Fractional hybrid differential equations with three-point boundary hybrid conditions

In this paper, we study the existence of solutions for hybrid fractional differential equations involving fractional Caputo derivative of order 1 < α ≤ 2 . Our results rely on a hybrid fixed point theorem for a sum of three operators due to Dhage. An example is provided to illustrate the theory....

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Bibliographic Details
Published in:Advances in difference equations 2019-03, Vol.2019 (1), p.1-11, Article 125
Main Authors: Derbazi, Choukri, Hammouche, Hadda, Benchohra, Mouffak, Zhou, Yong
Format: Article
Language:English
Subjects:
Analysis
Caputo fractional derivative
Difference and Functional Equations
Differential equations
Fixed point theorem
Fixed points (mathematics)
Fractional differential equation
Functional Analysis
Hybrid
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators (mathematics)
Ordinary Differential Equations
Partial Differential Equations
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Summary:In this paper, we study the existence of solutions for hybrid fractional differential equations involving fractional Caputo derivative of order 1 < α ≤ 2 . Our results rely on a hybrid fixed point theorem for a sum of three operators due to Dhage. An example is provided to illustrate the theory.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-019-2067-7