Implicit fractional differential equation with anti-periodic boundary condition involving Caputo-Katugampola type

Autor: Saleh S. Redhwan, Sadikali L. Shaikh, Mohammed S. Abdo
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: AIMS Mathematics, Vol 5, Iss 4, Pp 3714-3730 (2020)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2020240/fulltext.html
Popis: This paper deals with a nonlinear implicit fractional differential equation with the anti-periodic boundary condition involving the Caputo-Katugampola type. The existence and uniqueness results are established by applying the fixed point theorems of Krasnoselskii and Banach. Further, by using generalized Gronwall inequality the Ulam-Hyers stability results are proved. To demonstrate the effectiveness of the main results, appropriate examples are granted.
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