On the Ulam stabilities of nonlinear integral equations and integro-differential equations

Tunç O., Tunç C., Petruşel G., Yao J.

Mathematical Methods in the Applied Sciences, cilt.47, sa.6, ss.4014-4028, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 6
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1002/mma.9800
  • 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.4014-4028
  • Anahtar Kelimeler: fixed point, integral equation, integro-differential equation, system, Ulam stabilities
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this research, two systems of nonlinear Volterra integral equation and Volterra integro-differential equation were considered. New results in sense of Ulam stabilities in relation to these two systems were proved on a finite interval. The proof of the results on the Ulam stabilities of that classes of the equations are based on the nonlinear alternative related to Banach's contraction principle. The outcomes of this research give new contribution to the theory of Ulam stabilities.