Results 31 to 40 of about 10,319 (253)

Euler–Lagrange equations for variational problems involving the Riesz–Hilfer fractional derivative

Journal of Taibah University for Science, 2020
In this paper, we obtain the Euler-Lagrange equations for different kind of variational problems with the Lagrangian function containing the Riesz-Hilfer fractional derivative.
A. G. Ibrahim, A. A. Elmandouh
doaj   +1 more source

Using Integration by Parts for Fractional Calculus to Solve Some Fractional Integral Problems

, 2023
Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus, we solve some fractional integrals by using integration by parts for fractional calculus. A new multiplication of fractional analytic functions plays an important role in this article.
openaire   +2 more sources

Rectified fractional order iterative learning control for linear system with initial state shift

Advances in Difference Equations, 2018
In this paper, a new rectifying action is combined into different proportional-α-order-derivative-type iterative learning control algorithms for a class of fractional order linear time-invariant systems.
Lei Li
doaj   +1 more source

Feynman diagrams and a combination of the integration by parts and the integration by fractional expansion techniques [PDF]

, 2009
In this paper, we show how to improve and extend the integration by fractional expansion technique (IBFE) by applying it to certain families of scalar massive Feynman diagrams.
I. González, M. Loewe
semanticscholar   +1 more source

Multiple fractional part integrals and Euler's constant [PDF]

Miskolc Mathematical Notes, 2016
Summary: The paper is about calculating multiple fractional part integrals of the form \[ \int_0^1 \int_0^1 (x+y)^k \left\{ \frac{1}{x+y} \right\}^p d x d y \text{ and } \int_0^1 \int_0^1 \int_0^1 (x+y)^k \left\{ \frac{1}{x+y+z} \right\}^m d x d y d z, \] where \(\{x\}\) denotes the fractional part of \(x\) and \(k,m\) and \(p\) are nonnegative ...
openaire   +2 more sources

Characteristics analysis of rotor model with support–foundation looseness fault considering elastic–plastic contact

Journal of Low Frequency Noise, Vibration and Active Control, 2020
In this paper, the nonlinear response characteristics of a single degree of freedom lumped mass model with a new support looseness fault are analyzed. In this model, a new nonlinear contact stiffness model between the support and foundation is considered,
Wang Haifei, Gong Junjie
doaj   +1 more source

Erdélyi-Type Integrals for F_K Function and Their q-Analogues

Fractal and Fractional
In this paper, we revisit the recent result of Luo, Xu, and Raina on an Erdélyi-type integral for Saran’s three-variable hypergeometric function FK.
Liang-Jia Guo, Min-Jie Luo
doaj   +1 more source

Application of Integration by Parts for Fractional Calculus in Solving Two Types of Fractional Definite Integrals

, 2023
Abstract: In this paper, based on Jumarie type of Riemann-Liouville (R-L) fractional calculus and a new multiplication of fractional analytic functions, we solve two types of fractional definite integrals of fractional trigonometric functions. The exact solutions of these two types of fractional definite integrals can be obtained by using integration ...
openaire   +2 more sources

Feasibility and Safety of Somato‐Cognitive Coordination Therapy for Cerebellar Ataxia Following Pediatric Brain Tumor Treatment

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Cerebellar ataxia after pediatric brain tumor treatment can cause persistent gait, balance, and speech impairment, yet no established rehabilitation strategy exists. Somato‐cognitive coordination therapy (SCCT) is a virtual reality–guided intervention designed to promote sensorimotor integration through visually constrained reaching
Masanobu Takeuchi, Takashi Matsuzawa, Jun Yamanishi, Masahiro Yoshitomi, Junji Ikeda, Shin‐Ichi Tsujimoto, Yasuteru Yamaguchi, Norio Shiba, Dhroov Pathare, Ayumi Kato, Masahiko Hara   +10 more
wiley   +1 more source

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

Pediatric 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, Stephen Mihalcik, Sujith Baliga, Young Kwok, Dana Casey, Eric Ehler, Christiane Burton, John C. Breneman, Daphne A. Haas‐Kogan, Suzanne L. Wolden, Arnold C. Paulino, Nadia N. Laack, Natia Esiashvili, Sarah Milgrom, Christine Hill‐Kayser, Thomas J. Fitzgerald, John A. Kalapurakal, Chia‐Ho Hua   +17 more
wiley   +1 more source