Abstract generalized fractional Landau inequalities over $\mathbb{R}$

Authors : George ANASTASSİOU

Pages : 34-47

Doi:10.33205/cma.764161

View : 19 | Download : 96

Publication Date : 2021-03-01

Article Type : Research Paper

Abstract :We present uniform and $L_p$ mixed Caputo-Bochner abstract generalized fractional Landau inequalities over $\mathbb{R}$ of fractional orders $ 2 < \alpha \leq 3 $. These estimate the size of first and second derivatives of a composition with a  Banach space valued function over $\mathbb{R}$. We give applications when $α = 2.5$.
Keywords : Abstract generalized fractional Landau inequality, right and left Caputo abstract generalized fractional derivatives, fractional derrivatives