AIMS Mathematics Open Access Editor-in-Chief: Alain Miranville
Home AIMS Mathematics All Issues Volume 11 Issue 2
Volume 11 Issue 2, February 2026
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PP. 3142-5282
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91 articles
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Research Article | Open Access
Analyzing the existence, uniqueness, and stability of solutions to boundary value problems involving a generalized fractional derivative
Ricardo Almeida, Natália Martins
Published: 02 February 2026
2026, 11(2): 3142-3159
Research Article | Open Access
Subalgebra lattices of algebras determined by two unary relations and an equivalence relation
Worakrit Supaporn, Passawan Noppakaew
Published: 02 February 2026
2026, 11(2): 3160-3170
Research Article | Open Access
Certain novel generalized subclasses of uniformly starlike and convex functions: coefficient characterizations and inclusion properties through Bessel and Gaussian hypergeometric functions
Muhammad Imran Faisal, Maslina Darus, Georgia Irina Oros
Published: 02 February 2026
2026, 11(2): 3171-3192
Research Article | Open Access
Bilinear feature-enhanced symbolic computation neural network method for solving the (1+1)-dimensional Caudrey–Dodd–Gibbon equation
Xia Li, Jianglong Shen, Jingbin Liang, Yu Gao
Published: 02 February 2026
2026, 11(2): 3193-3218
Editorial | Open Access
Special Issue: Advances in Probability Distributions and Social Science Statistics
Emilio Gómez–Déniz
Published: 02 February 2026
2026, 11(2): 3219-3220
Research Article | Open Access
Data-driven neural network dynamics for customer behavior modeling and personalized E-commerce marketing
Long Li, Yuanyuan Jiang
Published: 02 February 2026
2026, 11(2): 3221-3242
Research Article | Open Access
Error-control B-spline Gaussian collocation PDE software with event detection
Jack Pew, Connor Tannahill, Paul Muir
Published: 03 February 2026
2026, 11(2): 3243-3268
Editorial | Open Access
Special issue "Mathematical Foundations of Information Theory"
Igal Sason
Published: 03 February 2026
2026, 11(2): 3269-3274
Research Article | Open Access
Oscillation of functional differential equations with a delayed damping term: Enhanced criteria and numerical simulation
Ahmed S. Almohaimeed, Osama Moaaz
Published: 03 February 2026
2026, 11(2): 3275-3289
Research Article | Open Access
Neural network dynamics for modeling competency development trajectories in complex social-educational systems
Yue Li
Published: 03 February 2026
2026, 11(2): 3290-3313
Research Article | Open Access
Precaching vehicle selection based on soft actor-critic in CIoV
Youngju Nam, Yongje Shin, Hyeonseok Choi, Euisin Lee
Published: 03 February 2026
2026, 11(2): 3314-3348
Research Article | Open Access
Quasi-idempotent graphs of rings
Shifeng Luo
Published: 04 February 2026
2026, 11(2): 3349-3366
Research Article | Open Access
Pullback attractors and statistical solutions for the lattice Zakharov equations on time-dependent spaces
Anran Li, Caidi Zhao, Tomás Caraballo
Published: 04 February 2026
2026, 11(2): 3367-3393
Research Article | Open Access
A new analysis of isoparametric bilinear finite volume element scheme based on trapezoidal rule for anisotropic diffusion problems
Shengying Mu, Yanhui Zhou
Published: 04 February 2026
2026, 11(2): 3394-3424
Research Article | Open Access
A non-parametric test of homogeneity for umbrella ordering alternative based on an isotonic estimators
Jianling Zhang
Published: 05 February 2026
2026, 11(2): 3425-3440
Research Article | Open Access
Existence of positive solutions for a class of nonlinear elliptic equations with Hardy potential
Linlin Wang, Jingjing Liu, Yonghong Fan
Published: 05 February 2026
2026, 11(2): 3441-3463
Research Article | Open Access
Multi-mixed sub-fractional Brownian motion and Ornstein–Uhlenbeck processes
Foad Shokrollahi, Tommi Sottinen, Mounir Zili
Published: 05 February 2026
2026, 11(2): 3464-3498
Research Article | Open Access
Regions of variability for generalized Janowski functions
Bilal Khan, Fairouz Tchier, Manuela Oliveira
Published: 05 February 2026
2026, 11(2): 3499-3511
Research Article | Open Access
