Abstract Kernel Fractional Calculus

This book employs an abstract kernel fractional calculus with applications to Prabhakar and non-singular kernel fractional calculi. The results are univariate and bivariate.

Univariate Case

In the univariate case, abstract fractional monotone approximation by polynomials and splines is presented.

Bivariate Case

In the bivariate case, the abstract fractional monotone constrained approximation by bivariate pseudo-polynomials and polynomials is given.

Applications

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.

Target Audience

This book is appropriate for researchers, graduate students, practitioners, and seminars of the above disciplines.