Existence and multiplicity of positive solutions for a system of nonlinear fractional multi-point boundary value problems with \(p\)-Laplacian operator. (English) Zbl 07905121
Summary: In this paper, we deal with a coupled system of nonlinear fractional multi-point boundary value problems with \(p\)-Laplacian operator. The existence and multiplicity of positive solutions are obtained by employing Leray-Schauder alternative theory, Leggett-Williams fixed point theorem and Avery-Henderson fixed point theorem. As an application, two examples are given to illustrate the effectiveness of our main results.
MSC:
| 26A33 | Fractional derivatives and integrals |
| 34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
Keywords:
fractional differential system; \(p\)-Laplacian operator; coupled boundary conditions; fixed point theoremReferences:
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