Metabolic Changes after Urinary Diversion by Frank Van der Aa, Steven Joniau, Marcel Van Den Branden, Hein Van Poppel

“…Many patients are also subject to urinary calculus formation, both at the level of the upper urinary tract as in intestinal reservoirs. …”
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Urinothorax Caused by Xanthogranulomatous Pyelonephritis by Waiel Abusnina, Hazim Bukamur, Zeynep Koc, Fauzi Najar, Nancy Munn, Fuad Zeid

“…Its pathogenesis generally involves calculus obstructive uropathy and its histopathology is characterized by replacement of the renal parenchyma with lipid filled macrophages. …”
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Noether and partial Noether approach for the nonlinear (3+1)-dimensional elastic wave equations. by Akhtar Hussain, M Usman, Fiazuddin Zaman, Ahmed M Zidan, Jorge Herrera

“…These novel approaches add an application of variational calculus to the existing literature. This offers valuable insights and potential avenues for further exploration of the elastic wave equations.…”
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Modeling Drug Concentration Level in Blood Using Fractional Differential Equation Based on Psi-Caputo Derivative by Muath Awadalla, Yves Yannick Yameni Noupoue, Kinda Abu Asbeh, Noureddine Ghiloufi

“…Theories and applications of fractional calculus are the main tools through which we establish main results. …”
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Foundational aspects of a new matrix holomorphic structure by Hedi Khedhiri, Taher Mkademi

“…Findings – We develop on HC a new matrix holomorphic structure for which we provide the fundamental operational calculus properties. Originality/value – We give sufficient and necessary conditions in terms of Cauchy–Riemann type quaternionic differential equations for holomorphicity of a function of one complex matrix variable ξ∈HC. …”
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A Case of Drastic Reduction of Membranous Substances in the Pharynx by Interprofessional Cooperative Oral Care by Masahiko Okubo, Hideyuki Kamimura, Tsuyoshi Sato, Shoichiro Kokabu

“…There was a large amount of oral desquamated epithelium, dental plaque, and calculus in his mouth. Nurses and care workers administered oral care such as rubbing the tongue and buccal mucosa daily. …”
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Concept results as a vector of effect / Концепция результанты как вектор эффекта by JELESCU Petru, JELESCU Dumitru

“…The article provides a formula for the mathematical calculus of the resultant (R). Concrete and convincing examples of the use of the resultant theory for the preparation of Olympians in mathematics, in other areas of human life and activity, but not only, for example, in the organic (plant, animal) and inorganic worlds (physical, chemical) are given. …”
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Dynamic Behavior and Fixed-Time Synchronization Control of Incommensurate Fractional-Order Chaotic System by Xianchen Wang, Zhen Wang, Shihong Dang

“…Combining fractional-order calculus theory and the Adomian algorithm, the dynamic phenomena of the incommensurate system caused by different fractional orders are studied. …”
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RESIDUAL STRESS ANALYSIS OF UNCOOLED INFRARED FOCAL PLANE ARRAYS BY MICRO-RAMAN SPECTROSCOPY by CEN Hao, WANG KeYong

“…By means of the force equilibrium and infinitesimal calculus,the residual stress in thin flim can reach 3. 3GPa and2. 2GPa respectively for two samples. …”
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Consensus Tracking of Fractional-Order Multiagent Systems via Fractional-Order Iterative Learning Control by Shuaishuai Lv, Mian Pan, Xungen Li, Qi Ma, Tianyi Lan, Bingqiang Li, Wenyu Cai

“…The convergence conditions are proved using graph theory, fractional calculus, and λ norm theory. The theoretical analysis shows that the output of each agent completely tracks the expected trajectory in a limited time as the iteration number increases for both PDα-type and Dα-type FOILC algorithms. …”
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Flatness-based control revisited: The HEOL setting by Join, Cédric, Delaleau, Emmanuel, Fliess, Michel

