Results 91 to 100 of about 1,036,048 (312)

Impulsive fractional differential inclusions with state-dependent delay [PDF]

Mathematica Moravica, 2019
In this paper, we prove the existence of mild solution for impulsive fractional inclusions with state-dependent delay in Banach spaces. Our study is based on the nonlinear alternative of Leray-Schauder type for multivalued maps due to Martelli.
Aissani Khalida, Benchohra Mouffak
doaj  

Compound Heterozygous MRPS14 Variants Associated With Leigh Syndrome

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT MRPS14 (uS14m) is a nuclear‐encoded ribosomal protein important for mitochondria‐specific translation. To date, only a single individual with a recessive MRPS14‐related disorder (also known as COXPD38) has been reported. We report an additional subject possessing novel compound heterozygous MRPS14 variants (p.Asp37Asn, p.Asn60Asp). The subject
Maria Gabriela Otero, Christina Freeman, Ruchi Shah, Renkui Bai, Hong Cui, Marian Castro, Zachary Myers, Eric Choy, Derek Chan, Molly Easter, Sophia Y. Zhao, Madeline Babros, Ruchi Garg, Matthew Deardorff, Franklin Moser, Tyler Mark Pierson   +15 more
wiley   +1 more source

Quasilinear nonlocal integrodifferential equations in Banach spaces

Electronic Journal of Differential Equations, 2008
In this paper, we study the existence of mild solutions for quasilinear integrodifferential equations with nonlocal conditions in Banach spaces. The results are established by using Hausdorff's measure of noncompactness.
Jin Zhang, Gang Li, Qixiang Dong
doaj  

Controllability of Mild Solution to Hilfer Fuzzy Fractional Differential Inclusion with Infinite Continuous Delay

Fractal and Fractional
This work investigates the solvability of the generalized Hilfer fractional inclusion associated with the solution set of a controlled system of minty type–fuzzy mixed quasi-hemivariational inequality (FMQHI).
Aeshah Abdullah Muhammad Al-Dosari
doaj   +1 more source

Existence of mild solutions for fractional neutral evolution equations

Computers & Mathematics with Applications, 2010
AbstractIn this paper, by using the fractional power of operators and some fixed point theorems, we discuss a class of fractional neutral evolution equations with nonlocal conditions and obtain various criteria on the existence and uniqueness of mild solutions. In the end, we give an example to illustrate the applications of the abstract results.
Feng Jiao, Yong Zhou
openaire   +2 more sources

Almost periodic solution in distribution for stochastic differential equations with Stepanov almost periodic coefficients

, 2017
This paper deals with the existence and uniqueness of ($\mu$-pseudo) almost periodic mild solution to some evolution equations with Stepanov ($\mu$-pseudo) almost periodic coefficients, in both determinist and stochastic cases.
Bedouhene, Fazia, Challali, Nouredine, de Fitte, Paul Raynaud, Mellah, Omar, Smaali, Mannal   +4 more
core  

CSF Biomarker‐Based Cognitive Trajectories in Parkinson's Disease‐Subjective Cognitive Decline

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Cognitive complaints without objective cognitive impairment in Parkinson's Disease, termed Parkinson's Disease‐Subjective Cognitive Decline (PD‐SCD), have been associated with cognitive decline. However, its progression is heterogeneous, highlighting the need for improved identification of patients at greater risk for deterioration ...
Jon Rodriguez‐Antiguedad, Arnau Puig‐Davi, Iñigo Ruíz‐Barrio, Javier Pagonabarraga, Anna Vázquez‐Oliver, Andrea Horta‐Barba, Jaime Kulisevsky, Saül Martínez‐Horta   +7 more
wiley   +1 more source

Existence and uniqueness of mild solution to fractional stochastic heat equation

Modern Stochastics: Theory and Applications, 2018
For a class of non-autonomous parabolic stochastic partial differential equations defined on a bounded open subset $D\subset {\mathbb{R}^{d}}$ and driven by an ${L^{2}}(D)$-valued fractional Brownian motion with the Hurst index $H>1/2$, a new result on ...
Kostiantyn Ralchenko, Georgiy Shevchenko
doaj   +1 more source

Precision‐Optimised Post‐Stroke Prognoses

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Current medicine cannot confidently predict who will recover from post‐stroke impairments. Researchers have sought to bridge this gap by treating the post‐stroke prognostic problem as a machine learning problem, reporting prediction error metrics across samples of patients whose outcomes are known.
Thomas M. H. Hope, Howard Bowman, Rachel M. Bruce, Alex P. Leff, Cathy J. Price   +4 more
wiley   +1 more source

Approximations of solutions to nonlinear Sobolev type evolution equations

Electronic Journal of Differential Equations, 2003
In the present work we study the approximations of solutions to a class of nonlinear Sobolev type evolution equations in a Hilbert space. These equations arise in the analysis of the partial neutral functional differential equations with unbounded delay.
Dhirendra Bahuguna, Reeta Shukla
doaj