On the nonlinear Volterra equation with conformable derivative

Year 2023, Volume: 7 Issue: 2, 292 - 302, 23.07.2023

Tuan Nguyen Hoang Hai Nguyen Minh Nguyen Duc Phuong

https://doi.org/10.31197/atnaa.1281575

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

Project Number

This research is funded by Vietnam National University HoChiMinh City (VNU-HCM) under grant number C2022-44-12.

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