Existence of solutions for a fractional derivative system of equations.

Arnaud Heibig (1)

1 ICJ - Institut Camille Jordan

We study a fractional derivative system of equations. A Newton polygonal associated with this system is partially described. Under some additional assumptions, this Newton polygonal is fully described and L² estimates are given, as well as an existence result. We finally discuss our assumptions.

Mots clés: Solution existence; smoothness; fractional derivative systems of equations; Newton polygonal.; Newton polygonal

Domaines: Equations aux dérivées partielles [math.AP]

Arnaud Heibig. Existence of solutions for a fractional derivative system of equations.. Integral Equations and Operator Theory, 2012, 72 (4), pp.483. ⟨10.1007/s00020-012-1950-3⟩. ⟨hal-00869160⟩