Continuity and Differentiability of Solutions with Respect to Initial Conditions and Peano Theorem for Uncertain Differential Equations

V Roomi, HR Ahmadi - Mathematics Interdisciplinary Research, 2022 - mir.kashanu.ac.ir
In this paper we study the dependence of solutions of uncertain initial value problems (UIVP)
on the initial values. Introducing a contraction mapping and using Banach Fixed Point …

Stability of Uncertain Equations of Volterra-Levin type and an Uncertain Delay Differential Equation Via Fixed Point Method‎

V Roomi, HR Ahmadi - Advances in the Theory of Nonlinear …, 2023 - dergipark.org.tr
‎ In this work four uncertain delay differential equations of Volterra-Levin type will be
considered‎.‎ Applying suitable contraction mapping and fixed point method‎,‎ the stability of …

[HTML][HTML] The Liouville Formula for the Uncertain Homogeneous Linear System and Explicit Solutions of the System

V Roomi, HR Ahmadi - Differential Equations and Dynamical Systems, 2021 - Springer
This paper presents some new definitions and results about a system of uncertain
homogeneous linear differential equations. Introducing the uncertain fundamental system …