Inverse problem of fractional calculus of variations for partial differential equations

Jacky Cresson (1)

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

The current paper aims at finding out a Lagrangian structure for some partial differential equations including the Stokes equations, the fractional wave equation, the diffusion or fractional diffusion equations, using the fractional embedding theory of continuous Lagrangian systems. © 2009 Elsevier B.V. All rights reserved.

Domaines: Equations aux dérivées partielles [math.AP]

Jacky Cresson. Inverse problem of fractional calculus of variations for partial differential equations. Communications in Nonlinear Science and Numerical Simulation, 2010, 15 (4), pp.987-996. ⟨10.1016/j.cnsns.2009.05.036⟩. ⟨hal-00865006⟩