Results 41 to 50 of about 1,498 (137)

Generalized Ulam’s Stability of Delayed Discrete System With Second‐Order Differences

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
This work explores generalized Ulam‐type stability for a family of time‐lag discrete systems governed by two‐order difference operators. First and foremost, we put forward strict mathematical formulations of Hyers–Ulam‐based generalized stability adapted to the above‐mentioned two‐order time‐delay discrete frameworks, which expand existing stability ...
Maosong Yang, Guanli Xiao, Menglong Zhao, Deepali Deepali   +3 more
wiley   +1 more source

Mittag-Leffler-Hyers-Ulam stability for a first- and second-order nonlinear differential equations using Fourier transform

Demonstratio Mathematica
In this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam, Sabarinathan Sriramulu, Selvan Arumugam Ponmana   +2 more
doaj   +1 more source

The Approximation Property of a One-Dimensional, Time Independent Schrödinger Equation with a Hyperbolic Potential Well

Mathematics, 2020
A type of Hyers–Ulam stability of the one-dimensional, time independent Schrödinger equation was recently investigated; the relevant system had a parabolic potential wall.
Ginkyu Choi, Soon-Mo Jung
doaj   +1 more source

Optimal Control Analysis and Simulation of a Mathematical Model for Recurrent Malaria Dynamics via the Caputo Fractional‐Order Derivative

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
The Caputo fractional derivative is employed to investigate the role of memory effects in modeling the transmission dynamics of recurrent malaria in interacting human–vector populations. The model generalizes an existing classical version accounting for the three major forms of recurrent malaria, including re‐infection, recrudescence, and relapse.
Sulaimon F. Abimbade, Furaha M. Chuma, Adekunle O. Sangotola, Ramoshweu S. Lebelo, Samson Olaniyi, Md. Kamrujjaman   +5 more
wiley   +1 more source

Nonlinear analysis for Hilfer fractional differential equations

Franklin Open
In this paper, we discuss nonlinear Hilfer fractional differential equations with separated boundary conditions. Using the well-known Leggett–Williams theorem, we first explore the existence of multiple positive solutions for the nonlinear Hilfer ...
Debananda Basua, Swaroop Nandan Bora
doaj   +1 more source

Locally Bounded Second κ‐Variation Solution of an Integro‐Differential Equation With Infinite Delay

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This work presents conditions under which the Volterra integral equation of the second kind admits a unique solution in the class of locally bounded second κ‐variation functions on [0, +∞). Our approach relies on successive Picard iterations to obtain such a solution on a compact interval, and then to prolong it to [0, +∞).
Luz Elimar Marchan, Luis Fernando Mejías, Liliana Pérez, Deepali   +3 more
wiley   +1 more source

An Implicit Fractional Model With Finite Delay and Impulses: Analysis and Computation

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper establishes the existence and uniqueness of solutions for a class of implicit fractional Volterra–Fredholm integrodifferential equations with finite delay and instantaneous impulses. By employing the Banach contraction principle and Schaefer’s fixed‐point theorem, we provide a rigorous analytical foundation for our results.
Abdulrahman A. Sharif, Maha Hamood, Kirtiwant P. Ghadle, Patricia J. Y. Wong   +3 more
wiley   +1 more source

Stability analysis of implicit fractional differential equations with anti-periodic integral boundary value problem

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019
In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability, and generalized Ulam-Hyers-Rassias stability of the solution to an ...
Akbar Zada, Hira Waheed
doaj  

Existence and stability of mixed type Hilfer fractional differential equations with impulses and time delay

Results in Applied Mathematics
In this paper, we consider a class of mixed type Hilfer fractional differential equations with noninstantaneous impulses, nonlocal conditions and time delay.
Baoyan Han, Bo Zhu
doaj   +1 more source

Fixed Point Analysis for Cauchy‐Type Variable‐Order Fractional Differential Equations With Finite Delay

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper presents a comprehensive analysis of the existence, uniqueness, and Ulam–Hyers stability of solutions for a class of Cauchy‐type nonlinear fractional differential equations with variable order and finite delay. The motivation for this study lies in the increasing importance of variable‐order fractional calculus in modeling real‐world systems
Souhila Sabit, Mohammed Said Souid, Marwa Benaouda, K. Sudarmozhi, Joshua Kiddy K. Asamoah, Amar Nath Chatterjee   +5 more
wiley   +1 more source