- Ikonion Journal of Mathematics
- Vol: 2 Issue: 1
- A New Concept for Fractional Quantum Calculus: ( B; q)-Calculus and Its Properties
A New Concept for Fractional Quantum Calculus: ( B; q)-Calculus and Its Properties
Authors : Ali Kurt, Orkun Taşbozan
Pages : 44-48
View : 8 | Download : 4
Publication Date : 2020-07-30
Article Type : Research
Abstract :In this article, authors expressed a new de finition called (B ; q)- derivative and integral which is a new type of fractional quantum derivative and integral. Also theorems and proofs on some basic properties of (B ; q)- derivative and integral such as product rule, quotient rule, linearity and etc. are stated. These new defi nitions can be used in many different models arising in physical applications.Keywords : q-calculus, (B, q)-derivative, (B, q)-integral