Hamiltonian Formulation of Classical Fields with Fractional Derivatives

2011/07/08 by A. A. Diab, R. S. Hijjawi, Diab, A. A. +5
Engineering · Mathematics · #FOS: Physical sciences #Fractional Differential Equations Solutions #General Physics (physics.gen-ph) #Numerical methods for differential equations #Thermoelastic and Magnetoelastic Phenomena

paper · pdf · doi:10.48550/arxiv.1107.1551

openalex publication_date 2011/07/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An investigation of classical fields with fractional derivatives is presented using the fractional Hamiltonian formulation. The fractional Hamilton's equations are obtained for two classical field examples. The formulation presented and the resulting equations are very similar to those appearing in classical field theory.

Citations

• The random walk's guide to anomalous diffusion: a fractional dynamics approach
• Fractional Differential Equations

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