Qualitative Analysis of the Discretization of a Continuous Fractional Order Prey-Predator Model with the Effects of Harvesting and Immigration in the Population by Md. Jasim Uddin, Sarker Md. Sohel Rana

“…This study examines the discrete prey-predator model in the sense of Caputo fractional derivative by incorporating harvesting on the predator population and immigration on the prey population. …”
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The Experimental Investigation of the Optimization of the Flow State of a Ladder-Shaped Spillway in a Certain Reservoir by Xin-Bao Gu, Yang Zhang, Qi-Hong Wu, Yong Wang

“…The experimental method of the physical model was used to optimize the design of the spillway without changing the original plane layout. First, three steps in the ladder are added. …”
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Research Progress and Development Trends of Materials Genome Technology by Shuling Xiong, Luohan Wang

“…In this paper, we introduce the strategic significance, national layout, and methods of materials genome technology and emphatically introduce the design idea and development status of materials database method. …”
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Second Order Coherence: A new way of looking at incoherence in texts by Ib Ulbaek

“…It is shown how readers can detect these structures in the text by detecting the incoherence even without the layout of the text to signal structure (e.g. indention of paragraphs). …”
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Positive Solutions to Nonlinear Higher-Order Nonlocal Boundary Value Problems for Fractional Differential Equations by Mujeeb Ur Rehman, Rahmat Ali Khan

“…We study existence of positive solutions to nonlinear higher-order nonlocal boundary value problems corresponding to fractional differential equation of the type 𝑐𝒟𝛿0+𝑢(𝑡)+𝑓(𝑡,𝑢(𝑡))=0, 𝑡∈(0,1), 0<𝑡<1. 𝑢(1)=𝛽𝑢(𝜂)+𝜆2, 𝑢(0)=𝛼𝑢(𝜂)−𝜆1, 𝑢(0)=0, 𝑢(0)=0⋯𝑢(𝑛−1)(0)=0, where, 𝑛−1<𝛿<𝑛, 𝑛(≥3)∈ℕ, 0<𝜂,𝛼,𝛽<1, the boundary parameters 𝜆1,𝜆2∈ℝ+ and 𝑐𝐷𝛿0+ is the Caputo fractional derivative. We use the classical tools from functional analysis to obtain sufficient conditions for the existence and uniqueness of positive solutions to the boundary value problems. …”
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A Non-Integer Variable Order Mathematical Model of Human Immunodeficiency Virus and Malaria Coinfection with Time Delay by A. A. M. Arafa, M. Khalil, A. Sayed

“…Also, numerical simulations are presented for different variable fractional-order derivatives in Caputo sense.…”
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Investigation of fractional-order pantograph delay differential equations using Sumudu decomposition method by Asrar Saleh Alsulami, Mariam Al-Mazmumy, Maryam Ahmed Alyami, Mona Alsulami

“…This paper combines the Sumudu transform with the Adomian decomposition method to address Caputo-type fractional-order pantograph delay differential equations. …”
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Numerical Solutions for the Time and Space Fractional Nonlinear Partial Differential Equations by Khaled A. Gepreel, Taher A. Nofal, Fawziah M. Alotaibi

“…The fractional derivatives are described in the Caputo sense. These methods are used in applied mathematics to obtain the analytic approximate solutions for the nonlinear Bejamin-Bona Mahoney (BBM) partial fractional differential equation. …”
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Fractal Control and Synchronization of the Discrete Fractional SIRS Model by Miao Ouyang, Yongping Zhang, Jian Liu

“…The discrete SIRS models with the Caputo deltas sense and the theories of fractional calculus and fractal theory provide a reasonable and sensible perspective of studying infectious disease phenomenon. …”
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Conformable Fractional-Order Modeling and Analysis of HIV/AIDS Transmission Dynamics by Esam Y. Salah, Bhausaheb Sontakke, Mohammed S. Abdo, Wasfi Shatanawi, Kamaleldin Abodayeh, M. Daher Albalwi

