Ensemble models enhanced estimates of leaf chlorophyll from fractional order derivatives transformed spectra by Guangman Song, Yi Gan, Lingfeng Mao, Zhiwei Ge, Jiangshan Lai, Quan Wang

“…To address these challenges, we applied the fractional order derivatives (FOD) transformed spectra into ensemble models, consisting of two popular data-oriented approaches, to refine the spectral response characteristics of leaf chlorophyll using a composite dataset (two public datasets: LOPEX and ANGERS; two collected datasets: Naeba and Nakakawane) containing different species samples. …”
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Analytic solutions of the time-fractional Boiti-Leon-Manna-Pempinelli equation via novel transformation technique by Bushra Yasmeen, Khalil Ahmad, Ali Akgül, Qasem Al-Mdallal

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The Analysis of Fractional-Order Nonlinear Systems of Third Order KdV and Burgers Equations via a Novel Transform by A. A. Alderremy, Shaban Aly, Rabia Fayyaz, Adnan Khan, Rasool Shah, Noorolhuda Wyal

“…In this article, we solve nonlinear systems of third order KdV Equations and the systems of coupled Burgers equations in one and two dimensions with the help of two different methods. The suggested techniques in addition with Laplace transform and Atangana–Baleanu fractional derivative operator are implemented to solve four systems. …”
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Deep learning of the particulate and mineral-associated organic carbon fractions using a compositional transform and mid-infrared spectroscopy by Mingxi Zhang, Zefang Shen, Lewis Walden, Farid Sepanta, Zhongkui Luo, Lei Gao, Oscar Serrano, Raphael A. Viscarra Rossel

“…Mid-infrared (MIR) spectroscopy combined with multivariate modelling can alleviate these limitations because the method can estimate SOC and its fractions rapidly, cost-effectively and accurately. …”
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State-Space Approach to the Time-Fractional Maxwell’s Equations under Caputo Fractional Derivative of an Electromagnetic Half-Space under Four Different Thermoelastic Theorems by Eman A. N. Al-Lehaibi, Hamdy M. Youssef

“…Laplace transform’s inversions were calculated using Tzou’s iteration method. …”
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Novel approximations to the fourth-order fractional Cahn–Hillard equations: Application to the Tantawy Technique and other two techniques with Yang transform by Samir A El-Tantawy, Amnah S Al-Johani, Aljawhara H Almuqrin, Adnan Khan, Lamiaa S El-Sherif

“…This investigation employs the “Tantawy Technique,” a novel, highly accurate, and fast technique, to solve and analyze the fourth-order time-fractional Cahn–Hilliard (TFCH) models. We also implement the variational iteration transform method (VITM) and the homotopy perturbation transform method (HPTM) within the Yang transform framework to analyze the fourth-order TFCH models. …”
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Adaptive Fast Refocusing for Ship Targets With Complex Motion in SAR Images by Xinqi Xu, Xiangguang Leng, Zhongzhen Sun, Xiangdong Tan, Kefeng Ji, Gangyao Kuang

“…Third, the ORO within the ORI is computed using the fractional autocorrelation. Then, each azimuth line is refocused using fractional Fourier transform. …”
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A novel color image encryption algorithm based on fractional-order conservative memristive hyperchaotic system and extended zig-zag transform by Fanqi Meng, Gang Wu, Juxiao Zhang

“…This paper presents a novel image encryption scheme based on fractional-order conservative memristive hyperchaotic system (FCMHS) and extended Zig-Zag transform to protect images from being attacked. …”
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Mathematical analysis of Prandtl number with Artificial neural network and fractional operator for nanofluid flow by Muhammad Ramzan, Ahmad Shafique, Shajar Abbas, Rifaqat Ali, Tarik Lamoudan, Rashid Jan, Muyassar Norberdiyeva, Bakhora Turabova, Hakim AL Garalleh

“…The innovation is in achieving unique outcomes by combining the effects of mass transport and heat over a plate. Methods:: The governing partial differential equations are non-dimensionalized and solved using the Laplace transform method. …”
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The Synergistic Effects of Different Phosphorus Sources: Ferralsols Promoted Soil Phosphorus Transformation and Accumulation by Long Zhou, Tilei Zhao, Nyeinnyein Thu, Hongmin Zhao, Yi Zheng, Li Tang

“…Phosphorus (P) application can enhance soil P availability and alter P fractions. However, the P accumulation and transformation of different P sources in low-phosphorus red soil remain unclear. …”
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On the analytical soliton-like solutions to (2+1)-dimensional fractional asymmetric Nizhnik-Novikov-Veselov system arising in incompressible fluids by Humaira Yasmin, Humaira Yasmin, Albandari W. Alrowaily, Mounirah Areshi, Rasool Shah, S. A. El-Tantawy, S. A. El-Tantawy

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Fast High-Order Difference Scheme for the Modified Anomalous Subdiffusion Equation Based on Fast Discrete Sine Transform by Lijuan Nong, An Chen

“…By using the modified L1 method and the compact difference operator with fast discrete sine transform technique, we develop a fast Crank-Nicolson compact difference scheme which is proved to be stable with the accuracy of Oτmin1+α,1+β+h4. …”
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Analytical Solution for the Time Fractional BBM-Burger Equation by Using Modified Residual Power Series Method by Jianke Zhang, Zhirou Wei, Longquan Yong, Yuelei Xiao

“…The numerical results show that the RPSM is reliable and powerful in solving the numerical solutions of the BBM-Burger equation compared with the exact solutions as well as the solutions obtained by homotopy analysis transform method through different graphical representations and tables.…”
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A new method to solve multi-objective linear fractional programming problem in fuzzy stochastic environment by Ajeet Kumar, Babita Mishra

“…The chance-constrained programming method is utilized to transform the MOFSLFPP into its equivalent crisp form. …”
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A Convergent Legendre Spectral Collocation Method for the Variable-Order Fractional-Functional Optimal Control Problems by Zahra Pirouzeh, Mohammad Hadi Noori Skandari, Kameleh Nassiri Pirbazari

“…In this paper, a numerical method is applied to approximate the solution of variable-order fractional-functional optimal control problems. …”
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Optical soliton solutions, dynamical and sensitivity analysis for fractional perturbed Gerdjikov–Ivanov equation by Muhammad Shakeel, Fehaid Salem Alshammari, Hameed Gul Ahmadzai

“…For this purpose, a wave transformation is applied to convert the fractional PGI Equation to a non-linear ODE. …”
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Research on Pedestrian and Cyclist Classification Method Based on Micro-Doppler Effect by Xinyu Chen, Xiao Luo, Zeyu Xie, Defang Zhao, Zhen Zheng, Xiaodong Sun

“…Herein, wavelet threshold processing, short-time Fourier transform, and periodogram methods are employed to process radar echo data. …”
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Comparative Analysis of the Time-Fractional Black–Scholes Option Pricing Equations (BSOPE) by the Laplace Residual Power Series Method (LRPSM) by Muhammad Imran Liaqat, Eric Okyere

“…The residual power series method is effective for obtaining solutions to fractional-order differential equations. …”
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On the study of solitary wave dynamics and interaction phenomena in the ultrasound imaging modelled by the fractional nonlinear system by Usman Younas, Jan Muhammad, Qasim Ali, Mirwais Sediqmal, Krzysztof Kedzia, Ahmed Z. Jan

“…The third-order non-linear $$\beta$$ β -fractional Westervelt model has been used as a governing model in the imaging process for securing the different wave structures. …”
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On Symmetrical Sonin Kernels in Terms of Hypergeometric-Type Functions by Yuri Luchko

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