ASYMPTOTIC INTEGRATION OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH INTEGRODIFFERENTIAL RIGHT-HAND SIDE

On the averaging of differential inclusions with Fuzzy right hand side with the average of the right hand side is absent

In this article we consider the averaging method for differential inclusions with fuzzy right-hand side for the case when the limit of a method of an average does not exist. 

Asymptotic properties of fractional delay differential equations

In this paper we study the asymptotic properties of d-dimensional linear fractional differential equations with time delay. First results on existence and uniqueness of solutions are presented. Then we propose necessary and sufficient conditions for asymptotic stability of equations of this type using the inverse Laplace transform method.

Fractional differential equations with Legendre polynomials

Parameter dependence for a class of ordinary differential equations with measurable right hand side

The paper studies differential equations of the form u′(x) = f(x, u(x), λ(x)), u(x0) = u0, where the right hand side is merely measurable in x. In particular sufficient conditions for the continuous and the differentiable dependence of solution u on the data and on the parameter λ are stated.

Implicit integral equations with discontinuous right-hand side

We consider the integral equation h(u(t)) = f R I g(t, x)u(x) dx , with t ∈ [0, 1], and prove an existence theorem for bounded solutions where f is not assumed to be continuous.