Journal ArticleDOI
The role of fractional calculus in modeling biological phenomena: A review
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TLDR
This review provides the latest developments and trends in the application of fractional calculus in biomedicine and biology and addresses the properties in respiratory lung tissue, whose natural solutions arise from the midst of FC in the form of non-integer differ-integral solutions and non- integer parametric models.About:
This article is published in Communications in Nonlinear Science and Numerical Simulation.The article was published on 2017-10-01. It has received 423 citations till now.read more
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A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator
TL;DR: Simulation results show that the new presented model based on the fractional operator with Mittag-Leffler kernel represents various asymptomatic behaviors that tracks the real data more accurately than the other fractional- and integer-order models.
Journal ArticleDOI
Novel dynamic structures of 2019-ncov with nonlocal operator via powerful computational technique
TL;DR: The infection system of the novel coronavirus (2019-nCoV) with a nonlocal operator defined in the Caputo sense is investigated with the help of the fractional natural decomposition method (FNDM), which is based on the Adomian decomposition and natural transform methods.
Journal ArticleDOI
Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives
TL;DR: In this article, a generalized Caputo-type fractional derivative which generalizes Caputo fractional derivatives was introduced and some characteristics were derived to display the new generalized derivative features.
Journal ArticleDOI
On fractional–order discrete–time systems: Chaos, stabilization and synchronization
Amina-Aicha Khennaoui,Adel Ouannas,Samir Bendoukha,Giuseppe Grassi,René Lozi,Viet-Thanh Pham +5 more
TL;DR: The convergence of the stabilized states and the synchronization errors is established by means of the linearization method and control laws aimed at stabilizing and synchronizing a combination of these three maps.
Journal ArticleDOI
Adaptive terminal sliding mode control scheme for synchronization of fractional-order uncertain chaotic systems.
TL;DR: A terminal sliding mode controller with fractional sliding surface is employed to synchronize the states of two different fractional order chaotic systems with parameter uncertainties and external disturbances, robust when the effects of perturbations are derived into account.
References
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Book
Genetic algorithms in search, optimization, and machine learning
TL;DR: In this article, the authors present the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields, including computer programming and mathematics.
Journal ArticleDOI
Emergence of Scaling in Random Networks
TL;DR: A model based on these two ingredients reproduces the observed stationary scale-free distributions, which indicates that the development of large networks is governed by robust self-organizing phenomena that go beyond the particulars of the individual systems.
Genetic algorithms in search, optimization and machine learning
TL;DR: This book brings together the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields.
Book
The Fractal Geometry of Nature
TL;DR: This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.