Original scientific paper

Sturm’s theorems for conformable fractional differential equations

Michal Pospíšil orcid.org/0000-0002-1071-3077 ; CEITEC – Central European Institute of Technology, Brno University of Technology, Brno, Czech Republic
Lucia Pospíšilova Škripková

Abstract

In the present paper, we make use of local properties of the recently established definition of conformable fractional derivative. Sturm’s separation and Sturm’s comparison theorems are proved for differential equations involving conformable fractional derivative of order 0<α≤1.

Keywords

Fractional derivative; fractional integral; fractional Picone identity

Hrčak ID:

170389

URI

https://hrcak.srce.hr/170389

Publication date:

11.11.2016.

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