- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 7 Issue: 2
- On the nonlinear Volterra equation with conformable derivative
On the nonlinear Volterra equation with conformable derivative
Authors : Tuan Nguyen Hoang, Hai Nguyen Minh, Nguyen Duc Phuong
Pages : 292-302
Doi:10.31197/atnaa.1281575
View : 118 | Download : 148
Publication Date : 2023-07-23
Article Type : Research Article
Abstract :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