Araştırma Makalesi

On Iteration Method to The Solution of More General Volterra Integral Equation in Two Variables and a Data Dependence Result

Cilt: 17 Sayı: 3 27 Eylül 2021
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On Iteration Method to The Solution of More General Volterra Integral Equation in Two Variables and a Data Dependence Result

Öz

Fixed point theory is one of the most important theories and has been studied extensively by researchers in many disciplines. One of these studies is its application to integral equations. In this work, we have shown that the iteration method given in [12] converges to the solution of the more general Volterra integral equation in two variables by using Bielecki’s norm. Also, a data dependence result for the solution of this integral equation has been proven.

Anahtar Kelimeler

Kaynakça

  1. 1. Lungu, N. ve Rus, I.A. 2009. On a Functional Volterra-Fredholm Integral Equation via Picard Operator. Journal of Mathematical Inequalities; 3 (4): 519-527.
  2. 2. Bielecki, A., 1956. Un Remarque sur L’application de la Méthode de Banach-Cacciopoli-Tikhonov dans la Théorie de L’equation s= f (x, y, z, p, q). Bull. Acad. Polon. Sci. Sér. Sci. Math. Phys. Astr; 4: 265-268.
  3. 3. Hadizadeh, M., and Asgary, M. 2005. An efficient numerical approximation for the linear class of mixed integral equations. Applied mathematics and computation; 167(2), 1090-1100.
  4. 4. Gursoy, F. 2014. Applications of normal S-iterative method to a nonlinear integral equation. The Scientific World Journal; 2014, 1-5.
  5. 5. Garodia, C., and Uddin, I. (2018). Solution of a nonlinear integral equation via new fixed point iteration process. arXiv preprint arXiv:1809.03771.
  6. 6. Ilea, V., and Otrocol, D. 2020. Existence and Uniqueness of the Solution for an Integral Equation with Supremum, via w-Distances. Symmetry, 12(9), 1554.
  7. 7. Craciun, C.., and Serban, M. A. 2011. A nonlinear integral equation via Picard operators. Fixed point theory; 12(1), 57-70.
  8. 8. Atalan, Y. 2019. İteratif Yaklaşım Altında Bir Fonksiyonel-İntegral Denklem Sınıfının Çözümünün İncelenmesi. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 9(3), 1622-1632.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

27 Eylül 2021

Gönderilme Tarihi

7 Aralık 2020

Kabul Tarihi

16 Eylül 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 17 Sayı: 3

Kaynak Göster

APA
Maldar, S. (2021). On Iteration Method to The Solution of More General Volterra Integral Equation in Two Variables and a Data Dependence Result. Celal Bayar University Journal of Science, 17(3), 313-318. https://doi.org/10.18466/cbayarfbe.837062
AMA
1.Maldar S. On Iteration Method to The Solution of More General Volterra Integral Equation in Two Variables and a Data Dependence Result. Celal Bayar University Journal of Science. 2021;17(3):313-318. doi:10.18466/cbayarfbe.837062
Chicago
Maldar, Samet. 2021. “On Iteration Method to The Solution of More General Volterra Integral Equation in Two Variables and a Data Dependence Result”. Celal Bayar University Journal of Science 17 (3): 313-18. https://doi.org/10.18466/cbayarfbe.837062.
EndNote
Maldar S (01 Eylül 2021) On Iteration Method to The Solution of More General Volterra Integral Equation in Two Variables and a Data Dependence Result. Celal Bayar University Journal of Science 17 3 313–318.
IEEE
[1]S. Maldar, “On Iteration Method to The Solution of More General Volterra Integral Equation in Two Variables and a Data Dependence Result”, Celal Bayar University Journal of Science, c. 17, sy 3, ss. 313–318, Eyl. 2021, doi: 10.18466/cbayarfbe.837062.
ISNAD
Maldar, Samet. “On Iteration Method to The Solution of More General Volterra Integral Equation in Two Variables and a Data Dependence Result”. Celal Bayar University Journal of Science 17/3 (01 Eylül 2021): 313-318. https://doi.org/10.18466/cbayarfbe.837062.
JAMA
1.Maldar S. On Iteration Method to The Solution of More General Volterra Integral Equation in Two Variables and a Data Dependence Result. Celal Bayar University Journal of Science. 2021;17:313–318.
MLA
Maldar, Samet. “On Iteration Method to The Solution of More General Volterra Integral Equation in Two Variables and a Data Dependence Result”. Celal Bayar University Journal of Science, c. 17, sy 3, Eylül 2021, ss. 313-8, doi:10.18466/cbayarfbe.837062.
Vancouver
1.Samet Maldar. On Iteration Method to The Solution of More General Volterra Integral Equation in Two Variables and a Data Dependence Result. Celal Bayar University Journal of Science. 01 Eylül 2021;17(3):313-8. doi:10.18466/cbayarfbe.837062