Results 131 to 140 of about 481,023 (339)

Optical soliton solutions for space fractional Schrödinger equation using similarity method

Results in Physics, 2023
In this paper, the similarity method is employed to solve the space-fractional Schrödinger equation, and the fractional derivative is defined in the Riesz sense.
Khalid K. Ali, M. Maneea
doaj  

Stereotactic radiotherapy for metastatic brain tumors: A comparative analysis of dose distributions among VMAT, Helical TomoTherapy, CyberKnife, Gamma Knife, and ZAP‐X

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract This study evaluates various radiotherapy techniques for treating metastatic brain tumor (BT), focusing on non‐coplanar volumetric modulated arc radiotherapy (NC‐VMAT), coplanar VMAT (C‐VMAT), Helical TomoTherapy (HT), CyberKnife (CK), Gamma Knife (GK), and ZAP‐X.
Toshihiro Suzuki, Masahide Saito, Ryutaro Nomura, Hikaru Nemoto, Naoto Yanagisawa, Ryuma Sawada, Zennosuke Mochizuki, Naoki Sano, Hiroshi Onishi, Hiroshi Takahashi   +9 more
wiley   +1 more source

Stationarity-conservation laws for certain linear fractional differential equations [PDF]

, 2001
Małgorzata Klimek
openalex   +1 more source

Lie symmetry analysis, conservation laws and exact solutions of the seventh-order time fractional Sawada–Kotera–Ito equation

Results in Physics, 2016
In this paper Lie symmetry analysis of the seventh-order time fractional Sawada–Kotera–Ito (FSKI) equation with Riemann–Liouville derivative is performed.
Emrullah Yaşar, Yakup Yıldırım, Chaudry Masood Khalique   +2 more
doaj  

A comparative analysis of deep learning architectures with data augmentation and multichannel input for locoregional breast cancer radiotherapy

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Purpose Studies on deep learning dose prediction increasingly focus on 3D models with multiple input channels and data augmentation, which increases the training time and thus also the environmental burden and hampers the ease of re‐training. Here we compare 2D and 3D U‐Net models with clinical accepted plans to evaluate the appropriateness of
Rosalie Klarenberg, Nienke L. M. Bakx, Coen W. Hurkmans   +2 more
wiley   +1 more source

Space-time estimates of linear flow and application to some nonlinear integro-differential equations corresponding to fractional-order time derivative [PDF]

, 2002
Hitoshi Hirata, Changxing Miao
openalex   +1 more source

Numerical study of fractional model of multi-dimensional dispersive partial differential equation

Journal of Ocean Engineering and Science, 2019
This article is devoted to a newly introduced numerical method for time-fractional dispersive partial differential equation in a multi-dimensional space.
Vijay Verma, Amit Prakash, Devendra Kumar, Jagdev Singh   +3 more
doaj  

Exact solutions of the conformable fractional EW and MEW equations by a new generalized expansion method

Journal of Ocean Engineering and Science, 2020
In this paper, we used the generalized (G'/G)-expansion method to construct exact solutions for conformable fractional nonlinear partial differential equations.
Muhannad A. Shallal, Khalid K. Ali, Kamal R. Raslan, Hadi Rezazadeh, Ahmet Bekir   +4 more
doaj  

Fractional Sensitivity Equation Method: Applications to Fractional Model Construction [PDF]

arXiv, 2018
Fractional differential equations provide a tractable mathematical framework to describe anomalous behavior in complex physical systems, yet they introduce new sensitive model parameters, i.e. derivative orders, in addition to model coefficients. We formulate a sensitivity analysis of fractional models by developing a fractional sensitivity equation ...
arxiv  

Monte Carlo modeling of radiation dose from radiation therapy with superficial x‐rays

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Introduction Superficial x‐rays (50–100 kVp) are used for treating non‐melanoma skin cancer and intraoperative radiation therapy (IORT). At these energies, the photoelectric effect significantly increases absorbed dose to bone compared to soft tissue.
Reham Barghash, Tiffany W. Martin, Amber R. Prebble, Del Leary   +3 more
wiley   +1 more source