Soliton solutions, bifurcations, and sensitivity analysis to the higher-order nonlinear fractional Schrödinger equation in optical fibers by Md. Al Amin, M. Ali Akbar, M. Ashrafuzzaman Khan, Md. Sagib

“…We apply a traveling wave transformation with the Beta derivative to convert the nonlinear fractional differential equation into a standard nonlinear differential equation. …”
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Performance of segmentation (watershed and meanshift) and image transformation (MNF-laplacian filter) methods for extracting complex coastlines from Pleiades images: the case of th... by Luc Simirore Diatta, Katia Schörle, Zahra Akacha, Semah Bettaieb, Ali Drine, Ameur Oueslati, Luc Lapierre

“…This study evaluates the performance of different coastline extraction methods based on the segmentation (Watershed and Meanshift) and transformation and discrimination (MNF-Laplacian filter) of very high spatial resolution Pléiades images resampled to 0.5 m. …”
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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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Comparison in the Structure and Physicochemical Properties of Soybean Dregs Insoluble Dietary Fiber from Different Sources by Chenhao ZHAO, Wenhao LIU, Bo LI, Sainan WANG, Hansong YU, Wei YU

“…TBP-IDF was prepared by a complex enzymatic method and its basic components and fractions were determined. …”
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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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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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Magnetic Field Effects on Convective Heat Transfer of Ferrofluid from a Heated Sphere in Porous Media by Ayesha Aktar, Sharaban Thohura, Md. Mamun Molla

“…The resulting nonlinear systems of equations are then numerically solved inside the computing domain into a regular rectangle using the effective Finite Difference Method (FDM).  Numerical outcomes are then represented in terms of local Nusselt number, velocity, temperature profile, and skin friction coefficient, respectively for a range of porosity parameters, ϵ = 0.4, 0.6, 0.8, magnetic effect parameter or Hartmann number, Ha = 0.0, 1.0, 3.0, 5.0 and the ferroparticle volume fraction coefficients, ϕ = 0%, 2%, 4%, 6%. …”
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Study on occurrence law of sulfur in high-sulfur coal with different particle sizes and densities by Yulong YANG, Fei GAO, Yunming ZHANG

“…To investigate the state of sulfur in different particle sizes and density fractions of high-sulfur coal, the Ciyaogou high-sulfur coal was divided into particle size and density fractions according to the screening method and flotation method. …”
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Charge distribution functions for characterization of complex systems by V. M. Gun’ko

“…Simple averaging of the related values gives rather poor characteristics of the systems because various fractions of certain atoms can have different surrounding and, therefore, different characteristics, which may not correspond to the average one. …”
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Finite difference simulation of natural convection of two-phase hybrid nanofluid along a vertical heated wavy surface by Shapla Akter, Amzad Hossain, Md. Mahadul Islam, Md. Mamun Molla

“…The mathematical model accounts for laminar and incompressible fluid flow with a Prandtl number of Pr = 6.2, Lewis number Le = 10, and maximum [Formula: see text] concentration of hybrid nanoparticles. After transforming the governing equations into a non-dimensional form, the implicit finite difference method is used to solve them. …”
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On Symmetrical Sonin Kernels in Terms of Hypergeometric-Type Functions by Yuri Luchko

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Numerical solutions of a fractional order SEIR epidemic model of measles under Caputo fractional derivative. by Nawa A Alshammari, N S Alharthi, Abdulkafi Mohammed Saeed, Adnan Khan, Abdul Hamid Ganie

“…The Homotopy perturbation transform method (HPTM) and Yang transform decomposition methodology (YTDM) have been employed to obtain the numerical solution of the time fractional model. …”
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Vibration Control of Fractionally-Damped Beam Subjected to a Moving Vehicle and Attached to Fractionally-Damped Multiabsorbers by Hashem S. Alkhaldi, Ibrahim M. Abu-Alshaikh, Anas N. Al-Rabadi

“…The damping characteristics of the beam and SDOF systems are described in terms of fractional derivatives. Three coupled second-order fractional differential equations are produced and then they are solved by combining the Laplace transform with the decomposition method. …”
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How aromatic dissolved organic matter differs in competitiveness against organic micropollutant adsorption by Qi Wang, Oliver J. Lechtenfeld, Luuk C. Rietveld, Jonas Schuster, Mathias Ernst, Roberta Hofman-Caris, Jan Kaesler, Chunmiao Wang, Min Yang, Jianwei Yu, Frederik Zietzschmann

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Comparative analysis of Polylactic Acid/Bamboo biocomposites manufactured by Additive Manufacturing and Compression Moulding Methods by D. Balaji, B. Arulmurugan, V. Bhuvaneswari, M. Sathishkumar

“…The weight fraction of bamboo fibers was taken as 20 % for both the manufacturing methods. …”
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Breaking barriers: harnessing hypofractionated radiotherapy to transform outcomes in low tumor mutation burden stage III non-small cell lung cancer - a retrospective study by Jingyun Yang, Tianxiang Cui, Yang Zhang, Guangpeng Chen, Xinxin Wang, Jianguo Sun, Anmei Zhang, Guanghui Li

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Gamma Irradiation for Agrifood: Non-Destructive Approaches to Study the Secondary Effects Produced in Italian Wheat Matrices by Rocco Carcione, Leonardo Lanzetta, Beatrice D’Orsi, Ilaria Di Sarcina, Emiliana Mansi, Jessica Scifo, Alessia Cemmi

“…These approaches can be extended in the development of screening methods for a wide range of polysaccharides in a variety of crops.…”
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Thermomechanical Fractional Model of Two Immiscible TEMHD by F. Hamza, A. M. Abd El-Latief, W. Khatan

“…The inversion of Laplace transform is obtained by using numerical method based on a Fourier-series expansion. …”
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A Simple and Effective Second-Order Numerical Algorithm for Tempered Fractional Differential Equation With Time Caputo-Tempered Fractional Derivative by Dechao Gao, Zeshan Qiu, Lizan Wang, Jianxin Li

“…The time Caputo-tempered fractional derivative is transformed into time Riemann–Liouville tempered fractional derivative by the relationship between Caputo fractional derivative and Riemann–Liouville fractional derivative. …”
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Computational Solution of a Fractional Integro-Differential Equation by Muhammet Kurulay, Mehmet Ali Akinlar, Ranis Ibragimov

“…Although differential transform method (DTM) is a highly efficient technique in the approximate analytical solutions of fractional differential equations, applicability of this method to the system of fractional integro-differential equations in higher dimensions has not been studied in detail in the literature. …”
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