Nonlinear fractional differential equations in nonreflexive Banach spaces and fractional calculus

被引:8
|
作者
Agarwal, Ravi P. [1 ,2 ]
Lupulescu, Vasile [3 ]
O'Regan, Donal [2 ,4 ]
Rahman, Ghaus Ur [5 ]
机构
[1] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA
[2] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia
[3] Constantin Brancusi Univ, Targu Jiu 210152, Romania
[4] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
[5] Univ Swat, Dept Math & Stat, Khyber Paukhtunkhwa, Pakistan
关键词
WEAK SOLUTIONS; INTEGRAL-EQUATION; KNESERS THEOREM; EXISTENCE;
D O I
10.1186/s13662-015-0451-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to correct some ambiguities and inaccuracies in Agarwal et al. (Commun. Nonlinear Sci. Numer. Simul. 20(1): 59-73, 2015; Adv. Differ. Equ. 2013: 302, 2013, doi:10.1186/1687-1847-2013-302) and to present new ideas and approaches for fractional calculus and fractional differential equations in nonreflexive Banach spaces.
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页数:18
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