“…The mathematical model of the dynamics of HIV/AIDS infection transmission is developed by adding the set of infected but noninfectious persons, using a conformable fractional derivative in the Liouville–Caputo sense. Some fixed point theorems are applied to this model to investigate the existence and uniqueness of the solutions. …”
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Multiweight Cross-Multimedia Logistics Optimal Path Exploration by Integrating High-Dimensional Deep Learning by Huiying Zhang, Jinjin Guo, Guie Sun

“…Starting from the total amount of logistics, regional layout, enterprise scale, and high-dimensional deep learning algorithm, this paper analyzes the current situation of China’s logistic development through multiweight analysis and explores the best path for multimedia logistics.…”
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Analytical treatment of fractional Swift-Hohenberg equation with uncertainty by Amit Kumar, Samaresh Kumbhakar, Shreya Mukherjee

“…In this article, we present the time-fractional Swift-Hohenberg equation (FSFE) with uncertainty where the fractional deriative is chossen in caputo sense. We have solved the fuzzy FSFE by homotopy analysis elzaki transform method (HAETM) which is a collaboration of homotopy analysis method with elzaki transform.The proposed algorithm provides a fast convergence series solution. …”
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Un jardin japonais botanique et médicinal de création récente by Manon Paul-Traversaz, Serge Krivobok, Michel Sève

“…Special attention has been paid to the layout of the space and the features of the existing landscape and park. …”
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Baśniowe przestrzenie działania z perspektywy przyszłych nauczycieli by Magdalena Kaliszewska-Henczel

“…The competences of candidates for teachers in perceiving the symbolism of places, wandering, world layout, reveal not only the level of cultural and literary knowledge (because they are a “showcase” of previous school experiences of fairy-tale themed lessons), but also indicate their future strategies for designing children’s activity based on fairy tales. …”
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An Efficient Method for Systems of Variable Coefficient Coupled Burgers’ Equation with Time-Fractional Derivative by Hossein Aminikhah, Nasrin Malekzadeh

“…The fractional derivatives are described in the Caputo fractional derivative sense. The concept of new algorithm is introduced briefly, and NHPM is examined for two systems of nonlinear Burgers' equation. …”
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Simulation Optimization of Discrete Logistics Processes: A Case Study on Logistics of an E-Commerce Enterprise in Shanghai by Xiang Xu, Yue Li, Ruiyun Tang

“…Then the AnyLogic software is used to simulate and optimize the system from three aspects, including routes selection, warehouses quantity, and warehouses layout. Finally, this paper analyzes the simulation results, which would provide some valuable references for practical logistics.…”
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Existence and Uniqueness of Mild Solution for Fractional-Order Controlled Fuzzy Evolution Equation by Naveed Iqbal, Azmat Ullah Khan Niazi, Ramsha Shafqat, Shamsullah Zaland

“…In this article, we investigated the existence and uniqueness of mild solutions for fractional-order controlled fuzzy evolution equations with Caputo derivatives of the controlled fuzzy nonlinear evolution equation of the form  0cDIγxI=αxI+PI,xI+AIWI,I∈0,T,xI0=x0, in which γ∈0,1, E1 is the fuzzy metric space and I=0,T is a real line interval. …”
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Fractional-Order Epidemic Model for Measles Infection by Philip N. A. Akuka, Baba Seidu, Eric Okyere, Stephen Abagna

“…In this study, a nonlinear dynamic SEVIQR measles epidemic model is constructed and analyzed using the novel Caputo fractional-order derivative operator. The model’s existence and uniqueness are established. …”
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On Fractional SIRC Model with Salmonella Bacterial Infection by Fathalla A. Rihan, Dumitru Baleanu, S. Lakshmanan, R. Rakkiyappan

“…The numerical simulations of the fractional order SIRC model are performed by Caputo’s derivative and using unconditionally stable implicit scheme. …”
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Ponctuation et mise en page dans Madame Bovary : les interventions de Flaubert sur le manuscrit du copiste by Stella Mangiapane

“…This paper deals with the last stages of Madame Bovary’s genesis, which are attested, in the final manuscript, by the corrections made by Flaubert himself on his own work and on the deliberate or accidental modifications made by the copyist, with regard to punctuation or layout. Two specific aspects of Flaubert’s writing will be analysed: first, the rhythmic more than logical function that Flaubert attributed to punctuation and second, the constant attention paid to the creation of a particular rhythm of the page. …”
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