Solutions for impulsive fractional pantograph differential equation via generalized anti-periodic boundary condition

Autor: Idris Ahmed, Poom Kumam, Jamilu Abubakar, Piyachat Borisut, Kanokwan Sitthithakerngkiet
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-15 (2020)
Druh dokumentu: article
ISSN: 1687-1847
DOI: 10.1186/s13662-020-02887-4
Popis: Abstract This study investigates the solutions of an impulsive fractional differential equation incorporated with a pantograph. This work extends and improves some results of the impulsive fractional differential equation. A differential equation of an impulsive fractional pantograph with a more general anti-periodic boundary condition is proposed. By employing the well-known fixed point theorems of Banach and Krasnoselskii, the existence and uniqueness of the solution of the proposed problem are established. Furthermore, two examples are presented to support our theoretical analysis.
Databáze: Directory of Open Access Journals
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