On the nonlinear Volterra equation with conformable derivative
Keywords:
conformable differential equation, memory term, local existence, Banach fixed point theoremAbstract
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.
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