About Conformable Derivatives in Banach Spaces

2020/11/05 by Hristo Kiskinov, Kiskinov, Hristo, Milena Petkova +5
Mathematics · #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.2011.04276

Abstract

In the paper we discuss conformable derivative behavior in arbitrary Banach spaces and clear the connection between two conformable derivatives of different order. As a consequence we obtain the important result that an abstract function has a conformable derivative at a point (which does not coincide with the lower terminal of the conformable derivative) if and only if it has a first order derivative at the same point.

Related

• Remarks about the existence of conformable derivatives and some consequences
• Why and How the Definition of the Conformable Derivative in the Lower Terminal Should be Changed
• On the nature of the conformable derivative and its applications to physics
• Precise interpretation of the conformable fractional derivative
• Some counterexamples on the behaviour of real-valued functions and their derivatives