Backstepping Sliding Mode Control Algorithm for Unmanned Aerial Vehicles Based on Fractional-Order Theory by Yanzhu Zhang, Bo Zhuang, Chunhao Ma, Cheng Zhang

“…This paper combines the fractional-order calculus theory with the backstepping sliding mode control algorithm, using the backstepping control to compensate for the nonlinearity of the system and the fractional-order theory to eliminate the jitter brought about by the sliding mode control, and proposes a new fractional-order backstepping sliding mode control strategy for the trajectory tracking control of the quadrotor UAV. …”
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Fuzzy Fractional-Order PID Control for PMSG Based Wind Energy Conversion System with Sparse Matrix Converter Topology by Waleed Khaled Abdulrazaq Abdulrazaq, Ahmet Mete Vural

“…The FFOPID controller is chosen to combine the salient features of the fractional-order calculus and fuzzy logic operations to enhance the dynamic response of classical PID controller with fixed gains. …”
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Backward Continuation of the Solutions of the Cauchy Problem for Linear Fractional System with Deviating Argument by Hristo Kiskinov, Mariyan Milev, Milena Petkova, Andrey Zahariev

“…Fractional calculus provides tools to model systems with memory effects; when coupled with delays, they model process histories inspired by two independent sources—the memory of the fractional derivative and the impact conditioned by the delays. …”
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Multiplication of Negative Scenarios: the Approach Public Administrations Could Use at Drafting General Rules by Mirko Pečarič

“… This paper addresses problems that emerge when draft laws are created without due regard for the calculus of probability. Although the latter should be sine qua non for future legislation, legislators usually do not use it despite the legislation’s pro future orientation. …”
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Relato de uma extensão em tempos de isolamento social: Criação de um recurso educacional sobre matemática na pandemia de COVID-19 by Leila Thomazelli Thieghi, Fabio Luiz Sant'Anna Cuppo

“…Keywords: Educational Resource, Mathematics Education, Scientific Dissemination, Differential and Integral Calculus. …”
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The Relationship between Chewing Betel Habit and Periodontal Disease in an Indonesian Village Community - An Evaluative Study by Nurdin Nurdin, Herry Imran, Arnela Nur, Cut R. Keumala, Nasri Nasri, Reca Reca

“…Background: The habit of chewing betel has some very adverse effects due to the use of lime in the betel leaf, which causes an alkaline atmosphere in the mouth, leading to the buildup of calculus. Aim: The purpose of this study was to determine the relationship between betel nut habit and periodontal disease in the community of Gampong Kampung Blang, Blang Bintang District, Aceh Besar Regency. …”
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Results on Solution Set in Certain Interval-Valued Controlled Models by Savin Treanţă, Omar Mutab Alsalami

“…The methodology used in this paper is a combination of techniques from the Lagrange–Hamilton theory, calculus of variations, and control theory. This study could be immediately improved by including an analysis of this class of optimization problems by using curvilinear integrals instead of multiple integrals. …”
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Periodontal Status and Risk Factors among Adults of Sebha City (Libya) by Syed Wali Peeran, A. J. A. Ranjith Singh, G. Alagamuthu, Syed Ali Peeran, P. G. Naveen Kumar

“…Majority, 52.65% were, detected with shallow pockets followed by 30.08% with calculus, 12.17% had deep pockets, 3.31% had bleeding, and only 1.33% were healthy. …”
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Fractional and stochastic modeling of breast cancer progression with real data validation. by Khaled Aldwoah, Hanen Louati, Nedal Eljaneid, Tariq Aljaaidi, Faez Alqarni, AbdelAziz Elsayed

“…Theoretical analysis, employing fixed-point theory for the fractional-order phases and Ito calculus for the stochastic phase, establishes the existence and uniqueness of solutions. …”
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Viscoelastic hydrodynamics and holography by Jay Armas, Akash Jain

“…We reformulate classical elasticity effective field theory using surface calculus in which the Goldstone scalars naturally define the position of higher-dimensional crystal cores, covering both elastic and smectic crystal phases. …”
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Evidence for the Paleoethnobotany of the Neanderthal: A Review of the Literature by Gerhard P. Shipley, Kelly Kindscher

