Existence and nonexistence of positive solutions for the fractional coupled system involving generalized \(p\)-Laplacian. (English) Zbl 1444.34019
Summary: 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:
| 34A08 | Fractional ordinary differential equations |
| 26A33 | Fractional derivatives and integrals |
| 34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |
Keywords:
positive solutions; fractional coupled system; Riemann-Stieltjes integral conditions; generalized \(p\)-Laplacian operatorReferences:
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