Existence and Uniqueness of Solutions for Fractional Dynamic Equations with Impulse Effects

Georgiev S. G., Akgöl S.

MATHEMATICA SLOVACA, cilt.74, sa.6, ss.1477-1488, 2024 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 74 Sayı: 6
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1515/ms-2024-0107
  • Dergi Adı: MATHEMATICA SLOVACA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1477-1488
  • Çukurova Üniversitesi Adresli: Evet

Özet

Abstract The aim of the study is to establish sufficient conditions to ensure the existence and uniqueness of solutions for nonlinear Riemann-Liouville fractional dynamic equations under impulse effects. The current state of the literature reveals a visible gap in the investigation of the existence-uniqueness aspects of such equations, and this research makes a significant contribution to filling this gap. To highlight the practical implications of our results, we present an illustrative example that exemplifies the applicability of the established conditions.