Profile of blowing-up solutions to a nonlinear system of fractional differential equations

Mokhtar Kirane (1) , Salman Amin Malik (1)

1 MIA - Mathématiques, Image et Applications - EA 3165

We investigate the profile of the blowing up solutions to a nonlinear nonlocal system (FDS), which involves integer as well as fractional order derivatives. Our method of proof relies on comparisons of the solution to the (FDS) with solutions of the subsystems obtained from (FDS) by dropping either the usual derivatives or the fractional derivatives.

Mots clés: Laplace transform; Nonlinear system; Fractional derivative; Integral equations; Blow up time; Laplace transform.

Domaines: Analyse classique [math.CA]

Mokhtar Kirane, Salman Amin Malik. Profile of blowing-up solutions to a nonlinear system of fractional differential equations. 2010. ⟨hal-00467202⟩