Results 141 to 150 of about 481,023 (339)

Analytic solution for the space-time fractional Klein-Gordon and coupled conformable Boussinesq equations

Results in Physics, 2018
In this paper, we constructed a travelling wave solution for space-time fractional nonlinear partial differential equations by using the modified extended Tanh method with Riccati equation.
Muhannad A. Shallal, Hawraz N. Jabbar, Khalid K. Ali   +2 more
doaj  

Hyers–Ulam Stability Analysis of Nonlinear Volterra–Fredholm Integro-Differential Equation with Caputo Derivative

Fractal and Fractional
The main aim of this study is to examine the Hyers–Ulam stability of fractional derivatives in Volterra–Fredholm integro-differential equations using Caputo fractional derivatives.
Govindaswamy Gokulvijay, Salah Boulaaras, Sriramulu Sabarinathan   +2 more
doaj   +1 more source

Stereotactic radiosurgery for multiple small brain metastases using gamma knife versus single‐isocenter VMAT: Normal brain dose based on lesion number and size

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Purpose The study evaluates rapid linear accelerator (Linac) single isocenter stereotactic radiosurgery (SRS) with Hyperarc for large target numbers. We compared to Gamma Knife (GK), which suffers from long treatment times and investigated causes of differences. Methods Linac SRS and GK treatment plans for patients receiving 18 Gy to the gross
Abram Abdou, Timoteo Almeida, Elizabeth Bossart, Irene Monterroso, Eric A. Mellon   +4 more
wiley   +1 more source

Fractional differential equations driven by Lévy noise [PDF]

, 2003
Vo Anh, R. McVinish
openalex   +1 more source

Quantification and dosimetric impact of intra‐fractional bladder changes during CBCT‐guided online adaptive radiotherapy for pelvic cancer treatments

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Purpose This study quantitatively evaluates bladder changes and their dosimetric impact during the on‐couch adaptive process on a commercial CBCT‐based online adaptive radiotherapy (CT‐gART) platform. Methods Data from 183 fractions of ten patients receiving online ART for pelvic cancers were analyzed retrospectively.
Ingrid Valencia Lozano, Elizabeth Buss, Catherine S. Spina, David P. Horowitz, Lisa A. Kachnic, Michael Price, Yi‐Fang Wang, Reshma Munbodh   +7 more
wiley   +1 more source

On semilinear stochastic fractional differential equations of Volterra type [PDF]

, 2003
Vo Anh, Nikolai Leonenko, R. McVinish
openalex   +1 more source

Fractional Differential Equations

, 2017
Fractional calculus, the branch of mathematics dealing with derivatives and integrals of non-integer order, began as a mere mathematical curiosity during the time of Leibniz but through the years has developed into a very dynamic field of research. Famous mathematicians such as Riemann, Liouville, Grunwald, Euler, Lagrange, Caputo and
openaire   +1 more source

The closed-form solution by the exponential rational function method for the nonlinear variable-order fractional differential equations

Frontiers in Physics
The symmetry features of fractional differential equations allow effective explanation of physical and biological phenomena in nature. The generalized form of the fractional differential equations is the variable-order fractional differential equations ...
Mashael M. ALBaidani, Umair Ali, Abdul Hamid Ganie   +2 more
doaj   +1 more source

Semi‐automated hippocampal avoidance whole‐brain radiotherapy planning

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Background Hippocampal avoidance whole‐brain radiotherapy (HA‐WBRT) is designed to spare cognitive function by reducing radiation dose to the hippocampus during the treatment of brain metastases. Current manual planning methods can be time‐consuming and may vary in quality, necessitating the development of automated approaches to streamline ...
Dong Joo Rhee, Subha Perni, Kelly J. Perrin, Kevin E. Casey, Alexandra O. Leone, Callistus M. Nguyen, Laurence E. Court, He Wang, Xin Wang, Eun Young Han   +9 more
wiley   +1 more source

Some Volterra-Type Fractional Integro-Differential Equations with a Multivariable Confluent Hypergeometric Function as Their Kernel [PDF]

, 2005
H. M. Srivastava, R. K. Saxena
openalex   +1 more source