Parallel Fixed-Point Digital Differential Analyser with Antialiasing. PFDDAA

$L^p$-existence of mild solutions of fractional differential equations in Banach space

We study the existence of mild solutions for semilinear fractional differential equations with nonlocal initial conditions in $L^p([0,1],E)$, where $E$ is a separable Banach space. The main ingredients used in the proof of our results are measure of noncompactness, Darbo and Schauder fixed point theorems. Finally, an application is proved to illustrate the results of this work. 

Periodicity in a System of Differential Equations with Finite Delay

The existence and uniqueness of a periodic solution of the system of differential equations d dt x(t) = A(t)x(t − ) are proved. In particular the Krasnoselskii’s fixed point theorem and the contraction mapping principle are used in the analysis. In addition, the notion of fundamental matrix solution coupled with Floquet theory is also employed.  

Antialiasing in Raycasting Digital Terrain Models

We may use ray-casting methods to render terrain from digital terrain models. In this paper we enhance a terrain renderer in several ways, including application of antialiasing techniques. Also we examine various aspects of antialiasing in terrain rendering. We summarize surface and color reconstruction models, and discuss several vertical antialiasing techniques, including supersampling and ar...

Existence and continuous dependence for fractional neutral functional differential equations

In this paper, we investigate the existence, uniqueness and continuous dependence of solutions of fractional neutral functional differential equations with infinite delay and the Caputo fractional derivative order, by means of the Banach's contraction principle and the Schauder's fixed point theorem.

Approximation the fuzzy solution of the non linear fuzzy Volterra integro differential equation using fixed point theorems