Geodesic
Positive solutions for a class of fractional boundary value problems with fractional boundary conditions
Azman, I. 1 ; Jleli, M. 1 ; López, B. 2 ; Sadarangani, K. 2 ; Samet, B. 1
1 Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh, 11451, Saudi Arabia
2 Department of Mathematics, rsidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 2, p. 237-251.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.011.02.06
Classification : 34A08, 31B10, 47H07
Keywords: Fractional boundary value problem, fractional integral boundary condition, mixed monotone operator

Azman, I.  1 ; Jleli, M.  1 ; López, B.  2 ; Sadarangani, K.  2 ; Samet, B.  1

1 Department of Mathematics, College of Science, King Saud University, P. O. Box 2455, Riyadh, 11451, Saudi Arabia
2 Department of Mathematics, rsidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain 
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     title = {Positive solutions for a class of  fractional boundary value problems  with fractional boundary conditions},
     journal = {Journal of nonlinear sciences and its applications},
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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 its applications, Tome 11 (2018) no. 2, p. 237-251. doi : 10.22436/jnsa.011.02.06. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.02.06/

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