“…The algebraic manipulations associated with the operational calculus lead to homeostat and intelligent controllers. …”
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Analytic-Numerical Solution of Random Boundary Value Heat Problems in a Semi-Infinite Bar by M.-C. Casabán, J.-C. Cortés, B. García-Mora, L. Jódar

“…Random operational mean square calculus is developed for the introduced transforms. …”
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Some fractional integral inequalities involving extended Mittag-Leffler function with applications by Sabir Hussain, Rida Khaliq, Sobia Rafeeq, Azhar Ali, Jongsuk Ro

“…Integral inequalities and the Mittag-Leffler function play a crucial role in many branches of mathematics and applications, including fractional calculus, mathematical physics, and engineering. In this paper, we introduced an extended generalized Mittag-Leffler function that involved several well-known Mittag-Leffler functions as a special case. …”
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Routh–Hurwitz Stability and Quasiperiodic Attractors in a Fractional-Order Model for Awareness Programs: Applications to COVID-19 Pandemic by Taher S. Hassan, E. M. Elabbasy, A.E. Matouk, Rabie A. Ramadan, Alanazi T. Abdulrahman, Ismoil Odinaev

“…In conclusion, the findings indicate the effectiveness of fractional-order calculus to simulate, predict, and control the spread of epidemiological diseases.…”
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Spontaneous ureteral rupture: A rare case report and review of literature by Anass El Alaoui, MD, Abdelghani Ouraghi, MD, Hemdellah Debbe Salem, MD, Anouar El Moudane, MD, Ali Barki, MD

“…This case demonstrates that spontaneous ureteral rupture should be suspected in urolothiasis patients presenting for a severe pain even if the calculus is small and the laboratory markers are normal. …”
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Perspectives of Experts in the Selection of Contents for a Course of Differential Equations in Engineering by José Luis Díaz Palencia

“…Notably, experts highlighted variational calculus and energy representations as critical yet underrepresented areas in Differential Equations courses, essential for modeling complex, nonlinear problems. …”
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Application of Fuzzy Fractional Kinetic Equations to Modelling of the Acid Hydrolysis Reaction by Ferial Ghaemi, Robiah Yunus, Ali Ahmadian, Soheil Salahshour, Mohamed Suleiman, Shanti Faridah Saleh

“…The fuzzy approximate solution is derived based on the Legendre polynomials to the fuzzy fractional equation calculus. Moreover, the complete error analysis is explained based on the application of fuzzy Caputo fractional derivative. …”
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Output Feedback Fractional-Order Nonsingular Terminal Sliding Mode Control of Underwater Remotely Operated Vehicles by Yaoyao Wang, Jiawang Chen, Linyi Gu

“…For the 4-DOF (degrees of freedom) trajectory tracking control problem of underwater remotely operated vehicles (ROVs) in the presence of model uncertainties and external disturbances, a novel output feedback fractional-order nonsingular terminal sliding mode control (FO-NTSMC) technique is introduced in light of the equivalent output injection sliding mode observer (SMO) and TSMC principle and fractional calculus technology. The equivalent output injection SMO is applied to reconstruct the full states in finite time. …”
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Periodontal Status in Smokers and Nonsmokers: A Clinical, Microbiological, and Histopathological Study by Maddipati Sreedevi, Alampalli Ramesh, Chini Dwarakanath

“…Both groups showed almost similar plaque levels (P=0.258), but smokers had reduced gingival (0.62 ± 0.31) and bleeding indices (28.53 ± 17.52) and an increased calculus index (1.62 ± 0.36). Smokers had an increased probing depth of 4–7 mm (P=0.009) and overall increased CAL. …”
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Molecular modelling of betalactamic antibiotic by Elso Manuel Cruz Cruz, Grettel Díaz Ramón

“…<strong><br />Method</strong>: The molecular structures were optimized with PM3• semiempiric calculus. The structure of the betalactamic ring in the different compounds was compared. …”
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