Controllability problem for fractional impulsive integrodifferential evolution systems of mixed type with the measure of noncompactness
We consider the controllability problem for a class of fractional impulsive evolution systems of mixed type in an infinite dimensional Banach space. The existence of mild solutions and controllability results are discussed by a new estimation technique of the measure of noncompactness and a fixed...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Erdal KARAPINAR
2020-06-01
|
| Series: | Results in Nonlinear Analysis |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/1156038 |
| Summary: | We consider the controllability problem for a class of fractional impulsive evolution systems of mixed type in
an infinite dimensional Banach space. The existence of mild solutions and controllability results are discussed
by a new estimation technique of the measure of noncompactness and a fixed point theorem with respect
to a convex-power condensing operator. However, the main results do not need any restrictive conditions on estimated parameters of the measure of noncompactness. Since we do not assume that the semigroup is compact and other conditions are more general, the outcomes we obtain here improve and generalize many known controllability results. An example is also given to demonstrate the applications of our main results. |
|---|---|
| ISSN: | 2636-7556 2636-7556 |