We develop and extend earlier results related to mathematical modelling of the liver formation zone by the adoption of noninteger order derivative. The hidden uncertainties in the model are captured and controlled thanks to the Caputo derivative. The stationary states are investigated and the time-dependent solution is approximated using two recent iteration methods. In particular, we discuss t...

Positions and derivatives are two essential notions in the conversion methods from regular expressions to equivalent finite automata. Partial derivative based methods have recently been extended to regular expressions with intersection. In this paper, we present a position automaton construction for those expressions. This construction generalizes the notion of position making it compatible wit...

This study focuses on the solution of rotationally symmetric Rossler attractor by using adaptive predictor–corrector algorithm (Apc-ABM-method) and fractional Laplace decomposition method (ρ-Laplace DM). Furthermore, a comparison between proposed methods Runge–Kutta Fourth Order (RK4) is made. It discovered that are effective yield solutions identical to approximate produced other methods. Ther...

Stochastic differential equations (SDEs) have been applied by engineers and economists because it can express the behavior of stochastic processes in compact expressions. In this paper, by using Grunwald-Letnikov fractional derivative, the stochastic differential model is improved. Two numerical examples are presented to show efficiency of the proposed model. A numerical optimization approach b...

PURPOSE This study was designed to develop and validate two simple, rapid, and economical UV-spectrophotometric and the first-order derivative methods using the area under curve method for estimation of diacerein in bulk and in capsule formulation. MATERIALS AND METHODS In this study, hydrotrophic solution of 8 M urea and 0.5 M potassium citrate were employed as the solubilizing agent to solu...

In this paper we describe two natural ways to express the first derivative of a rational B-spline curve in terms of its control points and weights. These expressions generalise the established ones for non-rational curves and offer numerically stable methods for computing the derivative. Some useful properties are derived from one of them. §