Abstract
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.
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference47 articles.
1. The fractional diffusion equation
2. Fractional diffusion and wave equations
3. Diffusion of fractional order;Kochubei;Differ. Equ.,1990
4. Integrodifferential equation which interpolates the heat equation and the wave equation I, II;Fujita;Osaka J. Math.,1990
5. The fundamental solutions for the fractional diffusion-wave equation
Cited by
11 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献