FRACTIONAL PROBLEMS WITH RIGHT-HANDED RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES
Abstract
In this paper, we investigate the existence of solutions for advanced fractional differential equations containing the right-handed Riemann-Liouville fractional derivative both with nonlinear boundary conditions and also with initial conditions given at the end point T of interval [0,T]. We use both the method of successive approximations, the Banach fixed point theorem and the monotone iterative technique, as well. Linear problems are also discussed. A few examples illustrate the results.
Keywords:
right-handed Riemann-Liouville fractional derivatives, nonlinear boundary problems, linear problems, existence of solutions, Mittag-Leffler functionsDetails
- Issue
- Vol. 20 No. 1 (2016)
- Section
- Research article
- Published
- 2016-03-31
- DOI:
- https://doi.org/10.17466/TQ2016/20.1/J
- Licencja:
-
This work is licensed under a Creative Commons Attribution 4.0 International License.
