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Discrete Fractional Calculus by Christopher Goodrich, Allan C. Peterson

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Discrete Fractional Calculus Christopher Goodrich, Allan C. Peterson ebook
Format: pdf
ISBN: 9783319255606
Page: 556
Publisher: Springer International Publishing

In the first part of the thesis, we introduce and prove new monotonicity concepts in discrete fractional calculus. We obtain the discrete Sumudu transform of Taylor monomials, fractional sums, and fractional differences. The author's purpose in this dissertation is to introduce, develop and apply the tools of discrete fractional calculus to the arena of fractional difference equations. In this paper, using the Lyapunov's direct method, the stability of discrete non- autonomous systems with Discrete fractional calculus with the nabla operator. As particular cases, results on delta and nabla discrete fractional calculus are obtained. Here we define a Caputo like discrete nabla fractional difference and we produce discrete nabla fractional Taylor formulae for the first time. Esta teorıa para resolver un problema fraccionado de valor inicial. Fundamental properties of the new fractional operator are proved. Publication » Discrete Fractional Calculus: Definitions and Applications. Properties of discrete fractional calculus in the sense of a backward difference are introduced and developed. Keywords: Discrete Fractional Calculus, Fractional Sum, Fractional Difference, Composition. Discrete Fractional Calculus: Applications in Control and Image Processing ( Series in Computer Vision) [Piotr Ostalczyk] on Amazon.com. Our results constitute generalizations on the inequalities of discrete calculus. Fractional discrete-time variational problems, discrete analogues of We introduce a discrete-time fractional calculus of variations on the.

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