Positive solutions for a class of fractional boundary value problems with fractional boundary conditions
Volume 11, Issue 2, pp 237--251
http://dx.doi.org/10.22436/jnsa.011.02.06
Publication Date: February 02, 2018
Submission Date: October 05, 2017
Revision Date: December 17, 2017
Accteptance Date: December 21, 2017
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Authors
I. Azman
- Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh, 11451, Saudi Arabia.
M. Jleli
- Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh, 11451, Saudi Arabia.
B. López
- Department of Mathematics, rsidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain.
K. Sadarangani
- Department of Mathematics, rsidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain.
B. Samet
- Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh, 11451, Saudi Arabia.
Abstract
In this paper, we study the solvability of a nonlinear fractional differential equation under fractional integral boundary conditions.
Via a mixed monotone operator method, some new results on the existence and uniqueness of a positive solution for the considered model are obtained. Moreover, we provide iterative sequences for approximating the solution. Some examples are also presented in order to illustrate the obtained result.
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ISRP Style
I. Azman, M. Jleli, B. López, K. Sadarangani, B. Samet, Positive solutions for a class of fractional boundary value problems with fractional boundary conditions, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 2, 237--251
AMA Style
Azman I., Jleli M., López B., Sadarangani K., Samet B., Positive solutions for a class of fractional boundary value problems with fractional boundary conditions. J. Nonlinear Sci. Appl. (2018); 11(2):237--251
Chicago/Turabian Style
Azman, I., Jleli, M., López, B., Sadarangani, K., Samet, B.. "Positive solutions for a class of fractional boundary value problems with fractional boundary conditions." Journal of Nonlinear Sciences and Applications, 11, no. 2 (2018): 237--251
Keywords
- Fractional boundary value problem
- fractional integral boundary condition
- mixed monotone operator
MSC
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