About Conformable Derivatives in Banach Spaces

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.

arXiv admin note: substantial text overlap with arXiv:1907.03486

References in corpus (2)

• Remarks about the existence of conformable derivatives and some consequences
• Conformable Fractional Bessel Equation and Bessel Functions