Journal
MATHEMATICS
Volume 8, Issue 11, Pages -Publisher
MDPI
DOI: 10.3390/math8112086
Keywords
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
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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.
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