A remark on local fractional calculus and ordinary derivatives

• Autorzy: Ricardo Almeida , Małgorzata Guzowska , Tatiana Odzijewicz
• Języki publikacji: EN

Abstrakty

EN

In this short note we present a new general definition of local fractional derivative, that depends on an unknown kernel. For some appropriate choices of the kernel we obtain some known cases. We establish a relation between this new concept and ordinary differentiation. Using such formula, most of the fundamental properties of the fractional derivative can be derived directly.

Słowa kluczowe

EN

Local fractional derivative; Conformable derivative

Kategorie tematyczne

• 26A33: Fractional derivatives and integrals
• 26A24: Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 1122-1124

Daty

wydano

2016-01-01

otrzymano

2016-10-10

zaakceptowano

2016-12-01

online

2016-12-31

Twórcy

autor

Ricardo Almeida

• Center for Research and Development in Mathematics and Applications, Department of Mathematics, University of Aveiro, 3810-193 Aveiro,

autor

Małgorzata Guzowska

• Faculty of Economics and Management, University of Szczecin, 71-101 Szczecin,

autor

Tatiana Odzijewicz

• Department of Mathematics and Mathematical Economics, Warsaw School of Economics, 02-554 Warsaw,

Identyfikatory

DOI

10.1515/math-2016-0104