A Vieta–Lucas collocation and non-standard finite difference technique for solving space-time fractional-order Fisher equation by Mohd Kashif

“… The purpose of the article is to analyze an accurate numerical technique to solve a space-time fractional-order Fisher equation in the Caputo sense. For this purpose, the spectral collocation technique is used, which is based on the Vieta–Lucas approximation. …”
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On Semianalytical Study of Fractional-Order Kawahara Partial Differential Equation with the Homotopy Perturbation Method by Muhammad Sinan, Kamal Shah, Zareen A. Khan, Qasem Al-Mdallal, Fathalla Rihan

“…In this study, we investigate the semianalytic solution of the fifth-order Kawahara partial differential equation (KPDE) with the approach of fractional-order derivative. We use Caputo-type derivative to investigate the said problem by using the homotopy perturbation method (HPM) for the required solution. …”
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Solving Fractional Generalized Fisher–Kolmogorov–Petrovsky–Piskunov’s Equation Using Compact-Finite Different Methods Together with Spectral Collocation Algorithms by Maged Z. Youssef, M. M. Khader, Ibrahim Al-Dayel, W. E. Ahmed

“…The main target of this work is presenting two efficient accurate algorithms for solving numerically one of the most important models in physics and engineering mathematics, Fisher–Kolmogorov–Petrovsky–Piskunov’s equation (Fisher-KPP) with fractional order, where the derivative operator is defined and studied by the fractional derivative in the sense of Liouville–Caputo (LC). There are two main processes; in the first one, we use the compact finite difference technique (CFDT) to discretize the derivative operator and generate a semidiscrete time derivative and then implement the Vieta–Lucas spectral collocation method (VLSCM) to discretize the spatial fractional derivative. …”
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A method for calculating the coverage area of radar network based on Monte Carlo method and its simulation by WANG Yinlong, WANG Dan, MA Juntao, ZHAO Deyong

“…The size of the radar network coverage area is one of the important indicators to measure the performance of the air defense system, and it is of great significance to optimize the layout design of radar network and to maximize the comprehensive uniform chamber benefit of radar network. …”
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Eurasian Aerospace Defense: the Role of Strategic Nonnuclear Arms by A. I. Podberezkin

“…The new stage of the scientific revolution having produced new high precision weapons has resulted not only in significant rearrangement of global political layout but also in radical changes in war strategy and has transformed the meaning of military power as a foreign policy tool. …”
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Impact of the Gate Width of Al0.27Ga0.73N/AlN/Al0.04Ga0.96N/GaN HEMT on Its Characteristics by Liwei Jin, Zhiqun Cheng, Qingna Wang

“…This paper presents impact of layout sizes of Al0.27Ga0.73N/AlN/Al0.04Ga0.96N/GaN HEMT heterostructure high-mobility transistors (HEMTs) on SiC substrate on its characteristics that include the threshold voltage, the maximum transconductance, characteristic frequency, and the maximum oscillation frequency. …”
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Analysis of the Financial Chaotic Model with the Fractional Derivative Operator by Mamadou Diouf, Ndolane Sene

“…Numerical discretization for the fractional differential equations is applied to the chaotic financial model described by the Caputo derivative. The graphical representations to support the numerical discretization are presented. …”
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Spectral Collocation Method for Fractional Differential/Integral Equations with Generalized Fractional Operator by Qinwu Xu, Zhoushun Zheng

“…Generalized fractional operators are generalization of the Riemann-Liouville and Caputo fractional derivatives, which include Erdélyi-Kober and Hadamard operators as their special cases. …”
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Pengkontruksian Bidirected Overlap Graph untuk Perakitan Sekuens DNA by Wisnu Ananta Kusuma, Albert Adrianus

“…Metode ini dinamakan Overlap Layout Consensus (OLC). Hal yang penting dalam metode OLC adalah pendeteksian overlap dari masing-masing reads. …”
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Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value Problems by D. Baleanu, A. H. Bhrawy, T. M. Taha

“…We derive the operational matrix of Caputo fractional derivative of the generalized Laguerre polynomials which is applied together with generalized Laguerre tau approximation for implementing a spectral solution of linear multiterm FDEs on semi-infinite interval subject to initial conditions. …”
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Design of Two-Regional Flexible-Route Bus Systems considering Interregional Demands by Siqing Wang, Jian Wang, Lang Song, Zhipeng Niu, Xiaowei Hu

