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9 September 2025
Axioms | Hot Papers in the “Mathematical Analysis” Section

“Mathematical Analysis” is a Section of the journal Axioms (ISSN: 2075-1680), which publishes original papers of high scientific value in all fields of classical and modern analysis, with a focus on original work that addresses significant problems in pure and applied nonlinear analysis. You are welcome to read and share the following papers for free. We hope they will be helpful for your research.

1. “On a Generic Fractional Derivative Associated with the Riemann–Liouville Fractional Integral”
by Yuri Luchko
Axioms 2024, 13(9), 604; https://doi.org/10.3390/axioms13090604
Available online: https://www.mdpi.com/2075-1680/13/9/604

2. “Blow Up of Solutions to Wave Equations with Combined Logarithmic and Power-Type Nonlinearities”
by Milena Dimova, Natalia Kolkovska and Nikolai Kutev
Axioms 2024, 13(10), 709; https://doi.org/10.3390/axioms13100709  
Available online: https://www.mdpi.com/2075-1680/13/10/709

3. “A Global Method for Approximating Caputo Fractional Derivatives—An Application to the Bagley–Torvik Equation”
by Maria Carmela De Bonis and Donatella Occorsio
Axioms 2024, 13(11), 750; https://doi.org/10.3390/axioms13110750
Available online: https://www.mdpi.com/2075-1680/13/11/750

4. “A New Nonlinear Integral Inequality with a Tempered Ψ–Hilfer Fractional Integral and Its Application to a Class of Tempered Ψ–Caputo Fractional Differential Equations”
by Milan Medved’, Michal Pospíšil and Eva Brestovanská
Axioms 2024, 13(5), 301; https://doi.org/10.3390/axioms13050301  
Available online: https://www.mdpi.com/2075-1680/13/5/301

5. “Fixed Point Theorems for Set-Valued Contractions in Metric Spaces”
by Seong-Hoon Cho
Axioms 2024, 13(2), 86; https://doi.org/10.3390/axioms13020086  
Available online: https://www.mdpi.com/2075-1680/13/2/86

6. “On the Kantorovich Theory for Nonsingular and Singular Equations”
by Ioannis K. Argyros, Santhosh George, Samundra Regmi and Michael I. Argyros
Axioms 2024, 13(6), 358; https://doi.org/10.3390/axioms13060358  
Available online: https://www.mdpi.com/2075-1680/13/6/358

7. “Improving Realism of Facial Interpolation and Blendshapes with Analytical Partial Differential Equation-Represented Physics”
by Sydney Day, Zhidong Xiao, Ehtzaz Chaudhry, Matthew Hooker, Xiaoqiang Zhu, Jian Chang, Andrés Iglesias, Lihua You and Jianjun Zhang
Axioms 2024, 13(3), 185; https://doi.org/10.3390/axioms13030185  
Available online: https://www.mdpi.com/2075-1680/13/3/185

8. “A Meshless Radial Point Interpolation Method for Solving Fractional Navier–Stokes Equations”
by Arman Dabiri, Behrouz Parsa Moghaddam, Elham Taghizadeh and Alexandra Galhano
Axioms 2024, 13(10), 695; https://doi.org/10.3390/axioms13100695
Available online: https://www.mdpi.com/2075-1680/13/10/695

9. “Time-Domain Fractional Behaviour Modelling with Rational Non-Singular Kernels”
by Jocelyn Sabatier and Christophe Farges
Axioms 2024, 13(2), 99; https://doi.org/10.3390/axioms13020099
Available online: https://www.mdpi.com/2075-1680/13/2/99

10. “Nonlocal Extensions of First Order Initial Value Problems”
by Ravi Shankar
Axioms 2024, 13(8), 567; https://doi.org/10.3390/axioms13080567  
Available online: https://www.mdpi.com/2075-1680/13/8/567

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