The Fractional Complex Step Method by Rabha W. Ibrahim, Hamid A. Jalab

“…We extended the method by employing the fractional calculus differential operator in this paper. The fractional calculus can be taken in the sense of the Caputo operator, Riemann-Liouville operator, and so forth. …”
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Advanced Glycation End-Product-Modified Heat Shock Protein 90 May Be Associated with Urinary Stones by Takanobu Takata, Shinya Inoue, Kenshiro Kunii, Togen Masauji, Junji Moriya, Yoshiharu Motoo, Katsuhito Miyazawa

“…Background: Urinary stones (urolithiasis) have been categorized as kidney stones (renal calculus), ureteric stones (ureteral calculus and ureterolith), bladder stones (bladder calculus), and urethral stones (urethral calculus); however, the mechanisms underlying their promotion and related injuries in glomerular and tubular cells remain unclear. …”
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Bezier Curves Method for Fourth-Order Integrodifferential Equations by F. Ghomanjani, A. V. Kamyad, A. Kılıçman

“…Also, the presented method is developed for solving BVPs which arise from the problems in calculus of variation. These BVPs result from the Euler-Lagrange equations which are the necessary conditions of the extremums of problems in calculus of variation. …”
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Cholecystoduodenal Fistula and Urosepsis in A Febrile Emergency Department Patient: A Case Report by Amna Nawaz, Denise Elizondo, Bushra Hussein, Rebecca Theophanous

“…Case Report: We highlight the important POCUS findings of cholecystoduodenal fistula and staghorn calculus in a febrile, elderly patient with dementia. …”
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Vaginal Urinary Calculi Formation Secondary to Vaginal Mesh Exposure with Urinary Incontinence by Kara M. Griffiths, Geoffrey D. Towers, Jerome L. Yaklic

“…When identified, a vaginal calculus should be removed and evaluated for composition. …”
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Some remarks on the links between the VIR and Gompertz diffusion models and the links between the CIR and Rayleigh diffusion models by Abdenbi El Azri, Ahmed Nafidi

“…These links focus on elementary stochastic calculus and Itô’s calculus. Firstly, we prove that the square root of the CIR model is a SRDP. …”
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On nonlinear fractional Hahn integrodifference equations via nonlocal fractional Hahn integral boundary conditions by Nichaphat Patanarapeelert, Jiraporn Reunsumrit, Thanin Sitthiwirattham

“…All authors Fractional Hahn differences and fractional Hahn integrals have various applications in fields where discrete fractional calculus plays a significant role, such as in discrete biological modeling and signal processing to handle systems with memory effects. …”
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On Discrete Fractional Integral Inequalities for a Class of Functions by Saima Rashid, Hijaz Ahmad, Aasma Khalid, Yu-Ming Chu

“…Discrete fractional calculus ℱC is proposed to depict neural systems with memory impacts. …”
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Assessing the global dynamics of Nipah infection under vaccination and treatment: A novel computational modeling approach. by Fang Yu, Muhammad Younas Khan, Muhammad Bilal Riaz, Saif Ullah, Muhammad Farooq

“…In biology and life sciences, fractal theory and fractional calculus have significant applications in simulating and understanding complex problems. …”
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An Intelligent Crow Search Optimization and Bi-GRU for Forest Fire Detection System Using Internet of Things by Syed Abdul Moeed, Bellam Surendra Babu, M. Sreevani, B. V. Devendra Rao, R. Raja Kumar and Gouse Baig Mohammed

“…Crow Search Optimization (CSO) and fractional calculus are used to create an optimal solution in the proposed crow search fractional calculus optimization (CSFCO) algorithm for deep learning. …”
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Accuracy-Improved Fault Diagnosis Method for Rolling Bearing Based on Enhanced ESGMD-CC and BA-ELM Model by Wei Yuan, Fuzheng Liu, Hongbin Gu, Fei Miao, Faye Zhang, Mingshun Jiang

“…In order to increase the accuracy of fault diagnosis, it proposes a new fault diagnosis method based on enhanced Symplectic geometry mode decomposition with cosine difference factor and calculus operator (ESGMD-CC) and bat algorithm (BA) optimized extreme learning machine (ELM). …”
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Estimation of Integral Inequalities Using the Generalized Fractional Derivative Operator in the Hilfer Sense by Saima Rashid, Rehana Ashraf, Kottakkaran Sooppy Nisar, Thabet Abdeljawad

“…With the great progress of fractional calculus, integral inequalities have been greatly enriched by fractional operators; users and researchers have formed a real-world phenomenon in the production of the evaluation process, which results in convexity. …”
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Fractional-Order Modeling and Analysis of a Variable Structure Hybrid Energy Storage System for EVs by Jianlin Wang, Dan Xu, Jiahui Zhou, Jinlu Mao

“…Fortunately, the theory of fractional calculus can help build accurate mathematical models of hybrid energy storage systems. …”
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Integral HOMFLY-PT and sl(𝑛)-Link Homology by Daniel Krasner

“…Using the diagrammatic calculus for Soergel bimodules, developed by Elias and Khovanov, as well as Rasmussen's spectral sequence, we construct an integral version of HOMFLY-PT and sl(𝑛)-link homology.…”
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Stability and Stabilizing of Fractional Complex Lorenz Systems by Rabha W. Ibrahim

“…We study the stability and stabilization of complex fractional Lorenz system. The fractional calculus are taken in sense of the Caputo derivatives. …”
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Generalizations of Hölder’s and Some Related Integral Inequalities on Fractal Space by Guang-Sheng Chen

“…Based on the local fractional calculus, we establish some new generalizations of Hölder’s inequality. …”
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Cohomology of the variational complex in the class of exterior forms of finite jet order by Gennadi Sardanashvily

“…In particular, this provides a solution of the global inverse problem of the calculus of variations of finite order on fiber bundles.…”
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Analysis of Differentiation and Its Application. by Kirabo, Flavia

“…The purpose of this project was to analyze operational principles of differentiation in calculus and problems faced by mathematicians and scientists.…”
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Periodontal disease status and treatment need among a Kurdish population in Sulaimani - Iraq as assessed by CPITN index by Sarhang Sarwat Gul

“…The mean PI and BI were 0.64±24 and 0.39±0.28, respectively. Calculus was the most prevalent highest score amongst examined subjects (62.2%), followed by shallow pocket (22.2%) and bleeding (9%). …”
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Ureteral Dilatation with No Apparent Cause on Intravenous Urography: Normal or Abnormal? A Pilot Study by Vinita Rathi, Sachin Agrawal, Shuchi Bhatt, Naveen Sharma

“…We conclude that ureteral dilatation with no apparent cause on IVU may indicate urinary tract tuberculosis, urinary tract infection (E. coli), or a missed calculus. Thus, cases with a dilated ureter on IVU, having no obvious cause, should undergo a detailed clinicoradiological evaluation and CTU should be used judiciously.…”
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