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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Effects of Self-Explanation on the Expansion and Indulgent of Mathematics Teaching: Case of the Students of the University of Wachemo by Abdela Atisso, Dawit Kachine, Dinku Feyissa

“…Of these, two areas were measured quantitatively: student achievement in calculus and transformation geometry, and self-concept toward these courses. …”
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Phase-lag mixed integral equation of a generalized symmetric potential kernel and its physical meanings in (3+1) dimensions by Azhar Rashad Jan

“…By applying the properties of fractional calculus, it is possible to get an integro-differential Fredholm-Volterra integral equation (Io-DF-VIE). …”
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Differential game theory application in models of trade relations of Great Britain with Portugal and Russia with Belarus by I. V. Korolyov

“…The article includes several examples: the model of military operations with a certain arsenal and the analysis of two non-antagonistic games - the dynamic model of trade between Great Britain and Portugal, as well as between Russia and Belarus.The article shows how the problem of differential economic-mathematical game arises from the simplest problems of classical variational calculus. Sufficient conditions for the PontryaginMangasarian maximum and their applications to the study of economic problems are investigated. …”
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PERIODONTAL DISEASE STATUS AMONG ADULT POPULATIONATTENDING PRIVATE DENTAL HOSPITALAT GADAP TOWN KARACHI by Raza Abbas et al

“…According to the community periodontal index (CPI) the patients who had diagnosed with bleeding gums were 22.1% this result showed that gingivitis was seen in this rural community of Gadap town, likewise, those patients who attended the dental hospital OPD that have a poor oral hygiene noticed that plaque and calculus deposition was seen during the oral examination were 52.9%. …”
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Study of Research and Development Processes through Fuzzy Super FRM Model and Optimization Solutions by Flavius Aurelian Sârbu, Monika Moga, Gavrilă Calefariu, Mircea Boșcoianu

“…Therefore to fulfill the above mentioned aim in this application-oriented paper we decided to use a questionnaire and for the interpretation of the results the Super Fuzzy FRM model, representing the main novelty of our paper, as this theory provides a formalism based on matrix calculus, which allows processing of large volumes of information and also delivers results difficult or impossible to see, through statistical processing. …”
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Evaluating the stability and efficacy of fractal-fractional models in reproductive cancer apoptosis with ABT-737 by Kottakkaran Sooppy Nisar, M. Sivashankar, S. Sabarinathan, C. Ravichandran, V. Sivaramakrishnan

“…The numerical schemes utilize the basic concepts of fractional calculus and Lagrange polynomial interpolation. We generate simulated graphical representations of these models for a variety of fractional-order values. …”
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Influence of the “five‑in‑one” mode on complications and compliance behaviors of patients with ureteral calculi after minimally invasive surgery by Xixian Ou, Xuejing Wang

“…Introduction: As a clinically common urinary system disease, ureteral calculus mainly manifests as hematuria and colicky pain. …”
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Overcoming ideology-consistent biases: does it help to make things easier? by Philip U. Gustafsson, Torun Lindholm, Freja Isohanni, Ola Svenson, Sophia Appelbom

“…In Experiment 2, the aid provided participants with the first calculus necessary to solve the problem: transforming frequencies to percentages. …”
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Maximum-Power Stirling-like Heat Engine with a Harmonically Confined Brownian Particle by Irene Prieto-Rodríguez, Antonio Prados, Carlos A. Plata

“…The optimal driving protocols are obtained by using both variational calculus and optimal control theory tools. Furthermore, we numerically explore the dependence of the maximum output power and the corresponding efficiency on the system parameters.…”
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Novel fractional integral inequalities for GA-Cr-convex functions and connections with information systems by Asfand Fahad, Zammad Ali, Shigeru Furuichi, Yuanheng Wang

“…On the other hand, fractional calculus has emerged as an indispensable tool in Engineering, Physics, and Mathematics, with widespread applications. …”
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Possible Role of Large Fluid Intake in Delaying Formation of Encrustations and, thereby, Prolonging Working Life of Memokath Stent for Nearly 14 Years in a Spinal Cord Injury Patie... by Subramanian Vaidyanathan, Bakul M. Soni, Peter L. Hughes, Gupreet Singh

“…This case is also a reminder to health professionals that if a tetraplegic patient, in whom a Memokath stent has been deployed for treatment of detrusor-sphincter dyssynergia, presents with autonomic dysreflexia, encrustations blocking the lumen of the stent or calculus formation around the stent should be considered as possible reasons for autonomic dysreflexia.…”
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Performances improvement of DC Motor using a Fractional Order Adaptive PID Controller optimized by Genetic Algorithm by Abdelouaheb Boukhalfa, Yassine Bensafia, Khatir Khettab

“… In the past 20 years, scientists and engineers have rediscovered fractional calculus and have begun using it in more and more domains, most notably control theory. …”
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Integrated Optimization on Energy Saving and Quality of Service of Urban Rail Transit System by Wenxin Li, Qiyuan Peng, Chao Wen, Shengdong Li, Xu Yan, Xinyue Xu

“…To this end, we apply the principles and ideas of calculus to reduce the power of the velocity in the train energy consumption model. …”
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Ureteroscopy-Assisted Retrograde Nephrostomy (UARN) after Anatrophic Nephrolithotomy by Takashi Kawahara, Hiroki Ito, Hideyuki Terao, Yoshitake Kato, Takehiko Ogawa, Hiroji Uemura, Yoshinobu Kubota, Junichi Matsuzaki

“…The puncture wire then followed the route from the renal pelvis to the exit skin. Calculus fragmentation was undertaken using a pneumatic lithotripter. …”
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