On a nonlocal problem for fractional integrodifferential inclusions in Banach spaces

被引：13

作者：

Yan, Zuomao ^{[1
]}

机构：

[1] Hexi Univ, Dept Math, Zhangye 734000, Gansu, Peoples R China

来源：

ANNALES POLONICI MATHEMATICI | 2011年 / 101卷 / 01期

关键词：

fractional integrodifferential inclusion; fractional derivative; fixed point; nonlocal condition; DIFFERENTIAL-INCLUSIONS; EVOLUTION INCLUSIONS; MILD SOLUTION; EXISTENCE; EQUATIONS; CONTROLLABILITY; UNIQUENESS; SYSTEMS;

D O I：

10.4064/ap101-1-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates a class of fractional functional integrodifferential inclusions with nonlocal conditions in Banach spaces. The existence of mild solutions of these inclusions is determined under mixed continuity and Caratheodory conditions by using strongly continuous operator semigroups and Bohnenblust-Karlin's fixed point theorem.

引用

页码：87 / 103

页数：17

共 39 条

[21]

Hu S. H., 1997, Handbook of Multivalued Analysis, Math. Appl., V419

[22] On the existence and uniqueness of solutions of a class of fractional differential equations [J].

Ibrahim, Rabha W. ;

Momani, Shaher .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) :1-10

[23] Existence of the mild solution for fractional semilinear initial value problems [J].

Jaradat, Omar K. ;

Al-Omari, Ahmad ;

Momani, Shaher .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (09) :3153-3159

[24] Theory of fractional functional differential equations [J].

Lakshmikantham, V. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (10) :3337-3343

[25] Basic theory of fractional differential equations [J].

Lakshmikantham, V. ;

Vatsala, A. S. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (08) :2677-2682

[26]

LASOTA A, 1965, B ACAD POL SCI SMAP, V13, P781

[27] Semilinear integrodifferential equations with nonlocal cauchy problem [J].

Lin, YP ;

Liu, JH .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (05) :1023-1033

[28] On integral solutions of some nonlocal fractional differential equations with nondense domain [J].

Mophou, G. M. ;

N'Guerekata, G. M. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (10) :4668-4675

[29] Existence of the mild solution for some fractional differential equations with nonlocal conditions [J].

Mophou, G. M. ;

N'Guerekata, G. M. .

SEMIGROUP FORUM, 2009, 79 (02) :315-322

[30] Existence and approximation of solutions to fractional differential equations [J].

Muslim, M. .

MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (5-6) :1164-1172

← 1 2 3 4 →