Results 91 to 100 of about 3,597,774 (226)

Existence of Positive Solutions for Implicit Caputo Fractional Problems With Integral Boundary Condition

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This paper investigates positive solutions for an implicit Caputo fractional boundary value problem of order 0 < ν < 1 on [0, T] with a nonlocal integral boundary condition. By reformulating the problem as an equivalent nonlinear Volterra integral equation, an associated operator on C([0, T], ℝ) is defined, and fixed‐point theory in a cone is employed.
Ngo Ngoc Hung, Youssri Hassan Youssri
wiley   +1 more source

Stability and Superstability of a Linear Functional Equation on Restricted Domains

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper investigates the Hyers–Ulam stability and superstability of the functional equation f(x2 + yf(z)) = xf(x) + zf(y) for real‐valued functions f : R⟶R on some restricted subsets of R.
Abbas Najati, Mohammad Amin Tareeghee, Themistocles M. Rassias, Arnab Biswas   +3 more
wiley   +1 more source

Hyers-Ulam stability of n th order linear differential equation

, 2019
In this paper, we investigate the Hyers-Ulam stability and Hyers-Ulam-Rassias stability of the homogeneous linear differential equation of nth order with initial and boundary conditions by using Taylor’s Series ...
Murali, R., Selvan, A. Ponmana
core   +1 more source

On the Stability of Fractional Integro‐Differential Equations of Ψ‐Hilfer Type

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this article, we investigate some properties such as the existence, uniqueness, and Ulam–Hyers–Rassias stability for the fractional Volterra–Fredholm integrodifferential equations of Ψ‐Hilfer type with boundary conditions. We prove the desired results by using the Banach fixed point theorem and the Schauder fixed point theorem.
Malayin A. Mohammed, Sahar M. A. Maqbol, Ram G. Metkar, Udhayakumar Ramalingam   +3 more
wiley   +1 more source

On the Hyers-Ulam Stability of a System of Euler Dierential Equations of First Order

, 2016
[[abstract]]In this paper, we prove the Hyers-Ulam stability of a special type of systems of Euler dierential equations of rst ...
Byungbae Kim, Themistocles M. Rassias, Soon-Mo Jung   +2 more
core  

A Fixed-Point Approach to the Hyers–Ulam Stability of Caputo–Fabrizio Fractional Differential Equations

Mathematics, 2020
In this paper, we study Hyers–Ulam and Hyers–Ulam–Rassias stability of nonlinear Caputo–Fabrizio fractional differential equations on a noncompact interval. We extend the corresponding uniqueness and stability results on a compact interval.
Kui Liu, Michal Fečkan, JinRong Wang
doaj   +1 more source

Analysis of the Existence and Stability of Solutions for a Class of Four‐Term Fractional Differential Equations

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study investigates a category of high‐order sequential fractional boundary value problems involving four‐term fractional derivatives. Motivated by the nonlocal properties of fractional calculus and the limitations of available models with fewer derivatives, the solutions of a novel four‐term sequential fractional differential equation under hybrid
Debao Yan, Pramita Mishra
wiley   +1 more source

Hyers-Ulam Stability of the First-Order Matrix Differential Equations [PDF]

, 2015
We prove the generalized Hyers-Ulam stability of the first-order linear homogeneous matrix differential equations y→'(t)=A(t)y→(t). Moreover, we apply this result to prove the generalized Hyers-Ulam stability of the nth order linear differential ...
Soon-Mo Jung
core   +1 more source

On the Stability of Nonautonomous Linear Impulsive Differential Equations

Journal of Function Spaces and Applications, 2013
We introduce two Ulam's type stability concepts for nonautonomous linear impulsive ordinary differential equations. Ulam-Hyers and Ulam-Hyers-Rassias stability results on compact and unbounded intervals are presented, respectively.
JinRong Wang, Xuezhu Li
doaj   +1 more source

β–Ulam–Hyers Stability and Existence of Solutions for Non-Instantaneous Impulsive Fractional Integral Equations

Fractal and Fractional
In this paper, we investigate a class of non-instantaneous impulsive fractional integral equations. Utilizing the Banach contraction mapping principle, we establish the existence and uniqueness of solutions for the considered problem.
Wei-Shih Du, M. Fečkan, M. Kostić, D. Velinov   +3 more
semanticscholar   +1 more source