“…This study develops a model that considers inter-regional travel demands. The optimal network layout is determined by minimizing an objective function that comprises operator and user costs. …”
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Iterative Analysis of the Unique Positive Solution for a Class of Singular Nonlinear Boundary Value Problems Involving Two Types of Fractional Derivatives with p-Laplacian Operator by Fang Wang, Lishan Liu, Yonghong Wu, Yumei Zou

“…This article is concerned with a class of singular nonlinear fractional boundary value problems with p-Laplacian operator, which contains Riemann–Liouville fractional derivative and Caputo fractional derivative. The boundary conditions are made up of two kinds of Riemann–Stieltjes integral boundary conditions and nonlocal infinite-point boundary conditions, and different fractional orders are involved in the boundary conditions and the nonlinear term, respectively. …”
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Response of negative ion beamlet width and axis deflection to RF field in beam extraction region by Kenichi Nagaoka, Haruhisa Nakano, Taiga Hamajima, Ryoya Nakamoto, Katsuyoshi Tsumori, Masaki Osakabe, Masashi Kisaki, Kenji Miyamoto, Kazunori Takahashi, Ursel Fantz

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The Transmission Dynamics of Hepatitis B Virus via the Fractional-Order Epidemiological Model by Tahir Khan, Zi-Shan Qian, Roman Ullah, Basem Al Alwan, Gul Zaman, Qasem M. Al-Mdallal, Youssef El Khatib, Khaled Kheder

“…For the purpose of fractionalizing, we use the Caputo–Fabrizio operator. Once we develop the model under consideration, existence and uniqueness analysis will be discussed. …”
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On a Class of Abstract Time-Fractional Equations on Locally Convex Spaces by Marko Kostić, Cheng-Gang Li, Miao Li

“…,An−1 are closed linear operators on a sequentially complete locally convex space E,0≤α1<⋯<αn, 0≤α<αn, f(t) is an E-valued function, and Dtα denotes the Caputo fractional derivative of order α (Bazhlekova (2001)). …”
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Optimization and Prediction of Energy Consumption, Daylighting, and Thermal Comfort of Buildings in Tropical Areas by Jianjian Zhang, Lin Ji

“…It is shown that the optimized layout of the office achieves energy-saving optimization in energy consumption, daylighting, and thermal comfort. …”
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Analysis of Turberculosis-COVID-19 Coinfection Using Fractional Derivatives by Samuel Okyere, Joseph Ackora-Prah, Saleem Abdullah, Samuel Akwasi Adarkwa, Frank Kofi Owusu, Kwame Bonsu, Mary Osei Fokuo, Mary Ann Yeboah

“…In this study, Tuberculosis-COVID-19 coinfection is studied using Atangana–Baleanu fractional-order derivatives defined in Caputo sense. We confirmed the existence and singularity of the solution and investigated the model’s equilibrium points. …”
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Research on the Prediction of Port Economic Synergy Development Trend Based on Deep Neural Networks by Anping Zha, Jianjun Tu

“…The coordinated development of port economy is an important part of the economic development planning of port cities, and it is also the premise and basis for the comprehensive planning of port logistics infrastructure construction scale, logistics space layout, and port city logistics development direction and function positioning. …”
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Numerical Study on 4-1 Coal Seam of Xiaoming Mine in Ascending Mining by Lan Tianwei, Zhang Hongwei, Li Sheng, Han Jun, Song Weihua, A. C. Batugin, Tang Guoshui

“…Combined with the Xiaoming ascending mining mine 4-1, by numerical calculation, the paper analyses ascending mining 4-1 factors, determines the feasibility of ascending mining 4-1 coalbed, and proposes roadway layout program about working face, which has broad economic and social benefits.…”
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Path-Tracking Control of Tilting Quadrotor UAV Based on Variable Structure Sliding Mode Control Method by Qinghua Liu, Ke Zhang, Yunfan Pan, Huan Zhang

“…This article takes the tilting quadcopter drone as the research object and analyzes its overall layout and flight principles in various flight modes. …”
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