Telegraphic Transport Processes and Their Fractional Generalization: A Review and Some Extensions
Jaume Masoliver
Abstract
We address the problem of telegraphic transport in several dimensions. We review the derivation of two and three dimensional telegrapher's equations-as well as their fractional generalizations-from microscopic random walk models for transport (normal and anomalous). We also present new results on solutions of the higher dimensional fractional equations.
Topics & Concepts
GeneralizationRandom walkStatistical physicsMathematicsContinuous-time random walkFractional calculusApplied mathematicsMathematical physicsMathematical analysisPhysicsStatisticsFractional Differential Equations SolutionsDiffusion and Search DynamicsMathematical functions and polynomials