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In this article, we study a class of fractional coupled systems with Riemann-Stieltjes integral boundary conditions and generalized p-Laplacian which involves two different parameters. Based on the Guo-Krasnosel'skii fixed point theorem, some new results on the existence and nonexistence of positive solutions for the fractional system are received, the impact of the two different parameters on the existence and nonexistence of positive solutions is also investigated. An example is then given to illuminate the application of the main results. MSC: 26A33; 34B18

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In this paper we use the fixed point index to study the existence of positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary conditions. Here we use appropriate nonnegative matrices to depict the coupling behavior for our nonlinearities.

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This paper is concerned with the existence and uniqueness of solutions for a sequential fractional differential system with coupled boundary conditions. The existence of solutions is derived by applying Leray-Schauder's alternative, while the uniqueness of the solution is established via Banach's contraction principle. Two examples are then given to demonstrate the validity of our main results.

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