Homotopy Analysis Method for Solving Foam Drainage Equation with Space- and Time-Fractional Derivatives by Hadi Hosseini Fadravi, Hassan Saberi Nik, Reza Buzhabadi

“…The fractional derivatives are described in the Caputo sense. Some examples are given and comparisons are made; the comparisons show that the homotopy analysis method is very effective and convenient. …”
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NEW-GENERATION STAINLESS STEEL SYSTEMS FOR METALLURGICAL PRODUCTION by A. I. Zolotukhin, A. G. Golovko, E. I. Gordeev, D. А. Provotorov

“…The article deals with the development of devices for mechanization and automation of metal flow control – steel-pouring ladles sliding gates of the new generation of Vulkan-TM production, the history of their production.The various technical solutions underlying the creation of the sliding gates of the «VT» series, innovative solutions used in design of the sliding gates layouts and their competitive advantages are shown.The design and operation principle of the new development – the device for gas-dynamic protection of the metal stream from secondary oxidation is described.…”
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Novel Complexity Indicator of Manufacturing Process Chains and Its Relations to Indirect Complexity Indicators by Vladimir Modrak, Zuzana Soltysova

“…For this purpose, analyzed competitive complexity indicators were tested on two different manufacturing layout examples. A subsequent analysis showed relevant potential of the proposed method.…”
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Approximate Analytical Solution for a Coupled System of Fractional Nonlinear Integrodifferential Equations by the RPS Method by Ayed Al e’damat

“…The fractional derivative is described under the Caputo concept. To illustrate the potential, accuracy, and efficiency of the proposed method, two numerical applications of the coupled system of nonlinear fractional integrodifferential equations are tested. …”
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Monotone and Concave Positive Solutions to a Boundary Value Problem for Higher-Order Fractional Differential Equation by Jinhua Wang, Hongjun Xiang, Yuling Zhao

“…We consider boundary value problem for nonlinear fractional differential equation D0+αu(t)+f(t,u(t))=0,  0<t<1,  n-1<α≤n,  n>3,  u(0)=u'(1)=u′′(0)=⋯=u(n-1)(0)=0, where D0+α denotes the Caputo fractional derivative. By using fixed point theorem, we obtain some new results for the existence and multiplicity of solutions to a higher-order fractional boundary value problem. …”
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Megaformalism of living. Genealogy and prerogatives of a potential morpho-technotype by Oscar Eugenio Bellini, Marianna Arcieri

“…In this context, the Megaform appears as a contingent intervention device that, as an alternative to other solutions, such as the individual houses, the cluster housing, and the tall buildings, can integrate and/or replace the traditional city layout. The contribution traces the genealogy and prerogatives of this unusual morphotype, not attributable to any conventional typological classification, assuming its rediscovery and re-proposition also in an empirical key, starting from the indispensable rethinking of the principles of our living with others, in the belief that to survive in the cities that we have irreversibly transformed, we must learn to think in a new way.…”
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Design of a Small Quadruped Robot with Parallel Legs by Ming Lu, Baorui Jing, Hao Duan, Guanbin Gao

“…To reduce the weight and enhance the transmission accuracy, the horizontal layout of the driving end is adopted for designing the legs of the quadruped robot. …”
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Fractional Dynamics of Genetic Algorithms Using Hexagonal Space Tessellation by J. A. Tenreiro Machado

“…Besides the analysis of the spacial layout, a modelling of the time evolution is performed by adopting a distance measure and the modelling in the Fourier domain in the perspective of fractional calculus. …”
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Existence and Uniqueness of Positive Solutions for a Fractional Switched System by Zhi-Wei Lv, Bao-Feng Chen

“…We discuss the existence and uniqueness of positive solutions for the following fractional switched system: (Dc0+αu(t)+fσ(t)(t,u(t))+gσ(t)(t,u(t))=0, t∈J=[0,1]); (u(0)=u′′(0)=0,u(1)=∫01u(s) ds), where Dc0+α is the Caputo fractional derivative with 2<α≤3, σ(t):J→{1,2,…,N} is a piecewise constant function depending on t, and ℝ+=[0,+∞),  fi,gi∈C[J×ℝ+,ℝ+], i=1,2,…,N. …”
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Measuring. Monitoring. Management. Control by Yu.M. Scryabin

