Filters

2025 - 20262
Reset filters

Settings

Subject: Ulam-Hyers Stability

Search Results

Now showing 1 - 2 of 2
  • Thumbnail Image
    Article
    On Nonlocal Boundary Caputo Tempered Fractional Coupled Systems in Banach Spaces
    (SpringerNature, 2026) Kadari, Halima; Salim, Abdelkrim; Benchohra, Mouffak; Karapinar, Erdal
    We employ M & ouml;nch's fixed point theorem along with the technique of measure of non-compactness to establish the existence of solutions for a coupled system of tempered fractional differential equations with nonlocal boundary conditions. Additionally, we investigate the Ulam stability of the system as a qualitative aspect of our analysis. Finally, an illustrative example is provided to demonstrate that our approach meets the specific requirements set forth in the paper.
  • Thumbnail Image
    Article
    Citation - WoS: 7
    Citation - Scopus: 9
    A New Approach To the Existence and Uniqueness of Solutions for A Class of Nonlinear Q-Fractional Boundary Value Problems
    (Institute of Applied Mathematics of Baku State University, 2025) Karapinar, E.; Sevinik-Adiguzel, R.; Aksoy, U.; Erhan, I. M.
    The object of this study is a boundary value problem associated with a q-difference equation of fractional order. The existence and uniqueness of a solution in the case of multi-point boundary conditions is studied from the viewpoint of fixed point theory. An integral equation equivalent to the boundary value problem is derived and the fixed points of the related integral operator are investigated by using a contractive condition involving a comparison function. The Ulam-Hyers stability of the problem is also discussed. Theoretical results are followed by a particular example.