On the nonlinear Volterra equation with conformable derivative

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Advances in the Theory of Nonlinear Analysis and its Application
Volume: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 MİNH, Nguyen Duc PHUONG

Pages : 292-302

Doi:10.31197/atnaa.1281575

View : 121 | Download : 151

Publication Date : 2023-07-23

Article Type : Research Paper

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

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