“…The error of the UAV flight can be reduced by combining the Morlaix wavelet function and the rational function as an analyzing one, as well as by using a three-row sensor layout.…”

L’aménagement flexible de la classe : le point de vue d’enseignantes du primaire au Québec by Mylène Leroux, Léna Bergeron, Sylvain Turcotte, Geneviève Deschênes, Jonathan Smith, Catherine Malboeuf-Hurtubise, Jessica Riel, Julie Bergeron, Félix Berrigan

“…This exploratory study focusses on teachers’ motivations and inspirations, intentions and ways of implementing flexible classroom, challenges encountered, perceived benefits, and available resources and support helping to promote this type of layout. To do so, an online survey was conducted with 27 elementary school teachers to get their perception about the aforementioned topics ; 6 of them also participated in an individual semi-structured interview. …”
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SEKOLAH PENDIDIKAN KARAKTER DI KABUPATEN GOWA DENGAN KONSEP ARSITEKTUR EKOLOGIS by Rasdyana Rasdyana, Sitti Aisyah Rahman

“…Results of this report reviews the specifics of the building, such as the terms of the planning involved, the concept footprint, appearance / shape of the building, space layout, structures, building materials, uilitas building with analyzing the problems and the potential that exists in the footprint based Ecological Architecture principles.…”
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Fuzzy Fractional Evolution Equations and Fuzzy Solution Operators by Atimad Harir, Said Melliani, Lalla Saadia Chadli

“…In this paper, the fuzzy fractional evolution equations of order q (FFEE) with fuzzy Caputo fractional derivative are introduced. We study the existence and uniqueness of mild solutions for FFEE under some conditions. …”
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Numerical Algorithms for the Fractional Diffusion-Wave Equation with Reaction Term by Hengfei Ding, Changpin Li

“…Firstly, using the relations between Caputo and Riemann-Liouville derivatives, we get two equivalent forms of the original equation, where we approximate Riemann-Liouville derivative by a second-order difference scheme. …”
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A review on rules for examination of licensing criteria for producing foods for special medical purpose in China by Lei Wu, Lantian Zhang, Yan Zhang

“…The contents including general rules, production sites, equipment facilities, equipment layout, technological process, personnel management, management system and supplementary rules are interpreted item by item. …”
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Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions by J. Caballero, I. Cabrera, K. Sadarangani

“…We investigate the existence and uniqueness of positive solutions of the following nonlinear fractional differential equation with integral boundary value conditions, , , where , and is the Caputo fractional derivative and is a continuous function. …”
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W świecie poznanych i „niepoznanych” liter, czyli o kontynuacji bezsensów w instytucjonalnych praktykach nauki czytania i pisania dzieci by Marzenna Nowicka

“…As a result of the comparison, it was found that the literacy process was doubled at the school level according to the scheme in force in the kindergarten. The page layout for entering a new letter and the suggested exercises are repeated in the textbooks. …”
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Numerical Solutions of a Variable-Order Fractional Financial System by Shichang Ma, Yufeng Xu, Wei Yue

“…The derivative is defined in the Caputo variable-order fractional sense. Numerical examples show that the Adams-Bashforth-Moulton method can be applied to solve such variable-order fractional differential equations simply and effectively. …”
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Monotone Iterative Solutions for Nonlinear Boundary Value Problems of Fractional Differential Equation by Chaozhu Hu, Bin Liu, Songfa Xie

“…By means of the method of quasi-lower and quasi-upper solutions and monotone iterative technique, we consider the nonlinear boundary value problems with Caputo fractional derivative and introduce two well-defined monotone sequences of quasi-lower and quasi-upper solutions which converge uniformly to the actual solution of the problem, and then the existence results of the solution for the problems are established. …”
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THE RELEVANCE OF CONTINENTAL PHILOSOPHY OF RELIGION FOR THEOLOGY IN CONTEMPORARY SOUTH AFRICA by Anne Verhoef

“…Attempts to respond to these challenges by modern philosophers of religion and theology, such as Caputo, Nancy, Stoker, Kearney, and Schrijvers, are explored to identify possible approaches to theology in a post-metaphysical age. …”
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