Weak solutions for fractional differential equations in nonreflexive Banach spaces via Riemann-Pettis integrals

被引：14

作者：

Agarwal, Ravi P. ^{[1
]}

Lupulescu, Vasile ^{[2
]}

O'Regan, Donal ^{[3
]}

ur Rahman, Ghaus ^{[4
,5
]}

机构：

[1] Texas A&M Univ, Dept Math, Kingsville, TX USA

[2] Constantin Brancusi Univ, Republ 1, Targu Jiu 210152, Romania

[3] Natl Univ Ireland Univ Coll Galway, Sch Math Stat & Appl Math, Galway, Ireland

[4] Univ Swat, Khyber Pakhtunkhwa, Pakistan

[5] GC Univ Lahore, Abdus Salam Sch Math Sci, Lahore 54000, Pakistan

来源：

MATHEMATISCHE NACHRICHTEN | 2016年 / 289卷 / 04期

关键词：

Weak solution; Riemann-Pettis integral; Caputo weak derivative; fractional differential equation; CALCULUS; THEOREM;

D O I：

10.1002/mana.201400010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to develop fractional calculus for vector-valued functions using the weak Riemann integral. Also, we establish the existence of weak solutions for a class of fractional differential equations with fractional weak derivatives. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：395 / 409

页数：15

共 41 条

[1] Fractional calculus and fractional differential equations in nonreflexive Banach spaces [J].