A Comparative Analysis of the Fractional-Order Coupled Korteweg–De Vries Equations with the Mittag–Leffler Law by Noufe H. Aljahdaly, Ali Akgül, Rasool Shah, Ibrahim Mahariq, Jeevan Kafle

“…This article applies efficient methods, namely, modified decomposition method and new iterative transformation method, to analyze a nonlinear system of Korteweg–de Vries equations with the Atangana–Baleanu fractional derivative. …”
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Numerical Investigation of the Time-Fractional Whitham–Broer–Kaup Equation Involving without Singular Kernel Operators by Kamsing Nonlaopon, Muhammad Naeem, Ahmed M. Zidan, Rasool Shah, Ahmed Alsanad, Abdu Gumaei

“…This paper aims to implement an analytical method, known as the Laplace homotopy perturbation transform technique, for the result of fractional-order Whitham–Broer–Kaup equations. …”
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Analysis of the Fuzzy Fractional-Order Solitary Wave Solutions for the KdV Equation in the Sense of Caputo-Fabrizio Derivative by Muhammad Naeem, Hadi Rezazadeh, Ahmed A. Khammash, Rasool Shah, Shamsullah Zaland

“…We apply the iterative method and the Laplace transform under the fractional Caputo-Fabrizio operator. …”
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An innovative q-homotopy analysis approach for solving generalized q-fractional non-linear biological population model by Khalid K. Ali, Ahmed S. Shehata, Mohamed S. Mohamed, Turki J. Alqurashi, M. Maneea

“…This paper presents an innovative approach for solving the generalized q-fractional non-linear biological population model through synthesis of a semi-analytical technique called the q-homotopy analysis method (qHAM). …”
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Fundamental solution of the time-space bi-fractional diffusion equation with a kinetic source term for anomalous transport by Anis Allagui, Georgii Paradezhenko, Anastasiia Pervishko, Dmitry Yudin, Hachemi Benaoum

“…Using the Laplace-Fourier transforms method, it is shown that the parametric solutions are expressed in terms of the Fox’s H-function that we evaluate for different values of $$\alpha$$ α and $$\beta$$ β .…”
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Exploring the Dynamics of Fractional q-Integro-Differential Equations with Infinite Time Delays: A Study in Mathematical Analysis by Shami A. M. Alsallami, K. R. Raslan, E. M. Khalil, S. Abdel-Khalek, Amira Abd-Elall Ibrahim, Khalid K. Ali

“…By combining the finite difference approach with the trapezoidal method, the equation is transformed into a system of algebraic equations that can be efficiently solved. …”
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Application of Biochar on Soil Improvement and Speciation Transformation of Heavy Metal in Constructed Wetland by Yuan Zhou, Xiaoqin Nie, Yao Zhao, Liqiu Zhang, Yatian Cheng, Cancan Jiang, Wenbin Zhao, Xiangchun Wang, Chao Yang

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Analytical Approximate Solutions of Caputo Fractional KdV-Burgers Equations Using Laplace Residual Power Series Technique by Aliaa Burqan, Mona Khandaqji, Zeyad Al-Zhour, Ahmad El-Ajou, Tasneem Alrahamneh

“…The main tools of this method are the Laplace transform, Laurent series, and residual function. …”
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Study of the parametric effect of the wave profiles of the time-space fractional soliton neuron model equation arising in the topic of neuroscience by Md. Nur Alam, Md. Azizur Rahman

“…To investigate these soliton solutions, nonlinear fractional differential equations (NLFDEs) are transformed into corresponding partial differential equations (PDEs) using a fractional complex transform (FCT). …”
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Design concept and phase transformation study of advanced bainitic-austenitic medium-Mn steel by Anna Wojtacha, Aleksandra Kozłowska, Adam Skowronek, Oguz Gulbay, Jarosław Opara, Alexander Gramlich, Krzysztof Matus

“…The quantitative analysis of individual microstructural constituents is performed based on the differences in diffraction pattern quality using the deep learning (DL) evaluation method and compared with the results of X-ray diffraction (XRD) measurements. …”
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Fractional dual phase-lag Model for Vibration analysis of a generalized nonlocal thermoelastic microbeam based on a Pasternak foundation by Adam Zakria, Ahmed Yahya, Eshraga Salih, Abdelgabar Adam Hassan, Shams A. Ahmed, Ibrahim-Elkhalil Ahmed, Hamdy M. Barakat

