Acta mathematica scientia,Series B ›› 2016, Vol. 36 ›› Issue (6): 1631-1640.doi: 10.1016/S0252-9602(16)30095-9

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

Bashir AHMAD1, Sotiris K. NTOUYAS2,3, Jessada TARIBOON4   

  1. 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

Abstract:

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.

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

CLC Number: 

  • 34A08
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