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On initial value problem of random fractional differential equation with impulses

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In this paper, we prove the existence and uniqueness of solution for random fractional  differential equation with impulses via Banach fixed point theorem and Schauder fixed point theorem. Moreover, the… Click to show full abstract

In this paper, we prove the existence and uniqueness of solution for random fractional  differential equation with impulses via Banach fixed point theorem and Schauder fixed point theorem. Moreover, the continuous dependence of the solution on the initial data is investigated.

Keywords: random fractional; fractional differential; differential equation; initial value; equation impulses

Journal Title: Hacettepe Journal of Mathematics and Statistics
Year Published: 2019

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