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


Georgiev S. G., Akgöl S.

MATHEMATICA SLOVACA, vol.74, no.6, pp.1477-1488, 2024 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 74 Issue: 6
  • Publication Date: 2024
  • Doi Number: 10.1515/ms-2024-0107
  • Journal Name: MATHEMATICA SLOVACA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.1477-1488
  • Çukurova University Affiliated: Yes

Abstract

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.