Approximate controllability of neutral delay integro-differential inclusion of order \(\alpha\in (1, 2)\) with non-instantaneous impulses. (English) Zbl 1500.93009
Summary: This paper aims to establish the approximate controllability results for fractional neutral integro-differential inclusions with non-instantaneous impulse and infinite delay. Sufficient conditions for approximate controllability have been established for the proposed control problem. The tools for study include the fixed point theorem for discontinuous multi-valued operators with the \(\alpha\)-resolvent operator. Finally, the proposed results are illustrated with the help of an example.
MSC:
| 93B05 | Controllability |
| 93C27 | Impulsive control/observation systems |
| 45J05 | Integro-ordinary differential equations |
| 34K09 | Functional-differential inclusions |
| 34K45 | Functional-differential equations with impulses |
| 26A33 | Fractional derivatives and integrals |
Keywords:
approximate controllability; non-instantaneous impulses; fractional neutral differential inclusions; integro; \(\alpha\)-resolvent operator; delayReferences:
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