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

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


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