Results 31 to 40 of about 55,130 (243)

Nonlinear integro-differential equations

Journal of Mathematical Extension, 2010
Summary: The continuous Legendre wavelets constructed on the interval \([0,1]\) are used to solve the nonlinear Fredholm integrodifferential equation. The nonlinear part of integro-differential is approximated by Legendre wavelets, and the nonlinear integro-differential is reduced to a system of nonlinear equations.
S. Mahdavi∗, M. Tavassoli Kajani
openaire   +2 more sources

Establishing an assay to evaluate d‐amino acid oxidase enzyme kinetics and inhibition using WST‐8 redox dye

FEBS Open Bio, EarlyView.
This study investigated a novel WST‐8‐based assay for evaluating d‐Amino acid oxidase (DAO) inhibitors. We confirmed its effectiveness using known inhibitors and found that uremic toxins possess relatively weak inhibitory activity compared to existing drugs.
Kahoko Miyake, Yuki Enoki, Yuka Nakazawa, Kazuaki Taguchi, Kazuaki Matsumoto   +4 more
wiley   +1 more source

The Extended Trial Equation Method for Some Time Fractional Differential Equations

Discrete Dynamics in Nature and Society, 2013
Nonlinear fractional partial differential equations have been solved with the help of the extended trial equation method. Based on the fractional derivative in the sense of modified Riemann-Liouville derivative and traveling wave transformation, the ...
Yusuf Pandir, Yusuf Gurefe, Emine Misirli   +2 more
doaj   +1 more source

When Nonlinear Differential Equations are Equivalent to Linear Differential Equations [PDF]

SIAM Journal on Applied Mathematics, 1982
A necessary and sufficient condition is established for the existence of a 1-1 transformation of a system of nonlinear differential equations to a system of linear equations. The obtained theorems enable one to construct such transformations from the invariance groups of differential equations.
Kumei, Sukeyuki, Bluman, George W.
openaire   +2 more sources

The McCance Brain Care Score and Mortality: Evidence From a Large‐Scale Population‐Based Cohort

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objectives This study aimed to examine the relationship between the McCance Brain Care Score (BCS) and mortality in the general population. Methods We conducted a prospective, population‐based cohort study using data from the UK Biobank. Participants with complete data enabling calculation of BCS and full mortality information were included ...
Zhiqiang Xu, Xiaoxiao Wang, Nan Li
wiley   +1 more source

A note on exp-function method combined with complex transform method applied to fractional differential equations

Advances in Nonlinear Analysis, 2015
In this article, the fractional derivatives in the sense of modified Riemann–Liouville and the exp-function method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Liouville ...
Guner Ozkan, Bekir Ahmet, Bilgil Halis
doaj   +1 more source

An ordinary integro-differential equation with a degenerate kernel and an integral condition

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
We consider the questions of one value solvability of the nonlocal boundary value problem for a nonlinear ordinary integro-differential equation with a degenerate kernel and a reflective argument.
Tursun K Yuldashev
doaj   +1 more source

Temporal Trends in and Associations With Nonsteroidal Anti‐inflammatory Drug Prescription in Adult and Pediatric Patients With Inflammatory Bowel Disease

Arthritis Care &Research, EarlyView.
Objective Recent inflammatory bowel disease (IBD) treatment guidelines have recommended against nonsteroidal anti‐inflammatory drug (NSAID) use despite prevalent musculoskeletal symptoms and opioid overuse in this population. Given the discordance between changing national guidelines and potential clinical utility, we sought to assess national temporal
Adam S. Mayer, Rui Xiao, Andrew Grossman, Meenakshi Bewtra, Michael D. George, Pamela F. Weiss   +5 more
wiley   +1 more source

New applications of the two variable (G′/G, 1/G)-expansion method for closed form traveling wave solutions of integro-differential equations

Journal of Ocean Engineering and Science, 2019
Most fundamental themes in mathematical physics and modern engineering are investigated by the closed form traveling wave solutions of nonlinear evolution equations.
M. Mamun Miah, H.M. Shahadat Ali, M. Ali Akbar, Aly R. Seadawy   +3 more
doaj   +1 more source

Assessment of Skin in Patients With Systemic Sclerosis Using High‐Frequency Ultrasound and Shear Wave Elastography: A Comparative Study With Histology, Molecular, and Clinical Parameters

Arthritis Care &Research, EarlyView.
Objective Ultrasound (US) has been proposed as a potential tool for assessing skin fibrosis in systemic sclerosis (SSc). However, a large‐scale comparison of US‐based assessment with histologic markers of skin fibrosis has not been reported. We evaluated US‐based skin assessments for their face validity (differentiation between involved SSc and healthy
Ruhani Desai, Filemon Tan, Minghua Wu, Jeffery L. Browning, Samuel Theodore, Meng Zhang, Brian Skaug, Harshdeep Singh Chawla, Manmohan Singh, Salavat Aglyamov, Kirill V. Larin, Maureen Mayes, Shervin Assassi   +12 more
wiley   +1 more source