Results 41 to 50 of about 627 (90)
A novel algorithm for time-fractional foam drainage equation
Alexandria Engineering Journal, 2020 In this work, we present a novel numerical algorithm for solving the nonlinear time-fractional foam drainage equation at early stages of the time. The analytical solution of the nonlinear time-fractional foam drainage equation is represented by a linear ...
Qasem M. Al-Mdallal +2 more
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Weak Cyclic Monotonicity and Existence of Solutions of Differential Inclusions [PDF]
, 2014 The notion of weak cyclic monotonicity of set-valued maps generalizing the cyclic monotonicity is introduced. The existence of solutions of differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in R^n is ...
Farkhi, Elza
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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
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Nonautonomous Dynamical Systems, 2019 The main motive of this research article is to establish the existence, uniqueness and stability results for the non-linear fractional differential equation with impulsive condition on time scales.
Kumar Vipin, Malik Muslim
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On solvability of an indefinite Riccati equation [PDF]
, 2013 This note concerns a class of matrix Riccati equations associated with stochastic linear-quadratic optimal control problems with indefinite state and control weighting costs. A novel sufficient condition of solvability of such equations is derived, based
Du, Kai
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On second-order linear Stieltjes differential equations with non-constant coefficients
Open MathematicsIn this work, we define the notions of Wronskian and simplified Wronskian for Stieltjes derivatives and study some of their properties in a similar manner to the context of time scales or the usual derivative.
Fernández Francisco J. +2 more
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A Closed-Form Solution to the Arbitrary Order Cauchy Problem with Propagators [PDF]
, 2014 The general abstract arbitrary order (N) Cauchy problem was solved in a closed form as a sum of exponential propagator functions. The infinite sparse exponential series was solved with the aid of a homogeneous differential equation. It generated a linear
Stenlund, Henrik
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Existence of Solutions for Nonconvex Differential Inclusions of Monotone Type [PDF]
, 2013 Differential inclusions with compact, upper semi-continuous, not necessarily convex right-hand sides in R^n are studied. Under a weakened monotonicity-type condition the existence of solutions is proved.Comment: 5 pages, 14 ...
Baier, Robert +2 more
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An Analytical Framework to Describe the Interactions Between Individuals and a Continuum
, 2010 We consider a discrete set of individual agents interacting with a continuum. Examples might be a predator facing a huge group of preys, or a few shepherd dogs driving a herd of sheeps.
A. Bressan +14 more
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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
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