Boundary Value Problems for Hybrid Caputo Fractional Differential Equations

Zidane Baitiche, Kaddour Guerbati, Mouffak Benchohra and Yong Zhou
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Zidane Baitiche: Mathematics and Applied Sciences Laboratory, Ghardaia University, Ghardaia 47000, Algeria
Kaddour Guerbati: Mathematics and Applied Sciences Laboratory, Ghardaia University, Ghardaia 47000, Algeria
Mouffak Benchohra: Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, Sidi Bel-Abbes 22000, Algeria
Yong Zhou: Faculty of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, Hunan, China

Mathematics, 2019, vol. 7, issue 3, 1-11

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.

Keywords: fractional differential equations; boundary value problem; Caputo fractional derivative; measure of noncompactness; Darbo fixed point theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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