Impulsive fractional differential equations with \(\mathrm{p}\)-Laplacian operator in Banach spaces. (English) Zbl 1406.34021
Summary: In this paper, we study a class of boundary value problem (BVP) with multiple point boundary conditions of impulsive \(p\)-Laplacian operator fractional differential equations. We establish the sufficient conditions for the existence of solutions in Banach spaces. Our analysis relies on the Kuratowski noncompactness measure and the Sadovskii fixed point theorem. An example is given to demonstrate the main results.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34B37 | Boundary value problems with impulses for ordinary differential equations |
| 34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
Keywords:
multipoint boundary conditions; impulsive \(p\)-Laplacian operator; fractional differential equations; Kuratowski noncompactness measure; Sadovskii fixed point theoremReferences:
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