Géométrie et Analyse

Géometrie non-différentiable

Non-differentiable deformations of Rn, International Journal of Geometric Methods in Modern Physics, Vol. 3, no. 7 (2006) 1395-1415.
Scale relativity for one dimensional non differentiable manifolds, Chaos, Solitons and Fractals, Vol. 14, no. 4, 553-562, 2002
(avec F. BEN ADDA), Calcul Fractionnaire, variétés Fractales et Relativité d'échelle, Prépublication 2000/11  Math. Besançon, 93.p, 2001.

Calcul d'échelle, Calcul Fractionnaire et Application

Fractional embedding of Differential Operators and Lagrangian systems, à paraître dans Journal of Mathematical Physics, 2007
(avec F. BEN ADDA) Fractional differential equations and the schrödinger equation, Applied Mathematics and Computations, 161, no. 1, 323-345, 2005
Non differentiable variational principles, Journal of Mathematical Analysis and Applications, Vol. 307, no. 1, 48-64, 2005.
(avec F. BEN ADDA) Quantum derivatives and the schrödinger equation, Chaos, solitons and fractals, Vol. 19, no.5, 1323-1334, 2004.
Scale calculus and the Schrödinger equation, Journal of Mathematical Physics, Vol. 44, no. 12, 32.p, 2003
(avec F. BEN ADDA) About non differentiable functions, Journal of Mathematical Analysis and Applications 262, 721-737, 2001.
(avec F. BEN ADDA), Divergence d'échelle et différentiabilité, C. R. Acad. Sci. Paris, t. 330, Série I, 261-264, 2000