Fractional Derivatives: The Perspective of System Theory

• DOI: 10.3390/math7020150
• Publication Date: 2019-02-06T08:03:05Z
• Authors: Manuel Duarte Ort...; José Tenreiro Mac...
• Keywords: fractional derivatives; fractional operators; 0103 physical sciences; QA1-939; fractional integrals; fractional anti-derivatives; fractional calculus; 01 natural sciences; Mathematics

This paper addresses the present day problem of multiple proposals for operators under umbrella “fractional derivatives”. Several papers demonstrated that various those “novel” definitions are incorrect. Here classical system theory is applied to develop a unified framework clarify this important topic in Fractional Calculus.