Fractional Diffusion–Wave Equation with Application in Electrodynamics
Copyright policy )Fractional Diffusion–Wave Equation with Application in Electrodynamics
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.
- Institute of Applied Mathematics Russian Federation
Kirchhoff formula, problem without initial conditions, fundamental solution, Gerasimov–Caputo fractional derivative, fractional derivative on infinite interval, QA1-939, diffusion–wave equation, retarded potential, asympotic boundary value problem, Mathematics
Kirchhoff formula, problem without initial conditions, fundamental solution, Gerasimov–Caputo fractional derivative, fractional derivative on infinite interval, QA1-939, diffusion–wave equation, retarded potential, asympotic boundary value problem, Mathematics
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