Results 21 to 30 of about 8,551 (258)

Fractional Calculus as a Simple Tool for Modeling and Analysis of Long Memory Process in Industry

open access: yesMathematics, 2019
This paper deals with the application of the fractional calculus as a tool for mathematical modeling and analysis of real processes, so called fractional-order processes. It is well-known that most real industrial processes are fractional-order ones. The
Ivo Petráš, Ján Terpák
doaj   +1 more source

Fractional Differential and Integrating Equations by Numerical Solution

open access: yesINTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH, 2022
The main objective of this paper is to investigate a new fractional mathematical model that includes a nonsingular derivative factor. The basic properties of the new model including non-negative, finite solution, numerical simulations are shown, and some discussions from mathematical perspectives are given. Then, the optimal control problem for the new
openaire   +1 more source

Fractional-Order Active Disturbance Rejection Control with Fuzzy Self-Tuning for Precision Stabilized Platform

open access: yesEntropy, 2022
In this paper, a novel fractional-order active disturbance rejection control with fuzzy self-tuning method (FSFOADRC) is proposed for photoelectric tracking system (PTS).
Jianjian Zhao, Tao Zhao, Nian Liu
doaj   +1 more source

Application of Bernoulli Polynomials for Solving Variable-Order Fractional Optimal Control-Affine Problems

open access: yesAxioms, 2020
We propose two efficient numerical approaches for solving variable-order fractional optimal control-affine problems. The variable-order fractional derivative is considered in the Caputo sense, which together with the Riemann–Liouville integral operator ...
Somayeh Nemati, Delfim F. M. Torres
doaj   +1 more source

Guidelines for Pediatric Radiotherapy Simulation: A Report From the Children's Oncology Group Radiation Oncology Discipline

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric radiation therapy presents unique challenges compared to adult treatments, including those of immobilization, potential need for sedation, and the critical importance of accurate, reproducible positioning. Additionally, heightened attention to imaging doses is necessary to minimize long‐term toxicity in survivors.
Parham Alaei   +17 more
wiley   +1 more source

Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?

open access: yesFEBS Letters, EarlyView.
This graphical summary illustrates the roles of phosphatidylinositol 4‐kinases (PI4Ks). PI4Ks regulate key cellular processes and can be hijacked by pathogens, such as viruses, bacteria and parasites, to support their intracellular replication. Their dual role as essential host enzymes and pathogen cofactors makes them promising drug targets.
Ana C. Mendes   +3 more
wiley   +1 more source

New Multiplicity Results for a Boundary Value Problem Involving a ψ-Caputo Fractional Derivative of a Function with Respect to Another Function

open access: yesFractal and Fractional
This paper considers a nonlinear impulsive fractional boundary value problem, which involves a ψ-Caputo-type fractional derivative and integral.
Yankai Li   +3 more
doaj   +1 more source

Discrete Laplacian Operator and Its Applications in Signal Processing

open access: yesIEEE Access, 2020
Fractional calculus has increased in popularity in recent years, as the number of its applications in different fields has increased. Compared to the traditional operations in calculus (integration and differentiation) which are uniquely defined, the ...
Waseem Waheed, Guang Deng, Bo Liu
doaj   +1 more source

The (Glg)ABCs of cyanobacteria: modelling of glycogen synthesis and functional divergence of glycogen synthases in Synechocystis sp. PCC 6803

open access: yesFEBS Letters, Volume 600, Issue 15, Page 2175-2192, August 2026.
We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee   +3 more
wiley   +1 more source

A new scheme for the solution of the nonlinear Caputo–Hadamard fractional differential equations

open access: yesAlexandria Engineering Journal
This paper introduces a numerical approach by generalizing Legendre wavelets for solving nonlinear Caputo–Hadamard fractional differential equations. The methodology involves the extension of classical Legendre wavelets, namely the generalized Legendre ...
Umer Saeed, Mujeeb ur Rehman
doaj   +1 more source

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