A New Concept for Fractional Quantum Calculus: (B; q)-Calculus and Its Properties

Year 2020, Volume: 2 Issue: 1, 44 - 48, 30.07.2020

Ali Kurt , Orkun Taşbozan

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

References

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