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

Yıl 2020, Cilt: 2 Sayı: 1, 44 - 48, 30.07.2020

Ali Kurt Orkun Taşbozan

Öz

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.

Anahtar Kelimeler

q-calculus (B ; q)-derivative (B ; q)-integral

Kaynakça

  • K.B. Oldham and J. Spanier, The Fractional Calculus, Academic, New York, 1974.
  • I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999. A.A. Kilbas, H.M. Srivastava and J.J. Trujillo, Theory and Applications of Fractional Differential Equations. Elsevier, Amsterdam, 2006.
  • A.Atangana, S.C.O. Noutchie, Model of Break-Bone Fever via Beta-Derivatives, BioMed Research Internationa, 2014, 10 pages, 2014.
  • V. Kac and P. Cheung, Quantum Calculus, Springer, New York (2002).
  • J. Tariboon and S.K. Ntouyas, Quantum calculus on nite intervals and applications to impulsive difference equations, Advances in Difference Equations, 282, 1-19, 2013.

Yıl 2020, Cilt: 2 Sayı: 1, 44 - 48, 30.07.2020

Ali Kurt Orkun Taşbozan

Öz

Kaynakça

  • K.B. Oldham and J. Spanier, The Fractional Calculus, Academic, New York, 1974.
  • I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999. A.A. Kilbas, H.M. Srivastava and J.J. Trujillo, Theory and Applications of Fractional Differential Equations. Elsevier, Amsterdam, 2006.
  • A.Atangana, S.C.O. Noutchie, Model of Break-Bone Fever via Beta-Derivatives, BioMed Research Internationa, 2014, 10 pages, 2014.
  • V. Kac and P. Cheung, Quantum Calculus, Springer, New York (2002).
  • J. Tariboon and S.K. Ntouyas, Quantum calculus on nite intervals and applications to impulsive difference equations, Advances in Difference Equations, 282, 1-19, 2013.
Toplam 5 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Kabul edilmiş makaleler
Yazarlar

Ali Kurt

Orkun Taşbozan

Yayımlanma Tarihi 30 Temmuz 2020
Kabul Tarihi 6 Ekim 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 2 Sayı: 1

Kaynak Göster

APA Kurt, A., & Taşbozan, O. (2020). A New Concept for Fractional Quantum Calculus: ( B; q)-Calculus and Its Properties. Ikonion Journal of Mathematics, 2(1), 44-48.
AMA Kurt A, Taşbozan O. A New Concept for Fractional Quantum Calculus: ( B; q)-Calculus and Its Properties. ikjm. Temmuz 2020;2(1):44-48.
Chicago Kurt, Ali, ve Orkun Taşbozan. “A New Concept for Fractional Quantum Calculus: ( B; Q)-Calculus and Its Properties”. Ikonion Journal of Mathematics 2, sy. 1 (Temmuz 2020): 44-48.
EndNote Kurt A, Taşbozan O (01 Temmuz 2020) A New Concept for Fractional Quantum Calculus: ( B; q)-Calculus and Its Properties. Ikonion Journal of Mathematics 2 1 44–48.
IEEE A. Kurt ve O. Taşbozan, “A New Concept for Fractional Quantum Calculus: ( B; q)-Calculus and Its Properties”, ikjm, c. 2, sy. 1, ss. 44–48, 2020.
ISNAD Kurt, Ali - Taşbozan, Orkun. “A New Concept for Fractional Quantum Calculus: ( B; Q)-Calculus and Its Properties”. Ikonion Journal of Mathematics 2/1 (Temmuz 2020), 44-48.
JAMA Kurt A, Taşbozan O. A New Concept for Fractional Quantum Calculus: ( B; q)-Calculus and Its Properties. ikjm. 2020;2:44–48.
MLA Kurt, Ali ve Orkun Taşbozan. “A New Concept for Fractional Quantum Calculus: ( B; Q)-Calculus and Its Properties”. Ikonion Journal of Mathematics, c. 2, sy. 1, 2020, ss. 44-48.
Vancouver Kurt A, Taşbozan O. A New Concept for Fractional Quantum Calculus: ( B; q)-Calculus and Its Properties. ikjm. 2020;2(1):44-8.
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