Existence of solutions for the boundary value problem of non-instantaneous impulsive fractional differential equations with p-Laplacian operator

Autor: Yiyun Li, Jingli Xie, Luping Mao
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 9, Pp 17592-17602 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022968?viewType=HTML
Popis: In this paper, we consider a boundary value problem of impulsive fractional differential equations with the nonlinear p-Laplacian operator, where impulses are non-instantaneous. By converting the given problem into an equivalent integral form and applying the Schauder fixed point theorem, we obtain some sufficient conditions for the existence of solutions. An illustrative example is presented to demonstrate the validity of our results.
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