Fractional Diffusion-Wave Equation with Application in Electrodynamics

被引：14

作者：

Pskhu, Arsen ^{[1
]}

Rekhviashvili, Sergo ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Appl Math & Automat, Kabardino Balkarian Sci Ctr, 89-A Shortanov St, Nalchik 360000, Russia

来源：

MATHEMATICS | 2020年 / 8卷 / 11期

关键词：

diffusion– wave equation; fundamental solution; fractional derivative on infinite interval; asympotic boundary value problem; problem without initial conditions; Gerasimov– Caputo fractional derivative; Kirchhoff formula; retarded potential; BOUNDARY-VALUE-PROBLEMS; CAUCHY-PROBLEM; POTENTIALS;

D O I：

10.3390/math8112086

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a diffusion-wave equation with fractional derivative with respect to the time variable, defined on infinite interval, and with the starting point at minus infinity. For this equation, we solve an asympotic boundary value problem without initial conditions, construct a representation of its solution, find out sufficient conditions providing solvability and solution uniqueness, and give some applications in fractional electrodynamics.

引用

页码：1 / 13

页数：13

共 48 条

[1] Solution for a fractional diffusion-wave equation defined in a bounded domain [J].