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A note on impulsive fractional evolution equations with nondense domain. (English) Zbl 1246.34015

Summary: We are concerned with the existence of integral solutions for nondensely defined fractional functional differential equations with impulse effects. Some errors in the existing paper concerned with nondensely defined fractional differential equations are pointed out, and correct formula of integral solutions is established by using integrated semigroup and some probability densities. Sufficient conditions for the existence are obtained by applying the Banach contraction mapping principle. An example is also given to illustrate our results.

MSC:

34A08 Fractional ordinary differential equations
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