This special issue spans the interface of analysis and applied mathematics collecting recent advances in the following topics: Boundedness of integral operators on generalized function spaces, normality in several complex variables, fractional stochastic dynamics, functional inequalities and fixed-point methods, nonlinear waves, generalized thermoelasticity, and models in the life and earth sciences. We identify the four recurring themes and summarize the main results. We also collect some open problems emerging from these contributions.
Citation: J. Alberto Conejero. Special issue "Advances in analysis and applied mathematics"[J]. AIMS Mathematics, 2026, 11(8): 23775-23781. doi: 10.3934/math.2026956
This special issue spans the interface of analysis and applied mathematics collecting recent advances in the following topics: Boundedness of integral operators on generalized function spaces, normality in several complex variables, fractional stochastic dynamics, functional inequalities and fixed-point methods, nonlinear waves, generalized thermoelasticity, and models in the life and earth sciences. We identify the four recurring themes and summarize the main results. We also collect some open problems emerging from these contributions.
| [1] |
Z. A. Khan, W. Afzal, M. Abbas, D. Breaz, L. I. Cotîrlă, Boundedness of truncated Havin–Maz'ya potentials in Herz spaces with applications to $p(\cdot)$-Laplace equations, AIMS Math., 11 (2026), 20677–20710. https://doi.org/10.3934/math.2026841 doi: 10.3934/math.2026841
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| [2] |
G. AlNemer, G. A. Basendwah, M. Sultan, I. L. Popa, Generalizations of Herz-Morrey spaces and boundedness of the Calderón-Zygmund operators, AIMS Math., 10 (2025), 17403–17422. https://doi.org/10.3934/math.2025778 doi: 10.3934/math.2025778
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| [3] |
M. Nasir, S. Ghobber, Variable-order Bessel–Riesz operators and their boundedness on variable Lebesgue spaces, AIMS Math., 11 (2026), 18057–18080. https://doi.org/10.3934/math.2026735 doi: 10.3934/math.2026735
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F. Liu, S. Liu, X. Zhang, Boundedness and continuity of local bilinear maximal commutators on Triebel–Lizorkin spaces and Besov spaces, AIMS Math., 11 (2026), 167–191. https://doi.org/10.3934/math.2026007 doi: 10.3934/math.2026007
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P. Lv, X. Tao, On quantitative weighted bounds for commutators of rough singular integral operators, AIMS Math., 11 (2026), 2111–2130. https://doi.org/10.3934/math.2026087 doi: 10.3934/math.2026087
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J. Shen, J. Yang, $L^p$ boundedness of oscillatory singular integrals with nonstandard kernels, AIMS Math., 11 (2026), 20254–20266. https://doi.org/10.3934/math.2026822 doi: 10.3934/math.2026822
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A. Torresblanca-Badillo, E. A. Bolaño-Benitez, I. Gutiérrez-García, $p$-adic Bochner–Riesz operators and their functional dynamics, AIMS Math., 11 (2026), 18415–18440. https://doi.org/10.3934/math.2026748 doi: 10.3934/math.2026748
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Q. Li, G. Lin, Normal criterion on the polydisc in $\mathbb{C}^n$, AIMS Math., 11 (2026), 10191–10204. https://doi.org/10.3934/math.2026421 doi: 10.3934/math.2026421
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M. Zayed, W. A. Khan, C. S. Ryoo, U. Duran, An exploratory study on bivariate extended $q$-Laguerre-based Appell polynomials with some applications, AIMS Math., 10 (2025), 12841–12867. https://doi.org/10.3934/math.2025577 doi: 10.3934/math.2025577
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M. I. Liaqat, A. Akgül, J. A. Conejero, Analysis of fractional stochastic systems driven by fractional Brownian motion with general memory kernel, AIMS Math., 11 (2026), 1354–1381. https://doi.org/10.3934/math.2026058 doi: 10.3934/math.2026058
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M. Dlala, A. Zaidi, F. Alharbi, Event-triggered impulsive control for exponential stabilization of fractional-order differential system, AIMS Math., 10 (2025), 16551–16569. https://doi.org/10.3934/math.2025741 doi: 10.3934/math.2025741
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| [12] |
S. Etemad, A. Akgül, J. A. Conejero, On the generalized coupled Hadamard-Gronwall-Bellman-type inequalities with applications to fractional delay systems, AIMS Math., 10 (2025), 27954–27984. https://doi.org/10.3934/math.20251228 doi: 10.3934/math.20251228
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D. Filali, M. Akram, M. Dilshad, Exploring the fractional Volterra-Fredholm integro-differential equation: An iterative approach, AIMS Math., 10 (2025), 23467–23495. https://doi.org/10.3934/math.20251042 doi: 10.3934/math.20251042
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| [14] |
W. Guo, Y. Li, X. Zeng, A generalization of affine fractional $L^p$ Sobolev inequalities, AIMS Math., 11 (2026), 22959–22982. https://doi.org/10.3934/math.2026925 doi: 10.3934/math.2026925
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| [15] |
S. Ali, M. Samraiz, S. Trabelsi, H. Zaway, New developments in convex analysis: Harmonically trigonometric $p$-coordinated convex functions and related inequalities, AIMS Math., 10 (2025), 23984–24015. https://doi.org/10.3934/math.20251066 doi: 10.3934/math.20251066
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A. Naseem, R. Hussain, Investigating novel soliton solutions and chaotic structures for the $(3+1)$-dimensional fractional $q$-deformed tanh-Gordon model, AIMS Math., 10 (2025), 17779–17800. https://doi.org/10.3934/math.2025793 doi: 10.3934/math.2025793
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| [17] |
K. Elkhalloufy, M. Menchih, K. Hilal, A. Kajouni, Chaotic dynamics and stability analysis of the Von Foerster–Lasota PDE with conformable space–time derivatives in Orlicz space, AIMS Math., 11 (2026), 6674–6698. https://doi.org/10.3934/math.2026276 doi: 10.3934/math.2026276
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M. F. Ismail, H. M. Ahmed, A. A. El-Bary, H. M. Youssef, I. Samir, Exploration of exact wave solutions for the Lord-Shulman thermo-elasticity theory with temperature dependence using advanced techniques, AIMS Math., 10 (2025), 10806–10830. https://doi.org/10.3934/math.2025491 doi: 10.3934/math.2025491
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| [19] |
K. Alanazi, A. E. Abouelregal, Transient thermoelastic responses in spherical elastic porous media using a fractional two-phase-lag model with space-time nonlocality, AIMS Math., 10 (2025), 12661–12688. https://doi.org/10.3934/math.2025571 doi: 10.3934/math.2025571
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| [20] |
I. Ali, S. Islam, Stability analysis of fractional two-dimensional reaction-diffusion model with applications in biological processes, AIMS Math., 10 (2025), 11732–11756. https://doi.org/10.3934/math.2025531 doi: 10.3934/math.2025531
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| [21] |
M. C. Wu, P. C. Hsieh, Groundwater flow in a two-region aquifer: A 2D analytical solution with recharge forcing, AIMS Math., 11 (2026), 5669–5691. https://doi.org/10.3934/math.2026233 doi: 10.3934/math.2026233
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