Coupled systems of Riemann-Liouville fractional differential equations with Hadamard fractional integral boundary conditions
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Authors
Jessada Tariboon
- Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, Thailand.
Sotiris K. Ntouyas
- Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece.
- Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia.
Weerawat Sudsutad
- Nonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut's University of Technology North Bangkok, Bangkok, 10800, Thailand.
Abstract
In this paper we study existence and uniqueness of solutions for coupled systems consisting from fractional
differential equations of Riemann-Liouville type subject to coupled and uncoupled Hadamard fractional
integral boundary conditions. The existence and uniqueness of solutions is established by Banach's contraction principle, while the existence of solutions is derived by using Leray-Schauder's alternative. Examples
illustrating our results are also presented.
Share and Cite
ISRP Style
Jessada Tariboon, Sotiris K. Ntouyas, Weerawat Sudsutad, Coupled systems of Riemann-Liouville fractional differential equations with Hadamard fractional integral boundary conditions, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 1, 295--308
AMA Style
Tariboon Jessada, Ntouyas Sotiris K., Sudsutad Weerawat, Coupled systems of Riemann-Liouville fractional differential equations with Hadamard fractional integral boundary conditions. J. Nonlinear Sci. Appl. (2016); 9(1):295--308
Chicago/Turabian Style
Tariboon, Jessada, Ntouyas, Sotiris K., Sudsutad, Weerawat. "Coupled systems of Riemann-Liouville fractional differential equations with Hadamard fractional integral boundary conditions." Journal of Nonlinear Sciences and Applications, 9, no. 1 (2016): 295--308
Keywords
- Riemann-Liouville fractional derivative
- Hadamard fractional integral
- coupled system
- existence
- uniqueness
- fixed point theorems.
MSC
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