This paper introduce the basic general theory for Linear Sequential Fractional Differential Equations which includes a recurrence relationship, involving the Riemann-Liouville fractional operator. The presented equation ...

In this paper we deal with differential equations of the form yy ' = P(x, y) where y ' = dy/dx and P(x, y) is a polynomial in the variables x and y of degree n in the variable y. We provide an upper bound for the number ...

In this work we present the proof of a result due to Lars Hörmander which establishes a necessary condition for a linear operator with variable coefficients is globally resolvable.

In this article the numerical approximation of the stochastic transport equation is considered. We propose a new computational scheme for the effective simulation of the solutions of this equation. Results on the convergence ...

We study the asymptotic behaviour of the solutions of a class of linear neutral delay differential equations with discrete delay where the coeffi- cients of the non neutral part are periodic functions which are rational ...

Eigenfunctions associated with Riemann–Liouville and Caputo fractional differential operators are obtained by imposing a restriction on the fractional derivative parameter. Those eigenfunctions can be used to express the ...

This study uses a concept of interval differentiability, which was recently introduced, to formulate interval initial value problems involving linear interval differential equations. Differently from the approaches that ...