Perturbed functional fractional differential equation of Caputo-Hadamard order

Autor: Hamani Samira
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematica Moravica, Vol 28, Iss 1, Pp 17-28 (2024)
Druh dokumentu: article
ISSN: 1450-5932
2560-5542
DOI: 10.5937/MatMor2401017H
Popis: In this paper, we investigate the existence of solution and extremal solutions for an initial-value problem of perturbed functional fractional differential equations with Caputo-Hadamard derivative. Our analysis relies on the fixed point theorem of Burton and Kirk and the concept of upper and lower solutions combined with a fixed point theorem in ordered Banach space established by Dhage and Henderson.
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