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Keywords:
implicit fractional-order differential equation; Caputo fractional derivative, integrable solution; existence fixed point; infinite delay
implicit fractional-order differential equation; Caputo fractional derivative, integrable solution; existence fixed point; infinite delay
Summary:
In this paper we study the existence of integrable solutions for initial value problem for implicit fractional order functional differential equations with infinite delay. Our results are based on Schauder type fixed point theorem and the Banach contraction principle fixed point theorem.
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