Results 41 to 50 of about 58,702 (266)

Fractional-calculus diffusion equation [PDF]

Nonlinear Biomedical Physics, 2010
Sequel to the work on the quantization of nonconservative systems using fractional calculus and quantization of a system with Brownian motion, which aims to consider the dissipation effects in quantum-mechanical description of microscale systems.The canonical quantization of a system represented classically by one-dimensional Fick's law, and the ...
Ajlouni, Abdul-Wali M. S., Al-Rabai'ah, Hussam A.   +1 more
openaire   +2 more sources

Financial Burden Associated With Hospitalisation Among Families of Childhood Brain Tumours in Australia

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Families of children with cancer experience significant financial strain, even with universal healthcare. Indirect costs, such as productivity losses and non‐medical expenses, are rarely included in economic evaluations, and little is known about how effectively financial aid programmes alleviate this burden. Childhood brain tumours
Megumi Lim, Natalie Bradford, David Brain, Sameera Senanayake, Sanjeewa Kularatna, Kate Young, Christine Cashion, Tim Hassall, Susanna Cramb   +8 more
wiley   +1 more source

Feasibility and Safety of High‐Dose Proton Re‐Irradiation in Recurrent Pediatric Central Nervous System Tumors: A Single‐Institution Retrospective Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Purpose Pediatric central nervous system (CNS) tumors often recur despite multimodality therapy. Although re‐irradiation (re‐RT) has historically been limited by concerns for severe late toxicities, modern techniques have renewed interest in this approach. Proton therapy provides dosimetric advantages that may enable curative re‐treatment with
Jin‐Ho Song, Jonathan Baron, Carlos Chavez Perez, Sidharth Ramesh, Jane Minturn, Kavita A. Desai, Amish C. Shah, Jean M. Belasco, Kristina A. Cole, Michael J. Fisher, Phillip B. Storm, Peter M. Madsen, Goldie Kurtz, Robert A. Lustig, Christine Hill‐Kayser, Michael J. LaRiviere   +15 more
wiley   +1 more source

Research on Application of Fractional Calculus Operator in Image Underlying Processing

Fractal and Fractional
Fractional calculus extends traditional, integer-based calculus to include non-integer orders, offering a powerful tool for a range of engineering applications, including image processing.
Guo Huang, Hong-ying Qin, Qingli Chen, Zhanzhan Shi, Shan Jiang, Chenying Huang   +5 more
doaj   +1 more source

Multivariable Fractional-Order Controller Design for a Nonlinear Dual-Tank Device

Fractal and Fractional, 2023
Fractional calculus is defined by expanded integer order integration and differentiation. In this paper, multiple mathematical models of a nonlinear dual-tank device are precisely formulated by fractional calculus.
Ryota Kochi, Mingcong Deng
doaj   +1 more source

Holder exponents of irregular signals and local fractional derivatives

, 1997
It has been recognized recently that fractional calculus is useful for handling scaling structures and processes. We begin this survey by pointing out the relevance of the subject to physical situations.
A Arneodo, A B Chhabra, A Juneja, A Ott, A S Besicovitch, A Zygmund, Anil D Gangal, B B Mandelbrot, B B Mandelbrot, B B Mandelbrot, B Ross, C Meneveau, E M Stein, E M Stein, G H Hardy, G H Hardy, G Jumarie, G M Zaslavsky, G V Welland, H C Fogedby, H E Roman, I Daubechies, I Eyink, J D Farmer, J F Muzy, J Feder, J Gerver, J J Duistermaat, J L Kaplan, J P Bouchaud, K B Oldham, K Falconer, K L Sebastian, K M Kolwankar, K S Miller, K Sarkar, Kiran M Kolwankar, L F Abott, M F Schlesinger, M F Shlesinger, M F Shlesinger, M F Shlesinger, M Giona, M H Jensen, M Holschneider, M Holschneider, M V Berry, M Zähle, N Patzschke, P Collet, P Constantin, P Constantin, R Benzi, R Benzi, R Cawley, R D Mauldin, R Hilfer, R Hilfer, R P Feynmann, R Riedi, S Jaffard, T C Halsey, T H Solomon, T J Osler, T Vicsek, T W Körner, U Frisch, W G Glöckle, W R Schneider, W Wyss   +69 more
core   +2 more sources

Dietary Protein Intake and Peritoneal Protein Losses in Peritoneal Dialysis Patients

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Peritoneal dialysis (PD) patients lose protein in their waste dialysate, potentially increasing their risk for malnutrition. We wished to determine whether there was any association between losses and dietary protein intake (DPI). Methods DPI was assessed from 24‐h dietary recall using Nutrics software.
Haalah Shaaker, Andrew Davenport
wiley   +1 more source

On the Rigorous Correspondence Between Operator Fractional Powers and Fractional Derivatives via the Sonine Kernel

Fractal and Fractional
Traditional operational calculus, while intuitive and effective in addressing problems in physical fractal spaces, often lacks the rigorous mathematical foundation needed for fractional operations, sometimes resulting in inconsistent outcomes. To address
Zelin Liu, Xiaobin Yu, Yajun Yin
doaj   +1 more source

Fractional Solutions of Bessel Equation with -Method

The Scientific World Journal, 2013
This paper deals with the design fractional solution of Bessel equation. We obtain explicit solutions of the equation with the help of fractional calculus techniques.
Erdal Bas, Resat Yilmazer, Etibar Panakhov   +2 more
doaj   +1 more source

General Fractional Calculus: Multi-Kernel Approach

Mathematics, 2021
For the first time, a general fractional calculus of arbitrary order was proposed by Yuri Luchko in 2021. In Luchko works, the proposed approaches to formulate this calculus are based either on the power of one Sonin kernel or the convolution of one ...
Vasily E. Tarasov
doaj   +1 more source