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Existence results for fractional differential equations of arbitrary order with nonlocal integral boundary conditions.
- Source :
-
Boundary Value Problems . 12/1/2015, p1-13. 13p. - Publication Year :
- 2015
-
Abstract
- In this paper, we investigate the existence of solutions for fractional differential equations of arbitrary order with nonlocal integral boundary conditions. The existence results are obtained by applying Krasnoselskii's fixed point theorem and Leray-Schauder degree theory, while the uniqueness of the solutions is established by means of Banach's contraction mapping principle. The paper concludes with illustrative examples. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 16872762
- Database :
- Academic Search Index
- Journal :
- Boundary Value Problems
- Publication Type :
- Academic Journal
- Accession number :
- 112374296
- Full Text :
- https://doi.org/10.1186/s13661-015-0484-4