A fixed point method for stability of nonlinear volterra integral equations in the sense of Ulam

Ogrekci S., Basci Y., MISIR A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.46, sa.8, ss.8437-8444, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 8
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1002/mma.8988
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.8437-8444
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we investigate the Hyers-Ulam and Hyers-Ulam-Rassias stability of solutions of a general class of nonlinear Volterra integral equations. By applying a fixed point theorem and modifying a technique widely used in similar problems, we improve some well-known results on this problem. We also provide some examples illustrating the improvement of the results mentioned.