Study of the existence, uniqueness and stability of certain fractional differential equations

PRIGNET, Remarks on existence and uniqueness of solutions of elliptic problems with right-hand side measures, Rend. SERRIN, Pathological solutions of elliptic

VELO, Scattering Theory in the Energy Space for a Class of Nonlinear Wave Equations, Commun. VELO, Smoothing Properties and Retarded Estimates for

– the reflexive separable Banach space introduced in [16] allowing to prove the existence of a weak solution for a class of fractional boundary value problems;... – the

N’Gu´ er´ ekata, Existence and uniqueness of mild solutions of some abstract semilinear differential equations in banach spaces, Semigroup Forum, 69(1) (2004),

We used the Banach contraction principle to prove the existence and uniqueness of mild solution (which we constructed based on the Laplace transform) to the semilinear

Key words: Nonlinear system, Fractional derivative, Integral equations, Blow up time, Laplace transform.. 2010 MSC: 26A33,

Abstract We study existence and stability for solutions of −Lu + g(x, u) = ω where L is a second order elliptic operator, g a Caratheodory function and ω a measure in Ω.. We present