Ordinary Differential Equations

Latest research

1. Study of stochastic Lakshmanan–Porsezian–Danial model for optical soliton solutions using machine learning tools

   • Syed T. Rizvi
   • Ibtehal Alazman
   • Aly R. Seadawy

   in The European Physical Journal Plus

   Article 01 July 2026

   

2. Bifurcation analysis and nonlinear dynamics of a diffusion COVID-19 epidemiological model under saturated incidence rate

   • Fan Zhang
   • Wenjie Li
   • Xinzhi Liu

   in Zeitschrift für angewandte Mathematik und Physik

   Article 01 July 2026

   

3. Separation method of semi-fixed variables for solving a generalized time-fractional reaction-diffusion equation

   • Weiguo Rui
   • Chaoling Li
   • Weijun He

   in Fractional Calculus and Applied Analysis

   Article 30 June 2026

   

4. Non-equilibrium steady-state solution in aggregation fragmentation systems with injection: Extended analysis for multi-component systems

   • Farel William Viret Kharchandy
   • Vamsinadh Thota
   • Jitraj Saha

   in Zeitschrift für angewandte Mathematik und Physik

   Article 30 June 2026

   

5. Global smoothing effects for degenerate higher-order Schrödinger equations

   • KyuSong Chae
   • RyoMyong Hong

   in Rendiconti del Circolo Matematico di Palermo Series 2

   Article 30 June 2026

   

6. Classical solutions of a multi-dimensional price formation via mean field games

   • Shun Ishibashi
   • Shigeaki Koike
   • Takahiro Kosugi

   in Nonlinear Differential Equations and Applications NoDEA

   Article 30 June 2026

7. Geodesic deviation to all orders via a tangent bundle formalism

   • Joon-Hwi Kim

   in General Relativity and Gravitation

   Article 30 June 2026

   

8. A numerical study on the variable-order time-fractional generalized Burgers equation via the RBF-HFD method

   • Ziyu Guo
   • Kaysar Rahman
   • Junping Guan

   in Journal of Mathematical Chemistry

   Article 29 June 2026

   

9. Stability, numerical solution and parameter estimation of SEIRVA fractional order model

   • Arjun Prakash
   • Syed Abbas
   • Khaled A. Aldwoah

   in The Journal of Analysis

   Article 29 June 2026

   

10. Dynamics of a modified Leslie–Gower model with additive Allee effect and Beverton-Holt-like function

    • Qing Zhao
    • Ming Zhao

    in Nonlinear Dynamics

    Article 29 June 2026

    

11. Latent delay effects on SIQHR epidemic model with protected human classes under public awareness

    • Fahad Al Basir
    • Aeshah A. Raezah
    • Biru Rajak

    in Journal of Applied Mathematics and Computing

    Article 29 June 2026

    

12. On the stability analysis of a fractional-order predator–prey model with adaptive refuge and harvesting

    • Boukabcha Brahim
    • Kaushik Dehingia
    • Ramy M. Hafez

    in The European Physical Journal Plus

    Article 29 June 2026

    

13. On the quadratic decomposition of q-Dunkl-Appell polynomial sequences

    • Mohamed Khalfallah

    in Periodica Mathematica Hungarica

    Article 27 June 2026

14. Dynamics of Traveling Wave Solutions in a Perturbed Nonlinear Schrödinger Equation with Delay

    • Minzhi Wei
    • Feiting Fan
    • Xinxin Liu

    in Qualitative Theory of Dynamical Systems

    Article 27 June 2026

    

15. A Novel Framework of Fractional Hemivariational Inequalities

    • Xinyi Bo
    • Jing Li
    • Donal O’Regan

    in Complex Analysis and Operator Theory

    Article 26 June 2026

    

16. Advanced Spectral-Operational Frameworks for Fractional and Integer-Order Differential Equations: A Methodological Review

    • Hany Mostafa Ahmed

    in Archives of Computational Methods in Engineering

    Article Open access 26 June 2026

    

17. Finite-Time Stability and Synchronization of a Discrete Glycolysis Reaction-Diffusion Model

    • Shaher Momani
    • Iqbal M. Batiha
    • Adel Ouannas

    in Differential Equations and Dynamical Systems

    Article 26 June 2026

    

18. Parareal method for differential equations with constant time delay

    • Qingyang Si
    • Ou Lan
    • Xiao Ma

    in Calcolo

    Article 25 June 2026

    

19. Multi-Parameter Bifurcation Analysis of a Discrete Ratio-Dependent Predator–Prey Model: Codimension-Two Resonance, Chaos, and Control

    • Lahcen Koujane
    • Hajar Mouhsine
    • Mohamed Ch-Chaoui

    in International Journal of Applied and Computational Mathematics

    Article 25 June 2026

    

20. Existence and multiplicity results for singular elliptic problems with logarithmic source terms and Orlicz growth

    • Salah Boulaaras

    in Boundary Value Problems

    Article Open access 25 June 2026

    

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