Juan J. Trujillo

TL;DR: In this article, a derivative based discrete-time signal processing is presented, where both nabla (forward) and delta (backward) derivatives are studied and generalised including the fractional case.

TL;DR: In this paper, sufficient conditions for relative controllability of stochastic fractional neutral systems with bounded operator and multiple time varying delay in the control are obtained using an equivalent nonlinear integral equation to the system and Banach contraction principle.

TL;DR: By applying a general approach to decompose a Laplace transform into a Laurent like series, the algorithm allows the inversion of a broad class of Laplace transforms and obtains a power series that generalizes the Taylor and MacLaurin series.

TL;DR: In this paper, the authors studied the linear fractional Schrodinger equation on a Hilbert space, with a fractional time derivative of order (0 < α < 1, 1 < α > 0) and a self-adjoint generator A. Using the spectral theorem, they proved existence and uniqueness of strong solutions and showed that the solutions are governed by an operator solution family.

TL;DR: In this paper, an extension of the classical elastic law is presented to represent linear and non-linear behavior for computational metal forming purposes, based on a stress-strain relationship given by an integral equation, its kernel characterising the mentioned complex behaviour.