Results 71 to 80 of about 825 (124)
Development of Aβ and anti-Aβ dynamics models for Alzheimer’s disease
Computational and Mathematical BiophysicsAlzheimer’s disease is one of the most prevalent types of dementia worldwide. It is caused by the accumulation of amyloid-beta (Aβ) plaques in the brain, disrupting communication pathways and memory.
Cindyawati Cindyawati +3 more
doaj +1 more source
FLOW WITH $A_{\infty }(\mathbb{R})$ DENSITY AND TRANSPORT EQUATION IN $\text{BMO}(\mathbb{R})$
Forum of Mathematics, Sigma, 2019 We show that, if $b\in L^{1}(0,T;L_{\operatorname{loc}}^{1}(\mathbb{R}))$ has a spatial derivative in the John–Nirenberg space $\operatorname{BMO}(\mathbb{R})$, then it generates a unique flow $\unicode[STIX]{x1D719}(t,\cdot )$ which has an $A_{\infty }(\
RENJIN JIANG, KANGWEI LI, JIE XIAO
doaj +1 more source
, 2012 This article studies the existence and dimension of the set for mild solutions of semilinear fractional differential inclusions. We recall and prove some new results on multivalued maps to establish our main results.MSC 2010: 34A12; 34A40.
R. Agarwal +3 more
semanticscholar +1 more source
Radial transonic shock solutions of Euler-Poisson system in convergent nozzles
, 2017 Given constant data of density $\rho_0$, velocity $-u_0{\bf e}_r$, pressure $p_0$ and electric force $-E_0{\bf e}_r$ for supersonic flow at the entrance, and constant pressure $p_{\rm ex}$ for subsonic flow at the exit, we prove that Euler-Poisson system
Bae, Myoungjean, Park, Yong
core +1 more source
, 2018 In this paper, the authors prove an existence and approximation theorem for positive solutions to a nonlinear first order quadratic hybrid neutral functional differential equations with delay and maxima under mixed geometric, algebraic, and topological ...
B. Dhage, S. Dhage, J. Graef
semanticscholar +1 more source
, 2012 This article studies a new class of nonlocal boundary value problems of nonlinear differential equations and inclusions of fractional order with strip conditions.
B. Ahmad, S. Ntouyas
semanticscholar +1 more source
Convex Solutions of an Iterative Functional Differential Equation
Annales Mathematicae SilesianaeIn this paper, by Schauder's fixed point theorem and the Banach contraction principle, we consider the existence, uniqueness, and stability of convex solutions of a nonhomogeneous iterative functional differential equation.
Li Lin Huang, Hou Yu Zhao
doaj +1 more source
Solutions of a coupled system of hybrid boundary value problems with Riesz-Caputo derivative
Demonstratio MathematicaRiesz-Caputo fractional derivative refers to a fractional derivative that reflects both the past and the future memory effects. This study gives sufficient conditions for the existence of solutions for a coupled system of fractional order hybrid ...
Ji Dehong, Fu Shiqiu, Yang Yitao
doaj +1 more source
Open Mathematics, 2015 Classical models of clusters’ fission have failed to fully explain strange phenomenons like the phenomenon of shattering (Ziff et al., 1987) and the sudden appearance of infinitely many particles in some systems with initial finite particles number ...
Goufo Emile Franc Doungmo +1 more
doaj +1 more source
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 In this paper, we discus the existence of solutions for Riemann- Liouville fractional differential inclusions supplemented with Erdélyi- Kober fractional integral conditions.
Ahmad Bashir, Ntouyas Sotiris K.
doaj +1 more source