The Steiner antipodal number of zero-divisor graphs of finite commutative rings
Gurusamy Rajendran, Sankari Alias Deepa Ramamoorthy, Arockiaraj Sonasalam, Grienggrai Rajchakit
Published: 05 February 2026
2026, 11(2): 3512-3533
Research Article | Open Access
An improved aphid optimization algorithm with soft thresholding
Renyun Liu, Helei Kang, Rui Bao, [...], Siyi Gong, Yifei Yao, Yang Wu << Fewer
Published: 05 February 2026
2026, 11(2): 3534-3559
Editorial | Open Access
Special issue "Advances in Partial Differential Equations: Theory, Methods and Applications"
Giuseppe Di Fazio, Maria Stella Fanciullo, Pietro Zamboni, Antonino Morassi
Published: 05 February 2026
2026, 11(2): 3560-3562
Research Article | Open Access
A multivariate discrete Wiener range distribution with truncation: Theory, reliability properties, and applications to constrained financial markets
Sana Abdulkream Alharbi, Mohamed Abd Allah El-Hadidy
Published: 05 February 2026
2026, 11(2): 3563-3593
Research Article | Open Access
A nonconvex total variational model for the joint image segmentation and restoration of images corrupted by Rician noise
Myeongmin Kang
Published: 06 February 2026
2026, 11(2): 3594-3635
Research Article | Open Access
Recurrence and transience for infinite dimensional hypercube
Nan Fan, Caishi Wang, Jijun Zhao
Published: 06 February 2026
2026, 11(2): 3636-3646
Research Article | Open Access
Graph aware adaptive tracking-error optimization with wavelet-principal component analysis features and proportional-integral control (GATE-WPCA-PI)
Muhammad Hilal Alkhudaydi, Yehya M. Althobaity
Published: 06 February 2026
2026, 11(2): 3647-3702
Research Article | Open Access
Variable convergence rate fuzzy control of chaotic Chua's circuit under impulsive and stochastic disturbances
Yining Zhang, Xinran Li, Tinglin Zhang, Huasheng Zhang
Published: 06 February 2026
2026, 11(2): 3703-3723
Research Article | Open Access
Applications of differential Kreb algebras in security protocol analysis
Ghulam Muhiuddin, Nabilah Abughazalah, Manivannan Balamurugan
Published: 06 February 2026
2026, 11(2): 3724-3746
Editorial | Open Access
Special issue "Variational and topological analysis: methods and applications"
Calogero Vetro, Shengda Zeng
Published: 06 February 2026
2026, 11(2): 3747-3749
Research Article | Open Access
Investigation of remainder terms in the ergodic distribution and moments of a renewal-reward process with heavy-tailed demand
Aslı Bektaş Kamışlık
Published: 09 February 2026
2026, 11(2): 3750-3771
Research Article | Open Access
Poisson quasi-Lindley and Poisson-new XLindley univariate and bivariate models: derivation techniques and automobile insurance applications
Maria Vardaki, Haralambos Papageorgiou
Published: 09 February 2026
2026, 11(2): 3772-3810
Research Article | Open Access
Periodic solutions and asymptotic properties of first order linear nonhomogeneous neutral delay differential equations
Ali Fuat Yeniçerioğlu, Vildan Yazıcı, Cüneyt Yazıcı
Published: 09 February 2026
2026, 11(2): 3811-3838
Review | Open Access
Mathematical and computational perspectives on next-generation neural networks for sign language recognition: A systematic review of advances, challenges, and assistive applications
Yahia Said, Mohammad Barr, Yazan A. Alsariera, Ahmed A. Alsheikhy
Published: 09 February 2026
2026, 11(2): 3839-3902
Research Article | Open Access
Non-uniform bounds in normal approximation for descent and inversion
Natthapol Dejtrakulwongse, Kritsana Neammanee, Suporn Jongpreechaharn
Published: 09 February 2026
2026, 11(2): 3903-3919
Research Article | Open Access
Color image denoising under mixed multiplicative and Gaussian noise via group-sparse representation and SVTV regularization
Miyoun Jung
Published: 09 February 2026
2026, 11(2): 3920-3956
Research Article | Open Access
Topological analysis with some techniques for solving a fractional tsunami shallow water mathematical model-based on Hausdorff–locally compact structures and their analytical implications
Faten H. Damag, Fozaiyah Alhubairah, Maryam F. Alshammari, [...], Khaled M. Saad, Adem Kiliçman, Amin Saif, Najah Alshammari << Fewer
Published: 09 February 2026
