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George A. Anastassiou

Abstract Fractional Monotone Approximation, Theory and Applications

Abstract Fractional Monotone Approximation, Theory and Applications

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This book uses abstract kernel fractional calculus to present univariate and bivariate abstract fractional monotone approximation by polynomials and splines, with applications in pure and applied mathematics, geophysics, physics, chemistry, economics, and engineering.

Format: Hardback
Length: 145 pages
Publication date: 12 March 2022
Publisher: Springer Nature Switzerland AG


This book employs an abstract kernel fractional calculus with applications to Prabhakar and non-singular kernel fractional calculi. The results are univariate and bivariate. In the univariate case, an abstract fractional monotone approximation by polynomials and splines is presented. In the bivariate case, the abstract fractional monotone constrained approximation by bivariate pseudo-polynomials and polynomials is given. The results of this book are expected to find applications in many areas of pure and applied mathematics, especially in fractional approximation and fractional differential equations. Other interesting applications are applied in sciences like geophysics, physics, chemistry, economics, and engineering. This book is appropriate for researchers, graduate students, practitioners, and seminars of the above disciplines.

This book employs an abstract kernel fractional calculus with applications to Prabhakar and non-singular kernel fractional calculi. The results are univariate and bivariate. In the univariate case, an abstract fractional monotone approximation by polynomials and splines is presented. In the bivariate case, the abstract fractional monotone constrained approximation by bivariate pseudo-polynomials and polynomials is given. The results of this book are expected to find applications in many areas of pure and applied mathematics, especially in fractional approximation and fractional differential equations. Other interesting applications are applied in sciences like geophysics, physics, chemistry, economics, and engineering. This book is appropriate for researchers, graduate students, practitioners, and seminars of the above disciplines.

Weight: 412g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030959425
Edition number: 1st ed. 2022

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