Anti-periodic boundary value problems for Caputo-Fabrizio fractional impulsive differential equations

Autor: Benyoub Mohammed, Belghaba Kacem
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematica Moravica, Vol 26, Iss 2, Pp 49-62 (2022)
Druh dokumentu: article
ISSN: 1450-5932
2560-5542
DOI: 10.5937/MatMor2202049B
Popis: In this paper, we shall discuss the existence and uniqueness of solutions for a nonlinear anti-periodic boundary value problem for fractional impulsive differential equations involving a Caputo-Fabrizio fractional derivative of order r ∈ (0, 1). Our results are based on some fixed point theorem, nonlinear alternative of Leray-Schauder type and coupled lower and upper solutions.
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