2026, 11(2): 3957-3985
Research Article | Open Access
Analytically pricing European options under a two-factor Heston-Vasicek model with regime switching and stochastic interest rate
Xin-Jiang He, Sha Lin
Published: 09 February 2026
2026, 11(2): 3986-4007
Research Article | Open Access
An innovative perspective on fractional inequalities through fractional operators and extended convexity
Muhammad Imran, Ahsan Mehmood, Shahid Mubeen, [...], Muhammad Samraiz, Ishtiaq Ali << Fewer
Published: 09 February 2026
2026, 11(2): 4008-4042
Research Article | Open Access
Simultaneous confidence intervals for all pairwise differences of coefficients of variation of zero-inflated Birnbaum–Saunders distributions
Usanee Janthasuwan, Suparat Niwitpong, Sa-Aat Niwitpong
Published: 09 February 2026
2026, 11(2): 4043-4067
Research Article | Open Access
A variant of the Sylvester–Kac matrix which exhibits subsets of integer squared singular values for all orders
Abdullah Alazemi, Tim Hopkins, Emrah Kılıç
Published: 10 February 2026
2026, 11(2): 4068-4081
Research Article | Open Access
Entropic inversion of Fourier transforms with incomplete data
Cécile Gauthier-Umaña, Valérie Gauthier-Umaña, Henryk Gzyl, Enrique ter Horst
Published: 10 February 2026
2026, 11(2): 4082-4097
Research Article | Open Access
Electronic implementation of a new secure communication system based on the Lü hyperchaotic system
Fadia Zouad, Manal Messadi, Karim Kemih, [...], Ahmad Taher Azar, Saim Ahmed, Ahmed Redha Mahlous << Fewer
Published: 10 February 2026
2026, 11(2): 4098-4122
Research Article | Open Access
Distributed stochastic optimization algorithm based on Markov sampling
Hao Zan, Dan Chen
Published: 10 February 2026
2026, 11(2): 4123-4146
Research Article | Open Access
Mathematical model of Mpox: assessing the impact of early therapeutic education on seasonal variation
Mohammed M Al-Shomrani, Abdullahi Yusuf
Published: 10 February 2026
2026, 11(2): 4147-4199
Research Article | Open Access
Lie group structures and novel soliton solutions of the nonlinear mathematical model
Harun Biçer
Published: 10 February 2026
2026, 11(2): 4200-4219
Research Article | Open Access
Research on post-equalization technology of a visible light communication system based on improved LSTM model and FPGA
Ke Xiong
Published: 10 February 2026
2026, 11(2): 4220-4242
Research Article | Open Access
Fuzzy GE-norms and fuzzy normed GE-algebras
Amal S. Alali, Ravi Kumar Bandaru, Seok-Zun Song, Young Bae Jun
Published: 11 February 2026
2026, 11(2): 4243-4262
Research Article | Open Access
On the multivalued ρ ∗ -interpolative contractions in fuzzy metric spaces with application to nonlinear matrix equations
Müzeyyen Sangurlu Sezen, Mohammed Jasim Mohammed, Sina Etemad, Jessada Tariboon
Published: 11 February 2026
2026, 11(2): 4263-4282
Research Article | Open Access
Rough statistical convergence for double sequences in L-fuzzy normed spaces
Aykut OR, Ahmet Çakı
Published: 12 February 2026
2026, 11(2): 4283-4298
Research Article | Open Access
Helices with F-constant vector fields in the Euclidean space E 4
Derya Sağlam, Umut Selvi, Faik Babadağ, Ali Atasoy
Published: 12 February 2026
2026, 11(2): 4299-4334
Research Article | Open Access
Study on stability and information sharing sensitivity in blockchain diffusion dynamics with the fractional-order delayed SEIR model
Peng Wan, Shujian Ma, Yuaoran Liu, [...], Jiangwen Ju, Sumei Pan, Jun Wang, Minyi Xu << Fewer
Published: 12 February 2026
2026, 11(2): 4335-4368
Research Article | Open Access
Bayesian estimation and prediction of Weibull current records with application to Saudi industrial data
Ramy Abdelhamid Aldallal
Published: 12 February 2026
2026, 11(2): 4369-4394
Research Article | Open Access
Boundedness and asymptotic behavior of a prey-taxis model with modified Leslie-Gower and hunting cooperation
Weibo Lin, Lu Xu
Published: 12 February 2026
2026, 11(2): 4395-4414
Research Article | Open Access
Optimal control of a class of semilinear fractional elliptic equations
Cyrille Kenne, Gisèle Mophou, Mahamadi Warma
Published: 12 February 2026
2026, 11(2): 4415-4444
Research Article | Open Access
