具有相容导数的非线性Volterra方程

Q2 Mathematics Advances in the Theory of Nonlinear Analysis and its Applications Pub Date : 2023-04-25 DOI:10.31197/atnaa.1287765

Nguyen Hoang TUAN, Nguyen Minh HAİ, Nguyen Duc PHUONG

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引用次数: 0

摘要

在本文中，我们感兴趣的是研究一类具有相容导数的非线性Volterra方程- 有效。这类方程有各种各样的应用，例如物理，力学工程，热传导理论。首先，我们表明我们的问题有一个温和的解决方案它在时间上局部存在。然后证明了当参数趋于零。

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On the nonlinear Volterra equation with conformable derivative

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.

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