Nonlocal initial and boundary value problems via fractional calculus with exponential singular kernel
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Authors
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.
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.
- Centre of Excellence in Mathematics, CHE, Ayutthaya Rd., Bangkok 10400, Thailand.
Chalong Sawaddee
- Department of Applied Mathematics and Statistics, Faculty of Sciences and Liberal Arts, Rajamangala University of Technology Isan, Nakhon Ratchasima 30000, Thailand.
Abstract
In this paper, we investigate the existence and uniqueness of solutions for nonlocal initial and boundary value problems of exponential fractional differential equations, by applying standard fixed point theorems. Enlightening examples are also presented.
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ISRP Style
Sotiris K. Ntouyas, Jessada Tariboon, Chalong Sawaddee, Nonlocal initial and boundary value problems via fractional calculus with exponential singular kernel, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 9, 1015--1030
AMA Style
Ntouyas Sotiris K., Tariboon Jessada, Sawaddee Chalong, Nonlocal initial and boundary value problems via fractional calculus with exponential singular kernel. J. Nonlinear Sci. Appl. (2018); 11(9):1015--1030
Chicago/Turabian Style
Ntouyas, Sotiris K., Tariboon, Jessada, Sawaddee, Chalong. "Nonlocal initial and boundary value problems via fractional calculus with exponential singular kernel." Journal of Nonlinear Sciences and Applications, 11, no. 9 (2018): 1015--1030
Keywords
- Exponential fractional integral
- exponential fractional derivative
- nonlocal initial value problems
- nonlocal boundary value problems
- fixed point theorems
MSC
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