Impulsive Hilfer fractional differential equations

Existence and controllability results for nonlinear Hilfer fractional differential equations are studied. Sufficient conditions for existence and approximate controllability for Sobolev-type impulsive fractional differential equations are established, where the time fractional derivative is the Hilf...

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Bibliographic Details
Published in:Advances in difference equations 2018-06, Vol.2018 (1), p.1-20, Article 226
Main Authors: Ahmed, Hamdy M., El-Borai, Mahmoud M., El-Owaidy, Hassan M., Ghanem, Ahmed S.
Format: Article
Language:English
Subjects:
Analysis
Approximate controllability
Contraction mapping principle
Controllability
Difference and Functional Equations
Functional Analysis
Impulsive condition
Mathematical analysis
Mathematics
Mathematics and Statistics
Nonlinear control
Nonlinear equations
Ordinary Differential Equations
Partial Differential Equations
Sobolev-type Hilfer fractional differential equation
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Summary:Existence and controllability results for nonlinear Hilfer fractional differential equations are studied. Sufficient conditions for existence and approximate controllability for Sobolev-type impulsive fractional differential equations are established, where the time fractional derivative is the Hilfer derivative. An example for Sobolev-type Hilfer fractional delay partial differential equation with impulsive condition is considered.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-018-1679-7