[HTML][HTML] Quantum Laplace Transforms for the Ulam–Hyers Stability of Certain q-Difference Equations of the Caputo-like Type

S Etemad, I Stamova, SK Ntouyas, J Tariboon - Fractal and Fractional, 2024 - mdpi.com
We aim to investigate the stability property for the certain linear and nonlinear fractional q-
difference equations in the Ulam–Hyers and Ulam–Hyers–Rassias sense. To achieve this …

Stability of functional inequality in digital metric space

S Nawaz, MK Hassani, A Batool, A Akgül - Journal of Inequalities and …, 2024 - Springer
In the present article, the Hyers–Ulam stability of the following inequality is analyzed: 0.1 {d
(f (ı+ ȷ),(f (ı)+ f (ȷ)))≤ d (ρ 1 ((f (ı+ ȷ)+ f (ı− ȷ), 2 f (ı))) d (f (ı+ ȷ),(f (ı)+ f (ȷ)))≤+ d (ρ 2 (2 f (ı+ …

Generalized Ternary Hom-Derivations and Jensen -Functional Equation‎: ‎Solving and Stability

Z Heydarpour, K Ghafarnezhad - Journal of Mathematical Extension, 2024 - ijmex.com
Abstract‎ In this research‎,‎ we aim to present the concept of the new generalized Jensen $\rho
$-functional equation‎.‎ Next‎,‎ by utilizing ternary homomorphisms and derivations‎,‎ we define …