A Non-Local wave equation with General fractional derivatives and time delay

被引：1

作者：

Atanackovic, Teodor M. ^{[1
]}

机构：

[1] Univ Novi Sad, Novi Sad 21000, Serbia

来源：

IFAC PAPERSONLINE | 2024年 / 58卷 / 12期

关键词：

Non-local elasticity; Fractional derivative; time delay; Wave equation;

D O I：

10.1016/j.ifacol.2024.08.217

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We analyze, spatially one dimensional, non-local elastic body with deformation measure given in the form of General fractional derivative of Riesz type with truncated power-law kernel. It is assumed that stress at the point x and time t depends on the strain at point xi at time t - vertical bar x - xi vertical bar/c, where c is a constant having dimension of time. We formulate spatially one dimensional wave equation for such a body and show the influence of the parameter c on the solution. Copyright (C) 2024 The Authors. This is an open access article under the CC BY-NC-ND license (https://creativecommons.org/licenses/by-nc-nd/4.0/)

引用

页码：364 / 367

页数：4

共 22 条

[1] Impulsively fractional-order time-delayed gene regulatory networks: Existence and asymptotic stability [J].