“…The governing equations were solved using the Laplace transform method, and the distributions of the temperature, moment, and displacement deflection were calculated and presented graphically. …”
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Fractional Moore–Gibson–Thompson Heat Conduction for Vibration Analysis of Non-Local Thermoelastic Micro-Beams on a Viscoelastic Pasternak Foundation by Yahya Ahmed, Adam Zakria, Osman Abdalla Adam Osman, Muntasir Suhail, Mohammed Nour A. Rabih

“…The temperature, bending displacement, and moment were computed and graphically displayed using the Laplace transform method. Different theoretical approaches have been compared in order to explain how the phase delay affects physical phenomena. …”
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Preparation of bainite phase microstructure by laser-electromagnetic induction hybrid solid-state phase transformation by Qunli Zhang, Lian You, Yi Yu, Zhijun Chen, Wenjian Wang, Mykola Anyakin, Jianhua Yao

“…In this paper, the surface heat treatment of 42CrMo steel is carried out by using a laser heat source to achieve complete austenitization, then with electromagnetic induction heating for several times to implement insulation, and eventually to promote bainite phase transformation. In conjunction with the temperature history curves, OM, SEM, and EBSD are used to characterize the bainite morphology and percentage of bainite via different parameters of the hybrid process. …”
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Estimating Leaf Chlorophyll Fluorescence Parameters Using Partial Least Squares Regression with Fractional-Order Derivative Spectra and Effective Feature Selection by Jie Zhuang, Quan Wang

“…We developed a data-driven partial least squares regression (PLSR) model by integrating fractional-order derivative (FOD) spectral transformation with multiple feature selection methods to predict ChlF parameters. …”
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Levels of angiogenesis markers in patients with different heart failure phenotypes by R. N. Shepel, O. M. Drapkina

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Over 60% precipitation transformed into terrestrial water storage in global river basins from 2002 to 2021 by Yulong Zhong, Baoming Tian, Hyunglok Kim, Xing Yuan, Xinyue Liu, Enda Zhu, Yunlong Wu, Lunche Wang, Lizhe Wang

“…Here we address this by introducing a quantitative metric, average daily fraction of precipitation transformed into terrestrial water storage, providing an important advancement into the dynamics of water storage by utilizing the enhanced terrestrial water storage statistical reconstruction method and water storage data from the Gravity Recovery and Climate Experiment satellites and their follow-on mission. …”
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Multicriteria Optimization of Language Models for Heart Failure With Preserved Ejection Fraction Symptom Detection in Spanish Electronic Health Records: Comparative Modeling Study by Jacinto Mata, Victoria Pachón, Ana Manovel, Manuel J Maña, Manuel de la Villa

“…This study proposes and evaluates a Transformer-based natural language processing framework for automated detection of HFpEF-related symptoms in Spanish EHRs. …”
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Modelling and analysis of transformers considering ultra‐wide band frequency‐dependent parameters for high altitude electromagnetic pulse by Han Wu, Nan Zhang, Jinhua Du, Junna Li, Shuai Dong, Zitao Lv

“…The proposed MTL model is solved by the finite‐difference time‐domain algorithm and verified by the finite element method and experiment. …”
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Dynamics of Abundant Wave Solutions to the Fractional Chiral Nonlinear Schrodinger’s Equation: Phase Portraits, Variational Principle and Hamiltonian, Chaotic Behavior, Bifurcation... by Yu Tian, Kang-Hua Yan, Shao-Hui Wang, Kang-Jia Wang, Chang Liu

“…Combined with the semi-inverse method (SIM) and traveling wave transformation, we establish the variational principle (VP). …”
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From deformation twinning to α'' martensitic transformation in deforming Ti–12Mo alloy with increasing grain size by Y. Wu, L.Y. Chen, Z. Liu, P. Chen, C.Y. Wang, B. Tang, H.C. Kou, J.S. Li

“…Detailed crystallographic analysis reveals that this transition is due to the variation in the formation sequence of α'' martensites in the transformation path. In addition, α'' martensites are evidenced to be a more effective factor inducing excellent strain hardening compared to deformation twins, which is attributed to their dense dispersion in β matrix, high volume fraction, diverse crystallographic variants, and shear modulus different from β phase. …”
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