Author : Dumitru Bǎleanu
Publisher : Walter de Gruyter GmbH & Co KG
Page : 352 pages
File Size : 44,85 MB
Release : 2019-04-01
Category : Mathematics
ISBN : 3110570963
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This seventh volume collects authoritative chapters covering several applications of fractional calculus in in engineering, life, and social sciences, including applications in biology and medicine, mechanics of complex media, economy, and electrical devices.
Author : Dumitru Bǎleanu
Publisher : Walter de Gruyter GmbH & Co KG
Page : 292 pages
File Size : 45,99 MB
Release : 2019-04-01
Category : Mathematics
ISBN : 3110571927
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This eighth volume collects authoritative chapters covering several applications of fractional calculus in engineering, life and social sciences, including applications in signal and image analysis, and chaos.
Author : Vasily E. Tarasov
Publisher : Walter de Gruyter GmbH & Co KG
Page : 314 pages
File Size : 49,96 MB
Release : 2019-02-19
Category : Mathematics
ISBN : 3110571706
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This fourth volume collects authoritative chapters covering several applications of fractional calculus in physics, including classical and continuum mechanics.
Author : Vasily E. Tarasov
Publisher : MDPI
Page : 278 pages
File Size : 28,95 MB
Release : 2020-06-03
Category : Business & Economics
ISBN : 303936118X
This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.
Author : Yuri Luchko
Publisher : MDPI
Page : 280 pages
File Size : 11,25 MB
Release : 2021-03-16
Category : Mathematics
ISBN : 303650494X
This Special Issue is devoted to some serious problems that the Fractional Calculus (FC) is currently confronted with and aims at providing some answers to the questions like “What are the fractional integrals and derivatives?”, “What are their decisive mathematical properties?”, “What fractional operators make sense in applications and why?’’, etc. In particular, the “new fractional derivatives and integrals” and the models with these fractional order operators are critically addressed. The Special Issue contains both the surveys and the research contributions. A part of the articles deals with foundations of FC that are considered from the viewpoints of the pure and applied mathematics, and the system theory. Another part of the Special issue addresses the applications of the FC operators and the fractional differential equations. Several articles devoted to the numerical treatment of the FC operators and the fractional differential equations complete the Special Issue.
Author : Anatoly Kochubei
Publisher : Walter de Gruyter GmbH & Co KG
Page : 490 pages
File Size : 40,7 MB
Release : 2019-02-19
Category : Mathematics
ISBN : 3110571625
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This first volume collects authoritative chapters covering the mathematical theory of fractional calculus, including fractional-order operators, integral transforms and equations, special functions, calculus of variations, and probabilistic and other aspects.
Author : George Em Karniadakis
Publisher : Walter de Gruyter GmbH & Co KG
Page : 360 pages
File Size : 13,68 MB
Release : 2019-04-15
Category : Mathematics
ISBN : 3110571684
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This third volume collects authoritative chapters covering several numerical aspects of fractional calculus, including time and space fractional derivatives, finite differences and finite elements, and spectral, meshless, and particle methods.
Author : Pradip Debnath
Publisher : Springer Nature
Page : 358 pages
File Size : 11,16 MB
Release : 2022-05-10
Category : Mathematics
ISBN : 9811906688
This book collects chapters on fixed-point theory and fractional calculus and their applications in science and engineering. It discusses state-of-the-art developments in these two areas through original new contributions from scientists across the world. It contains several useful tools and techniques to develop their skills and expertise in fixed-point theory and fractional calculus. New research directions are also indicated in chapters. This book is meant for graduate students and researchers willing to expand their knowledge in these areas. The minimum prerequisite for readers is the graduate-level knowledge of analysis, topology and functional analysis.
Author : Anatoly Kochubei
Publisher : Walter de Gruyter GmbH & Co KG
Page : 528 pages
File Size : 37,75 MB
Release : 2019-02-19
Category : Mathematics
ISBN : 3110571668
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This second volume collects authoritative chapters covering the mathematical theory of fractional calculus, including ordinary and partial differential equations of fractional order, inverse problems, and evolution equations.
Author : Yuriy Povstenko
Publisher : Springer Nature
Page : 457 pages
File Size : 28,92 MB
Release :
Category :
ISBN : 3031645871
