Araştırma Makalesi

A STUDY ON NON-HOMOGENEOUS MULTIPLICATIVE BOUNDARY VALUE PROBLEMS

Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" 29 Aralık 2024
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A STUDY ON NON-HOMOGENEOUS MULTIPLICATIVE BOUNDARY VALUE PROBLEMS

Öz

The paper deals with the non-homogeneous boundary value problems established in the multiplicative calculus. For this problem, the multiplicative meanings of concepts such as adjoint operator, self-adjoint operator, Lagrange identity, Green's formula are obtained. Then, a criterion is given for the existence of solutions to non-homogeneous multiplicative boundary value problems.

Anahtar Kelimeler

Kaynakça

  1. M. E. Aydin, A. Has, B. Yilmaz, A Non-Newtonian Approach İn Differential Geometry Of Curves: Multiplicative Rectifying Curves, Bulletin of the Korean Mathematical Society, Vol.61, No.3, pp.849-866 (2024).
  2. A. Bal, N. Yalcin, M. Dedeturk, Solutions of Multiplicative Integral Equations Via The Multiplicative Power Series Method, Politeknik Dergisi, Vol.26, No.1, pp.311-320 (2023).
  3. J. S. Bardi, The Calculus Wars: Newton, Leibniz, and the Greatest Mathematical Clash of All Time. New York: Thunder's Mouth Press, İSBN 1-56025-706-7 (2006).
  4. A. Bashirov, E. M. Kurpinar, A. Ozyapici, Multiplicative Calculus and İts Applications, Journal of Mathematical Analysis and Applications, Vol.337, No.1, pp.36-48 (2008).
  5. A. Bashirov, G. Bashirova, Dynamics of Literary Texts and Diffusion, Online Journal of Communication and Media Technologies, Vol.1, No.3, pp.60-82 (2011).
  6. A. Bashirov, E. Misirli, Y. Tandogdu, A. Ozyapici, On Modeling with Multiplicative Differential Equations, Applied Mathematics-A Journal of Chinese Universities, Vol.26, No.4, pp.425-438 (2011).
  7. B. Bilgehan, A. Ozyapici, Z. Hammouch, Y. Gurefe, Predicting the Spread of COVİD-19 with a Machine Learning Technique and Multiplicative Calculus, Soft Computing, Vol.26, No.16, pp.8017-8024 (2022).
  8. C. B. Boyer, The History of the Calculus and its Conceptual Development, New York: Dover. OCLC 643872 (1959).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Adi Diferansiyel Denklemler, Fark Denklemleri ve Dinamik Sistemler

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

29 Aralık 2024

Gönderilme Tarihi

19 Eylül 2024

Kabul Tarihi

2 Kasım 2024

Yayımlandığı Sayı

Yıl 2024 Cilt: 7 Sayı: To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"

Kaynak Göster

APA
Göktaş, S., Kale, A., Öner, A., & Gürefe, Y. (2024). A STUDY ON NON-HOMOGENEOUS MULTIPLICATIVE BOUNDARY VALUE PROBLEMS. Journal of Universal Mathematics, 7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"), 73-85. https://doi.org/10.33773/jum.1552823
AMA
1.Göktaş S, Kale A, Öner A, Gürefe Y. A STUDY ON NON-HOMOGENEOUS MULTIPLICATIVE BOUNDARY VALUE PROBLEMS. JUM. 2024;7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"):73-85. doi:10.33773/jum.1552823
Chicago
Göktaş, Sertaç, Ayşenur Kale, Aslı Öner, ve Yusuf Gürefe. 2024. “A STUDY ON NON-HOMOGENEOUS MULTIPLICATIVE BOUNDARY VALUE PROBLEMS”. Journal of Universal Mathematics 7 (To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"): 73-85. https://doi.org/10.33773/jum.1552823.
EndNote
Göktaş S, Kale A, Öner A, Gürefe Y (01 Aralık 2024) A STUDY ON NON-HOMOGENEOUS MULTIPLICATIVE BOUNDARY VALUE PROBLEMS. Journal of Universal Mathematics 7 To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" 73–85.
IEEE
[1]S. Göktaş, A. Kale, A. Öner, ve Y. Gürefe, “A STUDY ON NON-HOMOGENEOUS MULTIPLICATIVE BOUNDARY VALUE PROBLEMS”, JUM, c. 7, sy To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", ss. 73–85, Ara. 2024, doi: 10.33773/jum.1552823.
ISNAD
Göktaş, Sertaç - Kale, Ayşenur - Öner, Aslı - Gürefe, Yusuf. “A STUDY ON NON-HOMOGENEOUS MULTIPLICATIVE BOUNDARY VALUE PROBLEMS”. Journal of Universal Mathematics 7/To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI" (01 Aralık 2024): 73-85. https://doi.org/10.33773/jum.1552823.
JAMA
1.Göktaş S, Kale A, Öner A, Gürefe Y. A STUDY ON NON-HOMOGENEOUS MULTIPLICATIVE BOUNDARY VALUE PROBLEMS. JUM. 2024;7:73–85.
MLA
Göktaş, Sertaç, vd. “A STUDY ON NON-HOMOGENEOUS MULTIPLICATIVE BOUNDARY VALUE PROBLEMS”. Journal of Universal Mathematics, c. 7, sy To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI", Aralık 2024, ss. 73-85, doi:10.33773/jum.1552823.
Vancouver
1.Sertaç Göktaş, Ayşenur Kale, Aslı Öner, Yusuf Gürefe. A STUDY ON NON-HOMOGENEOUS MULTIPLICATIVE BOUNDARY VALUE PROBLEMS. JUM. 01 Aralık 2024;7(To memory "Assoc. Prof. Dr. Zeynep AKDEMİRCİ ŞANLI"):73-85. doi:10.33773/jum.1552823