Compare Prices | Create Shopping Lists with Price Drop Alerts | Set Coupons, Promo Codes & Sales Alerts | Get Access to Exclusive Deals and Much More... All in One Place | Read all about it here

Functional Fractional Calculus

Functional Fractional Calculus

Brand
Springer Nature
Manufacturer
N/A
Part Number
0
GTIN
9783642205446
Condition
New
Product Description

When a new extraordinary and outstanding theory is stated, it has to face criticism and skeptism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its application to real life problems. It is extraordinary because it does not deal with ordinary differential calculus. It is outstanding because it can now be applied to situations where existing theories fail to give satisfactory results. In this book not only mathematical abstractions are discussed in a lucid manner, with physical mathematical and geometrical explanations, but also several practical applications are given particularly for system identification, description and then efficient controls. The normal physical laws like, transport theory, electrodynamics, equation of motions, elasticity, viscosity, and several others of are based on ordinary calculus. In this book these physical laws are generalized in fractional calculus contexts; taking, heterogeneity effect in transport background, the space having traps or islands, irregular distribution of charges, non-ideal spring with mass connected to a pointless-mass ball, material behaving with viscous as well as elastic properties, system relaxation with and without memory, physics of random delay in computer network; and several others; mapping the reality of nature closely. The concept of fractional and complex order differentiation and integration are elaborated mathematically, physically and geometrically with examples. The practical utility of local fractional differentiation for enhancing the character of singularity at phase transition or characterizing the irregularity measure of response function is deliberated. Practical results of viscoelastic experiments, fractional order controls experiments,design of fractional controller and practical circuit synthesis for fractional order elements are elaborated in this book. The book also maps theory of classical integer order differential equations to fractional calculus contexts, and deals in details with conflicting and demanding initialization issues, required in classical techniques. The book presents a modern approach to solve the solvable system of fractional and other differential equations, linear, non-linear; without perturbation or transformations, but by applying physical principle of action-and-opposite-reaction, giving approximately exact series solutions. Historically, Sir Isaac Newton and Gottfried Wihelm Leibniz independently discovered calculus in the middle of the 17th century. In recognition to this remarkable discovery, J.von Neumann remarked, the calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more equivocally than anything else the inception of modern mathematical analysis which is logical development, still constitute the greatest technical advance in exact thinking. This XXI century has thus started to think-exactly for advancement in science & technology by growing application of fractional calculus, and this century has started speaking the language which nature understands the best.

Available Colors
Available Sizes
1 Offer Price Range: $169.00 - $169.00
BEST PRICE

Single Product Purchase

$169.00
@ Link.springer.com     BUY Now

Price Comparison

Seller Contact Seller List Price On Sale Shipping Best Promo Final Price Volume Discount Financing Availability Seller's Page
BEST PRICE
1 Product Purchase
@ Link.springer.com
Contact Store Call Store Contact Support
$169.00 $169.00

$169.00
See Site In stock Visit Store

Similar Products

Advances in Mathematical Modelling, Applied Analysis and Computation

$229.00

Mental Maps in the Early Cold War Era, 1945-68

$39.99

Towards a European Islam

$169.99

Methods in Neuroethological Research

$169.99

Die Refluxkrankheit

$59.99

Combinatorial Image Analysis

$109.99

Felix Hausdorff - Gesammelte Werke Band IX

$129.99

Handbuch zur Geschichte der Konfliktlsung in Europa

$379.99

Critical Information Infrastructures Security

$49.99

Computer Algebra in Scientific Computing

$139.99

Classical Circuit Theory

$169.99

Robot Intelligence Technology and Applications 3

$219.99

Production and Operations Management

$219.99

Sustainable Horticultural Systems

$249.99

Biojet Fuel: Current Technology and Future Prospect

$179.99

William Blake's Manuscripts

$139.99

Brandschutztechnische Anlagen betreiben und instandhalten

$59.99

Complications of Laparoscopic and Robotic Urologic Surgery

$89.00

An Inter-Industry Translog Model of Prices and Technical Change for the West German Economy

$54.99

The Environment of Man

$39.99

The Evolution of the Property Relation

$109.99

Gender and the First World War

$39.99

New Trends in Model and Data Engineering

$54.99

Endoscopic Gastric Surgery

$39.99

Vom individuellen zum organisationalen Lernen

$99.00

Biotechnologie fr Ingenieure

$84.99

Sports Cardiology

$169.99

Astronomie

$54.99

Complex Analysis

$54.99

Optimization Techniques II

$39.99

Governance, Social Organisation and Reform in Rural China

$54.99

Strategische Spiele

$34.99

Politische Partizipation in der Bundesrepublik

$59.99

Inequality, Marketization and the Majority Class

$67.50

Practical Quantum Computing for Developers

$44.99

Conflict and Concord

$119.99

The Palgrave Handbook of Arctic Policy and Politics

$199.99

Narratives of Motherhood and Mothering in Fiction and Life Writing

$49.99

Second Language Teacher Professional Development

$159.99

Assessing Water Rights in China

$69.99