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Controllability results for non densely defined impulsive fractional differential equations in abstract space. (English) Zbl 1466.34069

Summary: In this paper, we study controllability results for non-densely defined impulsive fractional differential equation by applying the concepts of semigroup theory, fractional calculus, and Banach Fixed Point Theorem. An example is also discussed to illustrate the obtained results.

MSC:

34K37 Functional-differential equations with fractional derivatives
34K30 Functional-differential equations in abstract spaces
34K35 Control problems for functional-differential equations
34K45 Functional-differential equations with impulses
93B05 Controllability
47D06 One-parameter semigroups and linear evolution equations
47N20 Applications of operator theory to differential and integral equations
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