Some reverse dynamic inequalities of Hilbert-type using mean inequality
Elkhateeb S. Aly, Said Bourazza, Sultanah Masmali, Ahmed I. Saied
Published: 12 February 2026
2026, 11(2): 4445-4464
Research Article | Open Access
Noise-induced modulation of solitary waves in the nonlinear Maccari system
Theyab Alrashdi
Published: 13 February 2026
2026, 11(2): 4465-4478
Research Article | Open Access
Mixed exponentially weighted moving average – double moving average control chart base on sign statistic and its applications
Weerawat Sudsutad, Yupaporn Areepong, Saowanit Sukparungsee
Published: 13 February 2026
2026, 11(2): 4479-4521
Research Article | Open Access
On the p-arithmetic-mean norm of operator pairs and its applications
Feryal Aladsani, Asmahan Alajyan, Silvestru Sever Dragomir, Kais Feki
Published: 13 February 2026
2026, 11(2): 4522-4538
Research Article | Open Access
Filippov-type existence theorems for q-fractional differential inclusions with nonlinear q-integral conditions in Banach spaces
Taher S. Hassan, Ali Rezaiguia, Loredana Florentina Iambor, Ismoil Odinaev
Published: 13 February 2026
2026, 11(2): 4539-4556
Research Article | Open Access
Self-normalized Cramér moderate deviations for a supercritical Galton-Waston process with immigration in random environments
Juan Wang, Wanlu Xiao
Published: 24 February 2026
2026, 11(2): 4557-4570
Research Article | Open Access
On Jordan σ-centralizers and related linear maps in algebras
Nura Alotaibi
Published: 24 February 2026
2026, 11(2): 4571-4585
Research Article | Open Access
Generalized existence and uniqueness results for nonlinear Caputo fractional boundary value problems
Saleh Fahad Aljurbua
Published: 25 February 2026
2026, 11(2): 4586-4595
Research Article | Open Access
A Neutrosophic soft topological framework for insecure intelligent decision applications
Samer R. Yaseen, Noura M. Alhouiti
Published: 25 February 2026
2026, 11(2): 4596-4616
Research Article | Open Access
Pessimistic multigranulation reduction of partially labeled generalized neighborhood decision information systems based on related family and matrix
Yan-Lan Zhang, Chang-Qing Li
Published: 26 February 2026
2026, 11(2): 4617-4633
Research Article | Open Access
Properties for some Cegrell classes of m-subharmonic function
Jawhar Hbil, Mofareh Alhazmi, Mohamed Zaway
Published: 26 February 2026
2026, 11(2): 4634-4655
Research Article | Open Access
Normalized solutions for a kind of mass–supercritical Schrödinger–Choquard equations
Xingwen Chen, Qiongfen Zhang
Published: 26 February 2026
2026, 11(2): 4656-4680
Research Article | Open Access
Existence and uniqueness theorems for solutions to Caputo fractional differential equations with nonlocal and irregular boundary conditions
Saleh Fahad Aljurbua, Salman Alotaibi
Published: 26 February 2026
2026, 11(2): 4681-4690
Research Article | Open Access
A numerical LP-Newton method for solving linear programming using separating hyperplanes
Yuki Matsuno
Published: 26 February 2026
2026, 11(2): 4691-4704
Research Article | Open Access
Analysis of the physicochemical properties of cancer treatment drugs using an innovative approach: modified reverse degree-based topological descriptors
Fairouz Tchier, Abdul Rauf Khan, Danish Ishaq, Yilun Shang
Published: 26 February 2026
2026, 11(2): 4705-4738
Research Article | Open Access
Generalized fractal measures on Cartesian products: Critical cases and multidimensional Cantor sets
Rihab Guedri, Najmeddine Attia
Published: 26 February 2026
2026, 11(2): 4739-4758
Research Article | Open Access
A new mini-batch negative momentum proximal stochastic variance reduction method for nonconvex optimization
Weihao Cui, Chongyang He, Mingyuan Cao, Yueting Yang
Published: 26 February 2026
2026, 11(2): 4759-4786
Research Article | Open Access
Spectral radius of biased random walks on regular trees
He Song, Meng Liu
Published: 27 February 2026
2026, 11(2): 4787-4804
Research Article | Open Access
Ultraspherical spectral collocation method for two-dimensional tempered space-fractional Zeldovich–Frank–Kamenetskii equations with exponential nonlinearities
M.A. Zaky, M.Z. Youssef, A. Al Kenany, S.S. Ezz-Eldien
Published: 27 February 2026
