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This article, we study sufficient conditions for the controllability of second-order impulsive neutral integro-differential evolution systems with an infinite delay in Banach spaces by using the theory of cosine families of bounded linear operators and fixed point theorem.

The adults in Tamilnadu are commonly under the risk of many diseasessuch as diabetes, hypertension, obesity, cardiac related diseases etc., due to their modern lifestyle. The relationship between lifestyle and disease risk factor using F RM is obtained in this article. The paper consists of three sections. In section 1, we recall some preliminary definitions. In section 2, we will describe and analyze the problem. In section 3, the study-based conclusion is presented.