Existence and approximation of solutions to fractional order hybrid differential equations

We consider fractional hybrid differential equations involving the Caputo fractional derivative of order 0 < α < 1 . Using fixed point theorems developed by Dhage et al. in Applied Mathematics Letters 34 , 76-80 ( 2014 ), we prove the existence and approximation of mild solutions. In addition,...

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Bibliographic Details
Published in:Advances in difference equations 2016-12, Vol.2016 (1), p.1-11, Article 278
Main Authors: Somjaiwang, Dussadee, Sa Ngiamsunthorn, Parinya
Format: Article
Language:English
Subjects:
Analysis
Approximation
Derivatives
Difference and Functional Equations
Difference equations
Differential equations
Formulas (mathematics)
Functional Analysis
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
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Summary:We consider fractional hybrid differential equations involving the Caputo fractional derivative of order 0 < α < 1 . Using fixed point theorems developed by Dhage et al. in Applied Mathematics Letters 34 , 76-80 ( 2014 ), we prove the existence and approximation of mild solutions. In addition, we provide a numerical example to illustrate the results obtained.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-016-0999-8