Tuan NGUYEN HOANG, Hai NGUYEN MİNH, Nguyen Duc PHUONG

On the nonlinear Volterra equation with conformable derivative

In this paper, we are interested to study a nonlinear Volterra equation with conformable derivative. This kind of such equation has various applications, for example physics, mechanical engineering, heat conduction theory. First, we show that our problem have a mild soltution which exists locally in time. Then we prove that the convergence of the mild solution when the parameter tends to zero.

Keywords:

conformable differential equation memory term, local existence, Banach fixed point theorem,

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