Abstract Fractional Monotone Approximation, Theory and Applications

Download or read book Abstract Fractional Monotone Approximation, Theory and Applications written by George A. Anastassiou and published by Springer Nature. This book was released on 2022-03-11 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.