On the existence of solutions of a set-valued functional integral equation of Volterra–Stieltjes type and some applications

Autor: Ahmed Mohamed El-Sayed, Shorouk Mahmoud Al-Issa
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-16 (2020)
Druh dokumentu: article
ISSN: 1687-1847
DOI: 10.1186/s13662-020-2531-4
Popis: Abstract This paper is concerned with the existence of continuous solutions of a set-valued functional integral equation of Volterra–Stieltjes type. The continuous dependence of the solution on the set of selections of the set-valued function will be proven. As an application, we study the existence of solutions to an initial-value problem of arbitrary fractional-order differential inclusion.
Databáze: Directory of Open Access Journals
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