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Electromagnetic Fields and Waves in Fractional Dimensional Space

2012-01-03 Technology & Engineering
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Release : 2012-01-03
Genre : Technology & Engineering
Kind : eBook
Book Rating : 58X/5 ( reviews)

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Book Synopsis Electromagnetic Fields and Waves in Fractional Dimensional Space by : Muhammad Zubair

Download or read book Electromagnetic Fields and Waves in Fractional Dimensional Space written by Muhammad Zubair. This book was released on 2012-01-03. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the concept of fractional dimensional space applied to the use of electromagnetic fields and waves. It provides demonstrates the advantages in studying the behavior of electromagnetic fields and waves in fractal media. The book presents novel fractional space generalization of the differential electromagnetic equations is provided as well as a new form of vector differential operators is formulated in fractional space. Using these modified vector differential operators, the classical Maxwell's electromagnetic equations are worked out. The Laplace's, Poisson's and Helmholtz's equations in fractional space are derived by using modified vector differential operators.

Electromagnetic Fields and Waves in Fractional Dimensional Space

2012-01-05 Technology & Engineering
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Release : 2012-01-05
Genre : Technology & Engineering
Kind : eBook
Book Rating : 571/5 ( reviews)

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Book Synopsis Electromagnetic Fields and Waves in Fractional Dimensional Space by : Muhammad Zubair

Download or read book Electromagnetic Fields and Waves in Fractional Dimensional Space written by Muhammad Zubair. This book was released on 2012-01-05. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the concept of fractional dimensional space applied to the use of electromagnetic fields and waves. It provides demonstrates the advantages in studying the behavior of electromagnetic fields and waves in fractal media. The book presents novel fractional space generalization of the differential electromagnetic equations is provided as well as a new form of vector differential operators is formulated in fractional space. Using these modified vector differential operators, the classical Maxwell's electromagnetic equations are worked out. The Laplace's, Poisson's and Helmholtz's equations in fractional space are derived by using modified vector differential operators.

Fractional-Order Electrical Circuit Theory

2021-08-16 Technology & Engineering
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Release : 2021-08-16
Genre : Technology & Engineering
Kind : eBook
Book Rating : 22X/5 ( reviews)

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Book Synopsis Fractional-Order Electrical Circuit Theory by : Bo Zhang

Download or read book Fractional-Order Electrical Circuit Theory written by Bo Zhang. This book was released on 2021-08-16. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a concise and insightful view of the knowledge on fractional-order electrical circuits, which belongs to the subject of Electric Engineering and involves mathematics of fractional calculus. It offers an overview of fractional calculus and then describes and analyzes the basic theories and properties of fractional-order elements and fractional-order electrical circuit composed of fractional-order elements. Therein, the fundamental theorems, time-domain analysis, steady-state analysis, complex frequency domain analysis and state variable analysis of fractional-order electrical circuit are included. The fractional-order two-port networks and generalized fractional-order linear electrical circuits are also mentioned. Therefore, this book provides readers with enough background and understanding to go deeper into the topic of fractional-order electrical circuit, so that it is useful as a textbook for courses related to fractional-order elements, fractional-order electrical circuits, etc. This book is intended for students without an extensive mathematical background and is suitable for advanced undergraduate and graduate students, engineers and researchers who focus on the fractional-order elements, electrical circuits and systems.

Mechanics of Biological Systems and Materials, Volume 7

2014-07-28 Technology & Engineering
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Release : 2014-07-28
Genre : Technology & Engineering
Kind : eBook
Book Rating : 748/5 ( reviews)

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Book Synopsis Mechanics of Biological Systems and Materials, Volume 7 by : Francois Barthelat

Download or read book Mechanics of Biological Systems and Materials, Volume 7 written by Francois Barthelat. This book was released on 2014-07-28. Available in PDF, EPUB and Kindle. Book excerpt: Mechanics of Biological Systems and Materials, Volume 7: Proceedings of the 2014 Annual Conference on Experimental and Applied Mechanics, the seventh volume of eight from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on a wide range of areas, including: Soft Tissues Mechanics Natural Materials & Bio-Inspiration Tissue Engineering Cells Mechanics

Frontiers of Fractal Analysis

2022-07-07 Mathematics
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Release : 2022-07-07
Genre : Mathematics
Kind : eBook
Book Rating : 877/5 ( reviews)

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Book Synopsis Frontiers of Fractal Analysis by : Santo Banerjee

Download or read book Frontiers of Fractal Analysis written by Santo Banerjee. This book was released on 2022-07-07. Available in PDF, EPUB and Kindle. Book excerpt: The history of describing natural objects using geometry is as old as the advent of science itself, in which traditional shapes are the basis of our intuitive understanding of geometry. However, nature is not restricted to such Euclidean objects which are only characterized typically by integer dimensions. Hence, the conventional geometric approach cannot meet the requirements of solving or analysing nonlinear problems which are related with natural phenomena, therefore, the fractal theory has been born, which aims to understand complexity and provide an innovative way to recognize irregularity and complex systems. Although the concepts of fractal geometry have found wide applications in many forefront areas of science, engineering and societal issues, they also have interesting implications of a more practical nature for the older classical areas of science. Since its discovery, there has been a surge of research activities in using this powerful concept in almost every branch of scientific disciplines to gain deep insights into many unresolved problems. This book includes eight chapters which focus on gathering cutting-edge research and proposing application of fractals features in both traditional scientific disciplines and in applied fields.

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