2026, 11(2): 4805-4817
Research Article | Open Access
Threshold dynamics in a within-host infection model with Crowley–Martin functional response considering periodic effects
Ibrahim Nali, Attila Dénes
Published: 27 February 2026
2026, 11(2): 4818-4836
Research Article | Open Access
A new weighted infected-block M-matrix method for extinction thresholds in a stochastic Itô-Lévy HIV/AIDS model with real-data validation
Yassine Sabbar, Saud Fahad Aldosary
Published: 27 February 2026
2026, 11(2): 4837-4871
Research Article | Open Access
Generalized derivations and quasi derivations of current Hom- Lie algebras
Omaima Alshanqiti, Ashutosh Pandey, Mani Shankar Pandey
Published: 27 February 2026
2026, 11(2): 4872-4889
Research Article | Open Access
P 5 -factors in line graphs of trees
Yuan Chen, Chi Fan, Pei Sun
Published: 27 February 2026
2026, 11(2): 4890-4901
Research Article | Open Access
Extending LSB-based partial key exposure to RSA with special-structured primes
Priscilla Kyle Payne, Wan Nur Aqlili Ruzai, Amir Hamzah Abd Ghafar, [...], Muhammad Asyraf Asbullah, Muhammad Rezal Kamel Ariffin << Fewer
Published: 27 February 2026
2026, 11(2): 4902-4934
Research Article | Open Access
A generalized self-regular Kernel function for large-scale nonlinear optimization problems
Mounia Laouar, Mahmoud Brahimi, Raouf Ziadi, [...], Mohammed A. Saleh, Abdulgader Z. Almaymuni, Benmessaoud Chahinez << Fewer
Published: 27 February 2026
2026, 11(2): 4935-4965
Research Article | Open Access
Lifespan of the non-resistive Hall-MHD system with small magnetic gradient
Linbin Yang, Taoran Zhou
Published: 27 February 2026
2026, 11(2): 4966-4984
Research Article | Open Access
Maximal bond incident degree index for trees and unicyclic graphs with fixed diameter
Zhenhua Su
Published: 27 February 2026
2026, 11(2): 4985-5005
Research Article | Open Access
Thermal and solutal boundary layer of a third grade Ellis fluid over a vertical cylinder with cross-diffusion and reaction effects
Nadeem Abbas, Wasfi Shatanawi
Published: 27 February 2026
2026, 11(2): 5006-5028
Research Article | Open Access
Echo whale optimization-based incentive learning: A bidirectional long short-term memory model for intrusion detection in wireless networks
Afnan M. Alhassan, Nouf I. Altmami
Published: 27 February 2026
2026, 11(2): 5062-5091
Research Article | Open Access
Bounds for stop-loss distance of generalized multinomial model of random sum via Stein's method
Punyapat Kammoo, Kritsana Neammanee, Kittipong Laipaporn
Published: 27 February 2026
2026, 11(2): 5092-5119
Research Article | Open Access
Blowup dynamics for the Euler-Smoluchowski-Poisson equation: Quantized collapse and subvortex interactions
Elio Espejo, Takashi Suzuki
Published: 27 February 2026
2026, 11(2): 5120-5151
Research Article | Open Access
Hybrid feature selection techniques using automatic modification
Sunyoung Bu, Inmi Kim
Published: 27 February 2026
2026, 11(2): 5152-5171
Research Article | Open Access
FCA-YOLO: A small object detection method based on feature attention fusion for UAV remote sensing images
Qiming Li, Yonghui Yan, Shaohui Lan
Published: 28 February 2026
2026, 11(2): 5172-5191
Research Article | Open Access
The edge balance properties of cubic graphs
Zhen-Bin Gao, Juan Chen, Feng-Xia Chen, Feng Liang
Published: 28 February 2026
2026, 11(2): 5192-5218
Research Article | Open Access
An Artinian version of the Artin-Rees lemma and duality
İsmail Hakkı Denizler
Published: 28 February 2026
2026, 11(2): 5219-5230
Research Article | Open Access
Combinatorial correspondences between colored partitions by Dedekind's level 8 partition identities
Ahmer Ali, Arooj Fatima, Fatemah Mofarreh, [...], Wedad Albalawi, Aishah Alshehri, Muhammad Hanif << Fewer
Published: 28 February 2026
2026, 11(2): 5231-5245
Research Article | Open Access
An operational treatment for two-dimensional time-fractional Gray-Scott models
Samer S. Ezz-Eldien, Ali H. Tedjani, Amra Al Kenany, Marwa Alzubaidi
Published: 28 February 2026
2026, 11(2): 5246-5269
Research Article | Open Access
On smooth numbers of forms ⌊ x n ⌋ and ⌊ x n c ⌋
Yanbo Song
Published: 28 February 2026
2026, 11(2): 5270-5282