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Book synopsis

An important part of mathematical modelling of objects and processes is a description of their dynamics. In this manner, we obtain a dynamical mathematical model, usually in the form of differential equations. In such equations, we are able to use a mathematical phenomenon, so-called "Fractional Calculus." The term Fractional Calculus is more than 300 years old. It is a generalization of the ordinary differentiation and integration to noninteger (arbitrary) order. The subject is as old as the calculus of differentiation and goes back to times when Leibniz, Gauss, and Newton invented this kind of calculation. Several mathematicians contributed to this subject over the years. People like Liouville, Riemann, and Weyl made major contributions to the theory of Fractional Calculus. In recent decades the field of Fractional Calculus has attracted the interest of researchers in several areas, including mathematics, physics, chemistry, engineering, and even finance and social sciences. Recent Trends in Fractional Calculus and Its Applications addresses the answer to this very basic question: "Why is Fractional Calculus important?" Until recent times, Fractional Calculus was considered as a rather esoteric mathematical theory without applications, but in the last few decades there has been an explosion of research activities on the application of Fractional Calculus to very diverse scientific fields ranging from the physics of diffusion and advection phenomena, to control systems to finance and economics. Provides the most recent and up-to-date developments in the Fractional Calculus and its application areasPresents pre-preparation ideas to help researchers/scientists/clinicians face the new challenges in the application of fractional differential equationsHelps researchers and scientists understand the importance of the Fractional Calculus to solve many problems in Biomedical Engineering and applied sciences

Book details

Book category Books in English Medicine Medicine: general issues Medical bioinformatics

• Full title: Recent Trends in Fractional Calculus and Its Applications
• Author: Praveen Agarwal, Luis Vázquez Martínez, Ervin K. Lenzi
• Language: English
• Binding: Paperback
• Number of pages: 320
• EAN: 9780443185052
• ISBN: 0443185050
• ID: 43723688
• Dimensions: 234 × 191 mm
• Date of publishing: 01. March 2024

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