Richard Herrmann

The book presents a concise introduction to the basic methods and strategies in fractional calculus and enables the reader to catch up with the state of the art in this field as well as to participate and contribute in the development of this exciting research area.

Oldham & Jerome Spanier published The Fractional Calculus: Theory. & Applications of Differentiation & Integration to Arbitrary Order.3 Though it retains its place ... Fractional calculus provides a good tool to describe physical memory and heredity. Fractional order calculus has been applied to many fields such as flabby, ...

9814551074 ISBN
Englisch SPRACHE


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Sofia Voigt

Still another approach to fractional calculus is to begin with a generalization of the formula for repeated integration. Suppose the function f(x) has the specified values f 0, f 1, f 2, f 3, f 4, and f 5 at equally spaced intervals of width ε. The integral of this function from x = 0 to 5ε can be approximated by ε times the cumulative sum

Matteo Müller

Fractional calculus is allowing integrals and derivatives of any positive order (the term fractional is kept only for historical reasons). It can be considered a branch of mathematical physics that deals with integro-differential equations, where integrals are of convolution type and exhibit mainly singular kernels of power law or logarithm type. Introductory Notes on Fractional Calculus - Xuru

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Mar 13, 2016 ... However, fractional calculus opens up a whole new area of beautiful and magical maths. How do we interpret the half derivative of a function?

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Introduction. There has been a lot of correspondence recently on the Ask Nrich web-board about fractional derivatives. We know how to differentiate a function ... Fractional calculus (integral and differential operations of noninteger order) is not often used to model biological systems. Although the basic mathematical ideas ...