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where A is the infinitesimal generator of a strongly continuous semigroup of bounded linear operators T (t) on a Banach space X; f : [0, b]×X → X; 0 < t1 < t2 < · · · < tp < tp+1 = b; Ii : X → X, i = 1, 2, · · · , p are impulsive functions and g : PC([0, b];X) → X . During recent years, the impulsive differential equations have been an object of intensive(More)
This article concerns the existence of solutions to nonlocal fractional differential equations in Banach spaces. By using a type of newly-defined measure of noncompactness, we discuss this problem in general Banach spaces without any compactness assumptions to the operator semigroup. Some existence results are obtained when the nonlocal term is compact and(More)
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