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
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
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Fractional Differential and Integrating Equations by Numerical Solution
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
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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
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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
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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
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Phosphatidylinositol 4‐kinase as a target of pathogens—friend or foe?
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
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This paper considers a nonlinear impulsive fractional boundary value problem, which involves a ψ-Caputo-type fractional derivative and integral.
Yankai Li +3 more
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Discrete Laplacian Operator and Its Applications in Signal Processing
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
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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
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A new scheme for the solution of the nonlinear Caputo–Hadamard fractional differential equations
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
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