Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778788 | Bulletin des Sciences Mathématiques | 2017 | 19 Pages |
Abstract
In this paper, we discuss a new class of fractional order differential switched systems with coupled nonlocal initial and impulsive conditions in Rn. We firstly derive a solution formula for this system. Secondly, we utilize three well-known fixed point methods to present the existence results. Moreover, we use Schauder topological degree theory to show a new existence result for resonant case: Landesman-Lazer conditions. Finally, we introduce the concepts of Ulam's type stability and present new stability results in the space of fractional version piecewise continuous functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
JinRong Wang, Michal FeÄkan, Yong Zhou,