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Mathematics 2019, 7(3), 282; https://doi.org/10.3390/math7030282

Boundary Value Problems for Hybrid Caputo Fractional Differential Equations

1
Mathematics and Applied Sciences Laboratory, Ghardaia University, Ghardaia 47000, Algeria
2
Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, Sidi Bel-Abbes 22000, Algeria
3
Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia
4
Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan, China
5
Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
*
Author to whom correspondence should be addressed.
Received: 30 January 2019 / Revised: 12 March 2019 / Accepted: 15 March 2019 / Published: 19 March 2019
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PDF [275 KB, uploaded 26 March 2019]

Abstract

In this paper, we discuss the existence of solutions for a hybrid boundary value problem of Caputo fractional differential equations. The main tool used in our study is associated with the technique of measures of noncompactness. As an application, we give an example to illustrate our results. View Full-Text
Keywords: fractional differential equations; boundary value problem; Caputo fractional derivative; measure of noncompactness; Darbo fixed point theorem fractional differential equations; boundary value problem; Caputo fractional derivative; measure of noncompactness; Darbo fixed point theorem
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Baitiche, Z.; Guerbati, K.; Benchohra, M.; Zhou, Y. Boundary Value Problems for Hybrid Caputo Fractional Differential Equations. Mathematics 2019, 7, 282.

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