Results 71 to 80 of about 2,275,004 (213)

Ulam-Hyers stability for partial differential inclusions

Electronic Journal of Qualitative Theory of Differential Equations, 2012
Summary: Using the weakly Picard operator technique, we will present Ulam-Hyers stability results for integral inclusions of Fredholm and Volterra type and for the Darboux problem associated to a partial differential inclusion.
openaire   +2 more sources

On the Locally Compact Hausdorff Property in the Analytical Solutions and Stability Analysis of the Caputo Fractional Belousov–Zhabotinsky System

Complexity, Volume 2026, Issue 1, 2026.
The fractional Belousov–Zhabotinsky system (BZS) is an important reaction–diffusion model used to describe oscillatory chemical reactions, pattern formation, and memory‐dependent dynamical processes arising in chemistry and related applied sciences. The main objective of this study is to investigate the analytical properties of the fractional BZS and ...
Faten H. Damag, Mohammad Alshammari, Amin Saif, Yusuf Zeren, Mohammed S. Alsharafi, Shikha Binwal   +5 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

Hyers–Ulam Stability of a System of Hyperbolic Partial Differential Equations

Mathematics, 2022
In this paper, we study Hyers–Ulam and generalized Hyers–Ulam–Rassias stability of a system of hyperbolic partial differential equations using Gronwall’s lemma and Perov’s theorem.
Daniela Marian, Sorina Anamaria Ciplea, Nicolaie Lungu   +2 more
doaj   +1 more source

Ulam‐Hyers Stability for Cauchy Fractional Differential Equation in the Unit Disk [PDF]

Abstract and Applied Analysis, 2012
We prove the Ulam‐Hyers stability of Cauchy fractional differential equations in the unit disk for the linear and non‐linear cases. The fractional operators are taken in sense of Srivastava‐Owa operators.
openaire   +4 more sources

Interventions in Corruption Dynamics: A Computational Analysis With a Piecewise‐Modified Fractional‐Order Derivative

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
Corruption behaves like a social contagion that evolves through interaction, influence, and institutional memory. To capture this complexity, we develop a deterministic corruption‐transmission model governed by a piecewise fractional framework that combines the Caputo and modified Atangana–Baleanu–Caputo (mABC) derivatives. This dual‐operator structure
Mati Ur Rahman, Refka Ghodhbani, Mehmet Yavuz, Saira Tabassum, Deepali   +4 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

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

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

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