S∗-ITERATION: DATA DEPENDENCE, ALTERNATE APPROACH TO ERROR ESTIMATION AND APPLICATION TO A FRACTIONAL THERMOSTAT MODEL

Owais M., Chanda A., GÜLYAZ ÖZYURT S.

Journal of Nonlinear and Convex Analysis, cilt.26, sa.5, ss.1415-1434, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 5
  • Basım Tarihi: 2025
  • Dergi Adı: Journal of Nonlinear and Convex Analysis
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1415-1434
  • Anahtar Kelimeler: approximate operators, data dependence, error estimation, fractional thermostat model, Weak contractions
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

In this sequel, three aspe of a four-step iteration scheme namely S∗-iteration have been explored. First, a data dependence result has been pre- sented and validated through an aggregated numerical example. Additionally, an alternate approach to establish error estimation result has been proposed, which reduces the complexity and amount of calculations in higher-step iterations. Finally, the S∗-iteration method has been applied to approximate the solution of a fractional thermostat model, supported by a detailed example with an illustrative figure and table.