Results 41 to 50 of about 3,597,774 (226)

Perturbation of One-Dimensional Time-Independent Schrödinger Equation with a Near-Hyperbolic Potential

Axioms, 2022
The authors have recently investigated a type of Hyers–Ulam stability of one-dimensional time-independent Schrödinger equation with a symmetric parabolic potential wall.
Byungbae Kim, Soon-Mo Jung
doaj   +1 more source

Generalized Hyers–Ulam Stability of Laplace Equation With Neumann Boundary Condition in the Upper Half‐Space

Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 521-530, 30 January 2026.
ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang, Hoewoon B. Kim, Dojin Kim   +2 more
wiley   +1 more source

Representation of Solutions and Ulam–Hyers Stability of the Two-Sided Fractional Matrix Delay Differential Equations

Fractal and Fractional
This paper investigates linear two-sided fractional matrix delay differential equations (TSFMDDE). Firstly, the two-sided fractional delayed Mittag-Leffler matrix functions (TSFDMLMF) are constructed. Further, the representation of solutions of two-sided
Taoyu Yang, Mengmeng Li
semanticscholar   +1 more source

Ulam-Hyers stability results for a novel nonlinear Nabla Caputo fractional variable-order difference system

, 2021
This paper is concerned with a kind of nonlinear Nabla Caputo fractional difference system with variableorder and fixed initial valuable. By applying Krasnoselskii’s fixed point theorem, we give some sufficient conditions to guarantee the existence ...
Danfeng Luo, T. Abdeljawad, Zhiguo Luo
semanticscholar   +1 more source

Ulam’s stability for some linear conformable fractional differential equations

Advances in Difference Equations, 2020
In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers ...
Sen Wang, Wei Jiang, Jiale Sheng, Rui Li
doaj   +1 more source

On a coupled system of pantograph problem with three sequential fractional derivatives by using positive contraction-type inequalities

Results in Physics, 2022
This paper aims to establish conditions for the existence, uniqueness and Ulam–Hyers stability of solutions for a coupled system of pantograph problem with three sequential fractional derivatives.
Reny George, Mohamed Houas, Mehran Ghaderi, Shahram Rezapour, S.K. Elagan   +4 more
doaj   +1 more source

Ulam‐type stability of ψ− Hilfer fractional‐order integro‐differential equations with multiple variable delays

Asian Journal of Control, Volume 28, Issue 1, Page 34-45, January 2026.
Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
wiley   +1 more source

Well-posedness and Ulam-Hyers stability results of solutions to pantograph fractional stochastic differential equations in the sense of conformable derivatives

AIMS Mathematics
One kind of stochastic delay differential equation in which the delay term is dependent on a proportion of the current time is the pantograph stochastic differential equation.
W. Albalawi, M. Liaqat, Fahim Ud Din, K. Nisar, A. Abdel‐Aty   +4 more
semanticscholar   +1 more source

Existence and Ulam-Hyers Stability Results for a System of Coupled Generalized Liouville-Caputo Fractional Langevin Equations with Multipoint Boundary Conditions

Symmetry, 2023
We study the existence and uniqueness of solutions for coupled Langevin differential equations of fractional order with multipoint boundary conditions involving generalized Liouville–Caputo fractional derivatives.
M. Awadalla, M. Subramanian, K. Abuasbeh
semanticscholar   +1 more source

Hyers-Ulam Stability of Power Series Equations [PDF]

, 2011
We prove the Hyers-Ulam stability of power series equation ∑∞=0=0, where for =0,1,2,3,… can be real or ...
M. Eshaghi Gordji, M. Bidkham, H. A. Soleiman Mezerji   +2 more
core   +1 more source