Existence and uniqueness of mild and classical solutions to fractional order Hadamard-type Cauchy problem
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Authors
Qutaibeh Katatbeh
- Department of Mathematics and Statistics, Faculty of Science and Arts, Jordan University of Science and Technology, Irbid 22110, Jordan.
Ahmad Al-Omari
- Faculty of Sciences, Department of Mathematics, Al al-Bayt University, P. O. Box 130095, Mafraq 25113, Jordan.
Abstract
We consider the existence and uniqueness of a mild and classical solution to impulsive nonlocal conditions
fractional-order Hadamard-type Cauchy problem. The results are obtained by means of fixed point methods. Finally, we illustrate our results by an example of fractional-order Hadamard-type Cauchy problem.
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ISRP Style
Qutaibeh Katatbeh, Ahmad Al-Omari, Existence and uniqueness of mild and classical solutions to fractional order Hadamard-type Cauchy problem, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 3, 827--835
AMA Style
Katatbeh Qutaibeh, Al-Omari Ahmad, Existence and uniqueness of mild and classical solutions to fractional order Hadamard-type Cauchy problem. J. Nonlinear Sci. Appl. (2016); 9(3):827--835
Chicago/Turabian Style
Katatbeh, Qutaibeh, Al-Omari, Ahmad. "Existence and uniqueness of mild and classical solutions to fractional order Hadamard-type Cauchy problem." Journal of Nonlinear Sciences and Applications, 9, no. 3 (2016): 827--835
Keywords
- Hadamard fractional derivative
- integral boundary conditions
- fixed point theorems
- impulsive equations.
MSC
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