Properties of the Katugampola fractional derivative with potential application in quantum mechanics

By Douglas R. Anderson, Darin J. Ulness. 2015

170 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Modeling and Simulation, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/47dff09f46abbcf491655d4d600a33018e86208a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. A. A. Abdelhakim
2. Ricardo Almeida

In Modeling and Simulation

1. J. Machado
2. A. A. Abdelhakim
3. Darin J. Ulness
4. Ricardo Almeida
5. M. Luo
6. Tatiana Odzijewicz
7. Douglas R. Anderson
8. Dazhi Zhao

In Statistical and Nonlinear Physics

1. A. A. Abdelhakim
2. Ricardo Almeida
3. J. Machado
4. Tatiana Odzijewicz
5. Douglas R. Anderson
6. Darin J. Ulness

Citations in the corpus

• A remark on local fractional calculus and ordinary derivatives (2016, background): “t///= , and some fundamental properties like the algebraic rules or the mean value theorem are obtained; later, in [3], the same concept of local fractional derivative is considered and an anti-derivative operator is defined, as well some applications to quantum mechanics; in [15, 16], the local fra”
• General conformable fractional derivative and its physical interpretation (2017, background): “Some scholars followed this work and explored potential applications in Newton mechanics [28], quantum mechanics [29] and so on [30].”
• Newly Defined Conformable Derivatives (2015, background): “Several follow-up papers using at least one of the above conformable definitions include [2–8, 10–13, 19].”
• A critical analysis of the conformable derivative (2018, background): “Similarly, Theorem 2 trivializes all the results in [4,14].”