Abstract
In our paper, we primarily concentrate on the existence and controllability results for fractional evolution inclusions of order 1 < r < 2 with Clarke's subdifferential type. By applying the facts related to the measure of noncompactness, fractional calculus, and fixed-point technique, the principal results are proved. Initially, we are concentrating the existence and continue to prove the controllability of the fractional evolution system. In the end, we present an example to demonstrate the theory.
| Original language | English |
|---|---|
| Article number | e22691 |
| Journal | Numerical Methods for Partial Differential Equations |
| Volume | 40 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 2024 |
Keywords
- Clarke's subdifferential type
- controllability
- existence
- fractional evolution inclusions
- measure of noncompactness
- mild solutions
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