On the nonlinear Volterra equation with conformable derivative-Reference-Cited by-同舟云学术

On the nonlinear Volterra equation with conformable derivative

Published:2023-04-25 Issue: Volume: Page:292-302
ISSN:2587-2648
Container-title:Advances in the Theory of Nonlinear Analysis and its Application
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Author:

TUAN Nguyen Hoang¹,HAİ Nguyen Minh²,PHUONG Nguyen Duc³

Affiliation:

1. School of Medicine, Vietnam National University, Ho Chi Minh City, Vietnam

2. Department of Mathematical Economics, Banking University of Ho Chi Minh City, Ho Chi Minh City, Vietnam

3. Industrial University of Ho Chi Minh City, Ho Chi Minh City, Vietnam

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.

Publisher

Erdal Karapinar

Subject

Applied Mathematics,Analysis

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