“…., starch, pollen, phytoliths, and seeds) in soil and dental calculus, dental and tool wear, coprolites, and genetics, for Neanderthal’s nutritional, medicinal, and ritual use of plants, which includes 61 different taxa from 26 different plant families found at 17 different archaeological sites. …”
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Application of Multiobjective Optimization Based on Modified SPEA2 Method for Tuning FOPID plus Second-Order Derivative Controller in Hydraulic Turbine Governing System by Tian Tian, Qiang Huang, Jinhua Lv, Mo Zhou, Jian Tang

“…By combining fractional calculus and second-order derivative, the FOPID2D controller offers enhanced control flexibility compared to conventional PID controller. …”
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Analysis of Fractional Thin Film Flow of Third Grade Fluid in Lifting and Drainage via Homotopy Perturbation Procedure by Mubashir Qayyum, Farnaz Ismail, Syed Inayat Ali Shah, Muhammad Sohail, Kanayo Kenneth Asogwa, Fatema Tuz Zohra

“…We have expanded the formulations of non-Newtonian third grade fluid for lifting and draining in fractional space. Fractional calculus along with Homotopy Perturbation Method is used for the solution and analysis purposes. …”
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Nutritional assessment of children at the day care center “Marineritos del Sur” in Cienfuegos province, Cuba. by Zeida Bárbara Alejo Cruz, Gema Matienzo González Carvajal, Caridad Hernández Gutiérrez, Ernesto Martínez Ferrer

“…<br /><strong>Results:</strong> According to the indicators weight/size, size/age, weight / age, tricipital fold/ age, brachial circumference / age, patients between 10 and 90 percentile had a predominance. The calculus of the Z point showed that 67,66 % of the children were eutrophic, 27,=6 tended to obesity and 5,28 malnourished. …”
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New Approaches to Fractal–Fractional Bullen’s Inequalities Through Generalized Convexity by Wedad Saleh, Hamid Boulares, Abdelkader Moumen, Hussien Albala, Badreddine Meftah

“…This study provides a significant advancement in the area of fractal–fractional inequalities, presenting a range of results not only for fractional integrals and fractal calculus, but also offering a refinement of the well-known Bullen-type inequality. …”
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Resolution of Abfraction-Associated Gingival Fenestration Utilizing Connective Tissue Grafting by Braydon Haskell, J. Kobi Stern, Jordan Ghiassi, Andrew Kurialacherry, Sadja Gaud-Quintana, Mark E. Peacock

“…It has been associated mainly with submucosal mechanical irritants such as calculus that subsequently create an opening in the oral soft tissue, usually at facial anterior sites. …”
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Drinfel’d doubles, twists and all that. . . in stringy geometry and M theory by Aybike Çatal-Özer, Keremcan Doğan, Cem Yetişmişoğlu

“…We achieved this by introducing a framework of calculus on algebroids and examining compatibility conditions for various algebroid properties in this framework. …”
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The students' visual reasoning in solving integral problems by Ummu Sholihah, Beni Asyhar

“…Mahasiswa Laki-laki lebih mampu memenuhi proses penalaran yaitu representasi visual, visualisasi, dan transisi ke berpikir matematis. Integral calculus is a mathematics course that requires reasoning, communication skills and high-level thinking skills to complete it. …”
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Explicit travelling wave solutions to the time fractional Phi-four equation and their applications in mathematical physics by Ayesha Farooq, Tooba Shafique, Muhammad Abbas, Asnake Birhanu, Y. S. Hamed

“…Abstract In applied research, fractional calculus plays an important role for comprehending a wide range of intricate physical phenomena. …”
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A comprehensive review of the characterization of real numbers by Víctor Arturo Martínez León, Rodrigo Bloot, Ana Letícia de Oliveira

“…The real number system is a fundamental tool for rigorous demonstrations of the differential and integral calculus results. Even after a century of formalization on solid foundations, discussions about the construction of this field are generally omitted in advanced courses such as Real Analysis. …”
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