Results 31 to 40 of about 195,496 (282)
Partial Differential Equations in Applied MathematicsIn this paper, we study the existence, uniqueness, and stability analysis of non-linear implicit neutral fractional differential equations involving the Atangana–Baleanu derivative in the Caputo sense. The Banach contraction principle theorem is employed
V. Sowbakiya +3 more
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A result on the existence and uniqueness of stationary solutions for a bioconvective flow model
, 2017 In this note we prove the existence and uniqueness of weak solutions for the boundary value problem modelling the stationary case of the bioconvective flow problem introduced by Tuval et. al. (2005, {\it PNAS} 102, 2277--2282). We derive some appropriate
Coronel, Aníbal +3 more
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Generating and Adding Flows on Locally Complete Metric Spaces
, 2012 As a generalization of a vector field on a manifold, the notion of an arc field on a locally complete metric space was introduced in \cite{BC}. In that paper, the authors proved an analogue of the Cauchy-Lipschitz Theorem i.e they showed the existence ...
AI Panasyuk +14 more
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International Journal of Adaptive Control and Signal Processing, EarlyView.This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley +1 more source
Existence and uniqueness for a mixed fractional differential system with slit-strips conditions
Boundary Value ProblemsThis paper studies the existence and uniqueness of solutions for a new kind of mixed fractional differential systems with slit-strips conditions, containing Caputo-type fractional derivatives.
Pengyan Yu, Guoxi Ni, Chengmin Hou
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A Correlation Between Solutions of Uncertain Fractional Forward Difference Equations and Their Paths
Frontiers in Physics, 2020 We consider the comparison theorems for the fractional forward h-difference equations in the context of discrete fractional calculus. Moreover, we consider the existence and uniqueness theorem for the uncertain fractional forward h-difference equations ...
Hari Mohan Srivastava +1 more
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Classical solutions to quasilinear parabolic problems with dynamic boundary conditions
, 2015 We study linear nonautonomous parabolic systems with dynamic boundary conditions. Next, we apply these results to show a theorem of local existence and uniqueness of a classical solution to a second order quasilinear system with nonlinear dynamic ...
Guidetti, Davide
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International Journal of Adaptive Control and Signal Processing, EarlyView.This work introduces an adaptive human pilot model that captures pilot time‐delay effects in adaptive control systems. The model enables the prediction of pilot–controller interactions, facilitating safer integration and improved design of adaptive controllers for piloted applications.
Abdullah Habboush, Yildiray Yildiz
wiley +1 more source
Electronic Research ArchiveIn this paper, we study an initial value problem with a weakly singular nonlinear fractional differential equation of higher order. First, we establish the existence of global solutions to the problem within the appropriate function space.
Mufit San, Seyma Ramazan
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Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020 In this article the definition of strong solution of Ito-Skorokhod stochastic dynamic systems of random structure with external disturbances and all prehistory is presented, important inequalities, which are used to prove Existence and Uniqueness ...
В. К. Ясинський +1 more
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