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

共 50 条

[31] On a wave equation with singular dissipation
Sebih, Mohammed Elamine
Wirth, Jens
MATHEMATISCHE NACHRICHTEN, 2022, 295 (08) : 1591 - 1616
[32] On a singular time-fractional order wave equation with Bessel operator and Caputo derivative
Mesloub, Said
Bachar, Imed
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (01): : 60 - 70
[33] Solving the Fractional Schrodinger Equation with Singular Initial Datain the Extended Colombeau Algebra of Generalized Functions
El Mfadel, Ali
Melliani, Said
Taqbibt, Abdellah
Elomari, M'hamed
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 2023
[34] INITIAL BOUNDARY VALUE PROBLEM FOR A TIME FRACTIONAL WAVE EQUATION ON A METRIC GRAPH
Sobirov, Z. A.
Abdullaev, O. K. H. .
Khujakulov, J. R.
DIFFERENTIAL EQUATIONS & APPLICATIONS, 2023, 15 (01): : 13 - 27
[35] THE SEMILINEAR WAVE-EQUATION WITH DATA STRONGLY SINGULAR AT ONE POINT
WANG, YG
BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA, 1993, 7A (01): : 27 - 35
[36] On the rate of convergence to the normal law for solutions of the burgers equation with singular initial data
Leonenko, NN
Orsingher, E
Parkhomenko, VN
JOURNAL OF STATISTICAL PHYSICS, 1996, 82 (3-4) : 915 - 930
[37] THE GENERALIZED BENJAMIN-BONA-MAHONY EQUATION IN RN WITH SINGULAR INITIAL DATA
AVRIN, J
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1987, 11 (01) : 139 - 147
[38] GLOBAL SOLUTIONS OF THE EXPONENTIAL WAVE EQUATION WITH SMALL INITIAL DATA
Huh, Hyungjin
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 50 (03) : 811 - 821
[39] On the critical nonlinear damped wave equation with large initial data
Hayashi, Nakao
Kaikina, Elena I.
Naumkin, Pavel I.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (02) : 1400 - 1425
[40] RECOVERING THE INITIAL DATA OF THE WAVE EQUATION FROM NEUMANN TRACES
Dreier, Florian
Haltmeier, Markus
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2021, 53 (02) : 2427 - 2451

← 1 2 3 4 5 →