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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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). …”
Get full text

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. …”
Get full text

Primary mucinous adenocarcinoma of the ureter and renal pelvis: A case report by Aparna A. N. Namshiker, Amala J. Kudchadker, R. G. Wiseman Pinto

“…Thus, a diagnosis of mucinous adenocarcinoma of the ureter and renal pelvis with intestinal metaplasia and dysplasia that occurred in association with a large staghorn calculus was made.…”
Get full text

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. …”
Get full text

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.…”
Get full text

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. …”
Get full text

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. …”
Get full text

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.…”
Get full text

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.…”
Get full text

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%). …”
Get full text

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.…”
Get full text

Bifurcation Problems for Generalized Beam Equations by Fosheng Wang

“…The proof of the main results relies heavily on calculus facts rather than such complicated arguments as Lyapunov-Schmidt reduction technique or Morse index theory from nonlinear functional analysis.…”
Get full text

Existence of Weak Solutions for Fractional Integrodifferential Equations with Multipoint Boundary Conditions by Haide Gou, Baolin Li

“…By combining the techniques of fractional calculus with measure of weak noncompactness and fixed point theorem, we establish the existence of weak solutions of multipoint boundary value problem for fractional integrodifferential equations.…”
Get full text

An improved meta-heuristic algorithm to optimize the fractional-order controller for an industrial manipulator with a parallelogram structure by Nazila Nikdel

“…Therefore, this article pursues two main objectives: 1) controlling the robotic system by presenting a method based on fractional-order calculus so that it can control the system despite its complexity and non-linearity, 2) presenting the meta-heuristic algorithm "Improved Grey Wolf" to optimize the system response.Methodology: First, the mathematical model of the robot is presented based on Lagrange rules, and then the fractional-order calculus is used to design the controller. …”
Get full text

A novel approach to Lyapunov stability of Caputo fractional dynamic equations on time scale using a new generalized derivative by Michael Precious Ineh, Edet Peter Akpan, Hossam A. Nabwey

“…The proposed framework extended beyond the limitations of traditional integer-order calculus, offering a more flexible and generalizable tool for researchers working with dynamic systems. …”
Get full text