On hybrid Caputo fractional integro-differential inclusions with nonlocal conditions

被引：18

作者：

Ahmad, Bashir ^{[1
]}

Ntouyas, Sotiris K. ^{[1
,2
]}

Tariboon, Jessada ^{[3
]}

机构：

[1] King Abdulaziz Univ, Dept Math, NAAM Res Grp, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia

[2] Univ Ioannina, Dept Math, Ioannina 45110, Greece

[3] King Mongkuts Univ Technol North Bangkok, Nonlinear Dynam Anal Res Ctr, Fac Sci Appl, Dept Math, Bangkok 10800, Thailand

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 06期

关键词：

Caputo fractional derivative; integro-differential inclusion; hybrid boundary value problem; fixed point theorem; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; EXTREMAL SOLUTIONS; EXISTENCE;

D O I：

10.22436/jnsa.009.06.65

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the existence of solutions for a nonlocal hybrid boundary value problem of Caputo fractional integro-differential inclusions. A hybrid fixed point theorem of Schaefer type for a sum of three operators due to Dhage is applied to obtain the main result. The paper concludes with an illustrative example. (C) 2016 All rights reserved.

引用

页码：4235 / 4246

页数：12

共 27 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]

Ahmad B., 2011, ELECT J QUAL THEORY, V2011

[3]

Ahmad B., 2014, ABSTR APPL AN, V2014

[4]

Ahmad B., 2014, SCI WORLD J, V2014

[5] A NONLOCAL HYBRID BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS [J].

Ahmad, Bashir ;

Ntouyasi, Sotiris K. ;

Tariboon, Jessada .

ACTA MATHEMATICA SCIENTIA, 2016, 36 (06) :1631-1640

[6] NONLOCAL FRACTIONAL BOUNDARY VALUE PROBLEMS WITH SLIT-STRIPS BOUNDARY CONDITIONS [J].

Ahmad, Bashir ;

Ntouyas, Sotiris K. .

FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2015, 18 (01) :261-280

[7] Existence of solutions for irregular boundary value problems of nonlinear fractional differential equations [J].

Ahmad, Bashir .

APPLIED MATHEMATICS LETTERS, 2010, 23 (04) :390-394

[8]

[Anonymous], 2006, THEORY APPL FRACTION

[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]

Deimling K., 1992, De Gruyter Series in Nonlinear Analysis and Applications

← 1 2 3 →