28 August 2025
Mathematics | Top 10 Highly Viewed Papers Published in 2023–2024 in the “Difference and Differential Equations” Section


We would like to invite you to explore the top 10 highly viewed papers in 2023 and 2024 from the “Difference and Differential Equations” Section of Mathematics (ISSN: 2227-7390). These papers have been carefully selected for their exceptional quality and relevance and represent cutting-edge research in difference and differential equations.

1. “General Stability for the Viscoelastic Wave Equation with Nonlinear Time-Varying Delay, Nonlinear Damping and Acoustic Boundary Conditions”
by Mi Jin Lee and Jum-Ran Kang
Mathematics 202311(22), 4593; https://doi.org/10.3390/math11224593
Full text available online: https://www.mdpi.com/2227-7390/11/22/4593

2. “A Deep Learning Optimizer Based on Grünwald–Letnikov Fractional Order Definition”
by Xiaojun Zhou, Chunna Zhao and Yaqun Huang
Mathematics 202311(2), 316; https://doi.org/10.3390/math11020316
Full text available online: https://www.mdpi.com/2227-7390/11/2/316

3. “Analytical Solutions to the Chavy-Waddy–Kolokolnikov Model of Bacterial Aggregates in Phototaxis by Three Integration Schemes”
by Alejandro León-Ramírez, Oswaldo González-Gaxiola and Guillermo Chacón-Acosta
Mathematics 202311(10), 2352; https://doi.org/10.3390/math11102352
Full text available online: https://www.mdpi.com/2227-7390/11/10/2352

4. “Mathematics of Epidemics: On the General Solution of SIRVD, SIRV, SIRD, and SIR Compartment Models”
by Reinhard Schlickeiser and Martin Kröger
Mathematics 202412(7), 941; https://doi.org/10.3390/math12070941
Full text available online: https://www.mdpi.com/2227-7390/12/7/941

5. “A New Two-Step Hybrid Block Method for the FitzHugh–Nagumo Model Equation”
by Mufutau Ajani Rufai, Athinoula A. Kosti, Zacharias A. Anastassi and Bruno Carpentieri
Mathematics 202412(1), 51; https://doi.org/10.3390/math12010051
Full text available online: https://www.mdpi.com/2227-7390/12/1/51

6. “A Novel ANN-Based Radial Basis Function Collocation Method for Solving Elliptic Boundary Value Problems”
by Chih-Yu Liu and Cheng-Yu Ku
Mathematics 202311(18), 3935; https://doi.org/10.3390/math11183935
Full text available online: https://www.mdpi.com/2227-7390/11/18/3935

7. “Multiplicity of Normalized Solutions for the Fractional Schrödinger Equation with Potentials”
by Xue Zhang, Marco Squassina and Jianjun Zhang
Mathematics 202412(5), 772; https://doi.org/10.3390/math12050772
Full text available online: https://www.mdpi.com/2227-7390/12/5/772

8. “Integro-Differential Boundary Conditions to the Sequential -Hilfer and -Caputo Fractional Differential Equations”
by Surang Sitho, Sotiris K. Ntouyas, Chayapat Sudprasert and Jessada Tariboon
Mathematics 202311(4), 867; https://doi.org/10.3390/math11040867
Full text available online: https://www.mdpi.com/2227-7390/11/4/867

9. “A Systematic Approach to Delay Functions”
by Christopher N. Angstmann, Stuart-James M. Burney, Bruce I. Henry, Byron A. Jacobs and Zhuang Xu
Mathematics 202311(21), 4526; https://doi.org/10.3390/math11214526
Full text available online: https://www.mdpi.com/2227-7390/11/21/4526

10. “Delays and Exposed Populations in Infection Models”
by Benito Chen-Charpentier
Mathematics 202311(8), 1919; https://doi.org/10.3390/math11081919
Full text available online: https://www.mdpi.com/2227-7390/11/8/1919

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