ON A FRACTIONAL WAVE EQUATION WITH SINGULAR INITIAL DATA

被引：0

作者：

Benmerrous, A. ^{[1
]}

Chadli, L. S. ^{[1
]}

Moujahid, A. ^{[2
]}

Elomari, M. ^{[1
]}

机构：

[1] Sultan Moulay Slimane Univ, Lab Appl Math & Sci Comp, POB 532, Beni Mellal 23000, Morocco

[2] Dept Math & Comp Sci, Fac Sci, POB 2121, Tetouan, Morocco

来源：

TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2025年 / 15卷 / 01期

关键词：

Fractional wave equation; Colombeau algebra; Conformable cosine family; Generalized function;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper focuses on the time fractional wave equation with the use of conformable derivative D-(alpha) for 1 < alpha < 2 which we will prove to be inside Colombeau algebra, the initial data are singular distibution. Nets of conformable cosine family (C-epsilon(alpha))(epsilon) with polynomial development in epsilon as epsilon -> 0 are defined for the first time and used for solving this irregular fractional problems.

引用

页码：63 / 78

页数：16

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