Fractional Differential Equations

http://ieeexplore.ieee.org/iel5/5610941/5624686/05624745.pdf

Power electronics

Series Preface * Preface to the Third Edition * 1 Linear Systems * 2 Nonlinear Systems: Local Theory * 3 Nonlinear Systems: Global Theory * 4 Nonlinear Systems: Bifurcation Theory * References * Index

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Differential Equations and Dynamical Systems

Diffusion and ecological problems : mathematical models

In what case do you like reading so much? What about the type of the complex population dynamics a theoretical empirical synthesis book? The needs to read? Well, everybody has their own reason why should read some books. Mostly, it will relate to their necessity to get knowledge from the book and want to read just to get entertainment. Novels, story book, and other entertaining books become so popular this day. Besides, the scientific books will also be the best reason to choose, especially for the students, teachers, doctors, businessman, and other professions who are fond of reading.

Complex Population Dynamics: A Theoretical/Empirical Synthesis

Numerical solution of Burgers' equation with modified cubic B-spline differential quadrature method

In this paper, we investigate the properties of generalized bent functions defined on \({\mathbb{Z}_2^n}\) with values in \({\mathbb{Z}_q}\) , where q ≥ 2 is any positive integer. We characterize the class of generalized bent functions symmetric with respect to two variables, provide analogues of Maiorana–McFarland type bent functions and Dillon’s functions in the generalized set up. A class of bent functions called generalized spreads is introduced and we show that it contains all Dillon type generalized bent functions and Maiorana–McFarland type generalized bent functions. Thus, unification of two different types of generalized bent functions is achieved. The crosscorrelation spectrum of generalized Dillon type bent functions is also characterized. We further characterize generalized bent Boolean functions defined on \({\mathbb{Z}_2^n}\) with values in \({\mathbb{Z}_4}\) and \({\mathbb{Z}_8}\). Moreover, we propose several constructions of such generalized bent functions for both n even and n odd.

Bent and generalized bent Boolean functions

In this article, a mathematical model has been developed for the generalized time fractional–order biological population model (GTFBPM). The fractional derivative has been described in the Caputo sense. The model has been solved by a recent approximate analytic method so called the fractional reduced differential transform method (FRDTM). Using this method, it is possible to find the exact solution as well as closed approximate solution of a differential equation. Three numerical examples of GTFBPM have been provided in order to check the effectiveness, accuracy and convergence of the method. The special advantage of using this computational technique is that it is very easy to implement and takes small size of computation contrary to other numerical methods while dealing complex and tedious physical problems arising in various branches of natural sciences and engineering.

Brajesh Kumar Singh

Papers

Numerical solution of Burgers' equation with modified cubic B-spline differential quadrature method

Bent and generalized bent Boolean functions

Two-dimensional time fractional-order biological population model and its analytical solution

FRDTM for numerical simulation of multi-dimensional, time-fractional model of Navier–Stokes equation

A numerical scheme for the generalized Burgers–Huxley equation