Existence of Solutions for Fractional Differential Inclusions with Separated Boundary Conditions in Banach Space

被引：23

作者：

Bragdi, Mabrouk ^{[1
]}

Debbouche, Amar ^{[2
]}

Baleanu, Dumitru ^{[3
,4
,5
]}

机构：

[1] Larbi Ben Mhidi Univ, Lab Dynam Syst & Control, Dept Math, Oum El Bouaghi, Algeria

[2] Guelma Univ, Dept Math, Guelma 24000, Algeria

[3] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

[4] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia

[5] Inst Space Sci, Magurele, Romania

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2013年 / 2013卷

关键词：

POSITIVE SOLUTIONS;

D O I：

10.1155/2013/426061

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss the existence of solutions for a class of some separated boundary differential inclusions of fractional orders 2 < alpha < 3 involving the Caputo derivative. In order to obtain necessary conditions for the existence result, we apply the fixed point technique, fractional calculus, and multivalued analysis.

引用

页数：5

共 26 条

[1] Positive solutions for mixed problems of singular fractional differential equations [J].

Agarwal, Ravi P. ;

O'Regan, Donal ;

Stanek, Svatoslav .

MATHEMATISCHE NACHRICHTEN, 2012, 285 (01) :27-41

[2] BOUNDARY VALUE PROBLEMS FOR n-TH ORDER DIFFERENTIAL INCLUSIONS WITH FOUR-POINT INTEGRAL BOUNDARY CONDITIONS [J].

Ahmad, Bashir ;

Ntouyas, Sotiris K. .

OPUSCULA MATHEMATICA, 2012, 32 (02) :205-226

[3] A Note on Fractional Differential Equations with Fractional Separated Boundary Conditions [J].

Ahmad, Bashir ;

Ntouyas, Sotiris K. .

ABSTRACT AND APPLIED ANALYSIS, 2012,

[4] Some boundary value problems of fractional differential equations and inclusions [J].

Ahmad, Bashir ;

Nieto, Juan J. ;

Pimentel, Johnatan .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) :1238-1250

[5]

Aitalioubrahim M., 2010, ELECT J DIFFERENTIAL, V2010, P1

[6]

[Anonymous], 2012, EXP DIABETES RES

[7]

[Anonymous], 2006, Journal of the Electrochemical Society

[8] Generalized wave equation in nonlocal elasticity [J].

Atanackovic, T. M. ;

Stankovic, B. .

ACTA MECHANICA, 2009, 208 (1-2) :1-10

[9] Existence and multiplicity of positive solutions for singular fractional boundary value problems [J].

Bai, Zhanbing ;

Sun, Weichen .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (09) :1369-1381

[10]

Boucherif A., 2004, ELECT J DIFFERENTIAL, V2004, P1

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