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Fractional Derivatives with Mittag-Leffler Kernel
This book offers a timely overview of fractional calculus applications, with a special emphasis on fractional derivatives with Mittag-Leffler kernel. The different contributions, written by applied mathematicians, physicists and engineers, offers a snapshot of recent research in the field, highlighting the current methodological frameworks together with applications in different fields of science and engineering, such as chemistry, mechanics, epidemiology and more. It is intended as a timely guide and source of inspiration for graduate students and researchers in the above-mentioned areas.
Applications of Fractional Calculus to Modeling in Dynamics and Chaos
Applications of Fractional Calculus to Modeling in Dynamics and Chaos aims to present novel developments, trends, and applications of fractional-order derivatives with power law and Mittag-Leffler kernel in the areas of chemistry, mechanics, chaos, epidemiology, fluid mechanics, modeling, and engineering. Non-singular and non-local fractional-order derivatives have been applied in different chapters to describe complex problems. The book offers theory and practical applications for the solutions of real-life problems and will be of interest to graduate-level students, educators, researchers, and scientists interested in mathematical modeling and its diverse applications. Features Discusses real-world problems, theory, and applications Covers new developments and advances in the various areas of nonlinear dynamics, signal processing, and chaos Suitable to teach master’s and/or PhD-level graduate students, and can be used by researchers, from any field of the social, health, and physical sciences
Fractional Calculus in Medical and Health Science
This book covers applications of fractional calculus used for medical and health science. It offers a collection of research articles built into chapters on classical and modern dynamical systems formulated by fractional differential equations describing human diseases and how to control them. The mathematical results included in the book will be helpful to mathematicians and doctors by enabling them to explain real-life problems accurately. The book will also offer case studies of real-life situations with an emphasis on describing the mathematical results and showing how to apply the results to medical and health science, and at the same time highlighting modeling strategies. The book will be useful to graduate level students, educators and researchers interested in mathematics and medical science.
Methods of Mathematical Modelling
This book features original research articles on the topic of mathematical modelling and fractional differential equations. The contributions, written by leading researchers in the field, consist of chapters on classical and modern dynamical systems modelled by fractional differential equations in physics, engineering, signal processing, fluid mechanics, and bioengineering, manufacturing, systems engineering, and project management. The book offers theory and practical applications for the solutions of real-life problems and will be of interest to graduate level students, educators, researchers, and scientists interested in mathematical modelling and its diverse applications. Features Presents several recent developments in the theory and applications of fractional calculus Includes chapters on different analytical and numerical methods dedicated to several mathematical equations Develops methods for the mathematical models which are governed by fractional differential equations Provides methods for models in physics, engineering, signal processing, fluid mechanics, and bioengineering Discusses real-world problems, theory, and applications
Special Functions and Analysis of Differential Equations
Differential Equations are very important tools in Mathematical Analysis. They are widely found in mathematics itself and in its applications to statistics, computing, electrical circuit analysis, dynamical systems, economics, biology, and so on. Recently there has been an increasing interest in and widely-extended use of differential equations and systems of fractional order (that is, of arbitrary order) as better models of phenomena in various physics, engineering, automatization, biology and biomedicine, chemistry, earth science, economics, nature, and so on. Now, new unified presentation and extensive development of special functions associated with fractional calculus are necessary tool...
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1% Better Every Day
Ricky Lundell, in his first in a series of manual/guides, reveals the technical mastery of squats, uncovering the mind-body-spirit partnership, as well as keys to life success through his 1% Better Every Day philosophy. While pursuing a throw down the gauntlet objective of squatting a phenomenal 500 pounds in 500 days, this insight was internalized. At the time, Ricky was squatting 275 pounds/125 kilos, weighing 155 pounds/70 kilos.Accomplishing so many physical feats in his life (Black Belt Gi Gracie Jiu-Jitsu World Champion, 2006; FILA World Champion Grappler and Captain of Team U.S.A., 2007; FILA Grappling Gold Medalist and Pankration World Champion, 2008; FILA World Grappling Champion and Absolute Division Pankration World Grappling Champion, 2010) this new challenge measured up to be a world-class achievement.In his series, while you follow his fantastic training methods, ponder with him his 1% Better Every Day philosophy. Whether you are a 14-year old trying to make the JV Basketball team or a 57-year old, dealing with chronic pain, you will reach your own personal peaks by committing to his personally tested and proven winning work-out plan.
