A NONLOCAL HYBRID BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

doi:10.1016/S0252-9602(16)30095-9

数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (6): 1631-1640.doi: 10.1016/S0252-9602(16)30095-9

A NONLOCAL HYBRID BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

Bashir AHMAD¹, Sotiris K. NTOUYAS^2,3, Jessada TARIBOON⁴

1. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia;
2. Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece;
3. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia;
4. Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand

收稿日期:2015-07-04 修回日期:2016-04-29 出版日期:2016-12-25 发布日期:2016-12-25
通讯作者: Sotiris K. NTOUYAS,E-mail:sntouyas@uoi.gr E-mail:sntouyas@uoi.gr
作者简介:Bashir AHMAD,E-mail:bashirahmad_qau@yahoo.com;Jessada TARIBOON,E-mail:jessadat@kmutnb.ac.th

A NONLOCAL HYBRID BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

Bashir AHMAD¹, Sotiris K. NTOUYAS^2,3, Jessada TARIBOON⁴

1. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia;
2. Department of Mathematics, University of Ioannina, 45110 Ioannina, Greece;
3. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia;
4. Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok 10800, Thailand

Received:2015-07-04 Revised:2016-04-29 Online:2016-12-25 Published:2016-12-25
Contact: Sotiris K. NTOUYAS,E-mail:sntouyas@uoi.gr E-mail:sntouyas@uoi.gr

摘要/Abstract

摘要：

In this paper, we discuss the existence of solutions for a nonlocal hybrid boundary value problem of Caputo fractional integro-differential equations. Our main result is based on a hybrid fixed point theorem for a sum of three operators due to Dhage, and is well illustrated with the aid of an example.

关键词: Caputo fractional derivative, integral, hybrid, fixed point theorem

Abstract:

Key words: Caputo fractional derivative, integral, hybrid, fixed point theorem

中图分类号:

34A08

Bashir AHMAD, Sotiris K. NTOUYAS, Jessada TARIBOON. A NONLOCAL HYBRID BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS[J]. 数学物理学报(英文版), 2016, 36(6): 1631-1640.

Bashir AHMAD, Sotiris K. NTOUYAS, Jessada TARIBOON. A NONLOCAL HYBRID BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia,Series B, 2016, 36(6): 1631-1640.

参考文献

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A NONLOCAL HYBRID BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

A NONLOCAL HYBRID BOUNDARY VALUE PROBLEM OF CAPUTO FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS

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