Existence and controllability results of impulsive neutral fractional integro-differential equation with sectorial operator and infinite delay. (English) Zbl 1469.34102
Summary: In this paper, we deal with the existence, uniqueness and controllability results for fractional impulsive neutral functional integro-differential evolution equation in Banach spaces. The main techniques depend on the fractional calculus properties of characteristic solution operators and sectorial operators. Particulary, we do not consider that the system produces a compact semigroup. So we claim that phase space for infinite delay with impulse. Finally an example is given to illustrate for our required results.
MSC:
| 34K35 | Control problems for functional-differential equations |
| 34K37 | Functional-differential equations with fractional derivatives |
| 34K30 | Functional-differential equations in abstract spaces |
| 34K45 | Functional-differential equations with impulses |
| 47D06 | One-parameter semigroups and linear evolution equations |
| 93B05 | Controllability |
| 47N20 | Applications of operator theory to differential and integral equations |
Keywords:
fractional derivative; impulsive neutral functional differential equation; Schaefer’s fixed point theorem; sectorial operators; controllabilityReferences:
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