Non-local boundary value problems for impulsive fractional integro-differential equations in Banach spaces. (English) Zbl 1278.26010
Summary: We establish some conditions for existence and uniqueness of solutions to semilinear fractional impulsive integro-differential evolution equations with non-local conditions using Schauder’s fixed point theorem and the contraction mapping principle.
Keywords:
boundary value problem; Caputo type fractional derivative; existence and uniqueness; fixed point theorem; impulsive integro-differential equation; nonlocal conditionReferences:
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