Communications in Nonlinear Science and Numerical Simulation
About: Communications in Nonlinear Science and Numerical Simulation is an academic journal published by Elsevier BV. The journal publishes majorly in the area(s): Nonlinear system & Computer science. It has an ISSN identifier of 1007-5704. Over the lifetime, 6765 publications have been published receiving 169724 citations. The journal is also known as: Communications in nonlinear science & numerical simulation & Communications in nonlinear science and numerical simulation.
Topics: Nonlinear system, Computer science, Mathematics, Fractional calculus, Partial differential equation
Papers published on a yearly basis
TL;DR: The proposed KH algorithm, based on the simulation of the herding behavior of krill individuals, is capable of efficiently solving a wide range of benchmark optimization problems and outperforms the exciting algorithms.
TL;DR: A survey of the major documents and events in the area of fractional calculus that took place since 1974 up to the present date can be found in this article, where the authors report some of the most important documents and major events.
TL;DR: A new lemma for the Caputo fractional derivatives, when 0 α 1 , is proposed, which has proved to be useful in order to apply the fractional-order extension of Lyapunov direct method, to demonstrate the stability of many fractional order systems, which can be nonlinear and time varying.
TL;DR: This review article aims to present some short summaries written by distinguished researchers in the field of fractional calculus that will guide young researchers and help newcomers to see some of the main real-world applications and gain an understanding of this powerful mathematical tool.
TL;DR: In this article, the basic ideas and current developments of the homotopy analysis method, an analytic approach to get convergent series solutions of strongly nonlinear problems, which recently attracts interests of more and more researchers, are described.