Weighted fractional differential equations with infinite delay in Banach spaces

• Autorzy: Qixiang Dong , Can Liu , Zhenbin Fan
• Języki publikacji: EN

Abstrakty

EN

This paper is devoted to the study of fractional differential equations with Riemann-Liouville fractional derivatives and infinite delay in Banach spaces. The weighted delay is developed to deal with the case of non-zero initial value, which leads to the unboundedness of the solutions. Existence and uniqueness results are obtained based on the theory of measure of non-compactness, Schaude’s and Banach’s fixed point theorems. As auxiliary results, a fractional Gronwall type inequality is proved, and the comparison property of fractional integral is discussed.

Słowa kluczowe

EN

Fractional integral; Fractional derivative; Functional differential equation; Infinite delay

Kategorie tematyczne

• 34A08: Fractional differential equations
• 34K37: Functional-differential equations with fractional derivatives

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 370-383

Daty

wydano

2016-01-01

otrzymano

2016-02-25

zaakceptowano

2016-05-23

online

2016-06-08

Twórcy

autor

Qixiang Dong

• School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, P.R.

autor

Can Liu

autor

Zhenbin Fan

Identyfikatory

DOI

10.1515/math-2016-0035