In this article, we investigate upper and lower solutions to a system of coupled nonlinear fractional differential equations with multi-point coupled boundary conditions. Using monotone type iterative techniques combined with the upper and lower solutions method, some necessary and sufficient conditions are developed to guarantee existence of multiple solutions of the problem. The main result is demonstrated by analyzing two test problems.
Digital Object Identifier (DOI)
Shah, Kamal; Khalil, Hammad; and Ali Khan, Rahmat
"Upper and Lower Solutions to a Coupled System of Nonlinear Fractional Differential Equations,"
Progress in Fractional Differentiation & Applications: Vol. 2
, Article 4.
Available at: https://dc.naturalspublishing.com/pfda/vol2/iss1/4