Sturm’s theorems for conformable fractional differential equations

Michal Pospíšil, 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

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ISSN: 1331-0623 (Print), 1848-8013 (Online)