Abstract Fractional Monotone Approximation, Theory and Applications

Beschreibung

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, 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. This book’s results 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, 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. This book’s results 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.

Employs abstract kernel fractional calculus with applications to Prabhakar and non-singular kernel fractional calculi Presents abstract fractional monotone approximation by polynomials and splines Gives abstract fractional monotone constrained approximations by bivariate pseudo-polynomials

Autor*in

George A. Anastassiou

Themen in »Abstract Fractional Monotone Approximation, Theory and Applications«

Abstract Fractional Monotone Approximation Fractional Monotone Approximation Fractional Calculus Fractional Approximation Fractional Differential Equation

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“The book is a very interesting contribution to the recent developments in fractional calculus, which is widely studied due to its numerous applications in many scientific fields.” (Carlo Bardaro, Mathematical Reviews, September, 2023)
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