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
In this article, authors expressed a new definition 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 definitions can be used in many different models arising in physical applications.
Keywords:
q-calculus (B; q)-derivative, (B; q)-integral,
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- ISSN: 2687-6531
- Yayın Aralığı: Yılda 2 Sayı
- Başlangıç: 2019
- Yayıncı: Nihat AKGÜNEŞ
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Abdullah ŞAHİNKAYA, İbrahim YALÇINKAYA, Durhasan Turgut TOLLU
A New Concept for Fractional Quantum Calculus: (B; q)-Calculus and Its Properties