On the nonlinear Volterra equation with conformable derivative
- 25 April 2023
- journal article
- Published by Erdal Karapinar in Advances in the Theory of Nonlinear Analysis and its Application
- p. 292-302
- https://doi.org/10.31197/atnaa.1287765
Abstract
In this paper, we are interested to study a nonlinear Volterra equation with conformable deriva- tive. 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.