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 2023, 11(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 2023, 11(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 2023, 11(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 2024, 12(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 2024, 12(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 2023, 11(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 2024, 12(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 2023, 11(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 2023, 11(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 2023, 11(8), 1919; https://doi.org/10.3390/math11081919
Full text available online: https://www.mdpi.com/2227-7390/11/8/1919