Controllability of Hilfer type fractional evolution neutral integro-differential inclusions with non-instantaneous impulses. (English) Zbl 1526.93014
In this paper, the controllability of Hilfer fractional evolution neutral integro-differential inclusions with non-instantaneous impulses has been studied. The main results have been proved by means of Mönch fixed point theorem combined with Hausdorff measure of non-compactness. An example has also been given to illustrate the obtained theoretical results.
Reviewer: Yong-Kui Chang (Xi’an)
MSC:
| 93B05 | Controllability |
| 34A08 | Fractional ordinary differential equations |
| 34A37 | Ordinary differential equations with impulses |
| 34A60 | Ordinary differential inclusions |
| 45J05 | Integro-ordinary differential equations |
Keywords:
Hilfer fractional derivatives; controllability; differential inclusions; fixed point theorem; non-instantaneous impulsiveReferences:
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