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441
Integral φ0-Stability in terms of Two Measures for Impulsive Differential Equations with “Supremum”
Published 2014-01-01“…This paper establishes a criterion on integral φ0-stability in terms of two measures for impulsive differential equations with “supremum” by using the cone-valued piecewise continuous Lyapunov functions, Razumikhin method, and comparative method. …”
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442
Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative
Published 2021-01-01“…In this article, we investigate the existence, uniqueness, and different kinds of Ulam–Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo–Katugampola fuzzy fractional derivative. …”
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443
On the Existence of Positive Periodic Solutions for Second-Order Functional Differential Equations with Multiple Delays
Published 2012-01-01“…The existence results of positive ω-periodic solutions are obtained for the second-order functional differential equation with multiple delays u″(t)+a(t)u(t)=f(t,u(t),u(t−τ1(t)),…,u(t−τn(t))), where a(t)∈C(ℝ) is a positive ω-periodic function, f:ℝ×[0,+∞)n+1→[0,+∞) is a continuous function which is ω-periodic in t, and τ1(t),…,τn(t)∈C(ℝ,[0,+∞)) are ω-periodic functions. …”
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444
Revised Variational Iteration Method for Solving Systems of Nonlinear Fractional-Order Differential Equations
Published 2013-01-01“…A modification of the variational iteration method (VIM) for solving systems of nonlinear fractional-order differential equations is proposed. The fractional derivatives are described in the Caputo sense. …”
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445
Some Existence Results for Impulsive Nonlinear Fractional Differential Equations with Closed Boundary Conditions
Published 2012-01-01“…We investigate some existence results for the solutions to impulsive fractional differential equations having closed boundary conditions. …”
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446
Existence of Solutions for Fractional Differential Equations with p-Laplacian Operator and Integral Boundary Conditions
Published 2020-01-01“…In this paper, we investigate a class of integral boundary value problems of fractional differential equations with a p-Laplacian operator. Existence of solutions is obtained by using the fixed point theorem, and an example is given to show the applicability of our main result.…”
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447
On the existence of solutions to fractional differential equations involving Caputo q-derivative in Banach spaces
Published 2025-01-01“…Our choice in this research is the generalization of Caputo-type fractional discrete differential equations that include two or more fractional q-integrals. …”
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448
Some Qualitative Analyses of Neutral Functional Delay Differential Equation with Generalized Caputo Operator
Published 2021-01-01“…In this paper, a new class of a neutral functional delay differential equation involving the generalized ψ-Caputo derivative is investigated on a partially ordered Banach space. …”
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449
Analytic Solutions for a Functional Differential Equation Related to a Traffic Flow Model
Published 2012-01-01“…We study the existence of analytic solutions of a functional differential equation (z(s)+α)2z'(s)=β(z(s+z(s))-z(s)) which comes from traffic flow model. …”
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450
Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow
Published 2006-01-01“…Differential Equations and Nonlinear Mechanics…”
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451
Existence Theory for Pseudo-Symmetric Solution to 𝑝-Laplacian Differential Equations Involving Derivative
Published 2011-01-01“…We all-sidedly consider a three-point boundary value problem for 𝑝-Laplacian differential equation with nonlinear term involving derivative. …”
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452
Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions
Published 2022-01-01“…In this paper, we introduce the nonlinear Fredholm integro-differential equation of the second kind with singular kernel in two-dimensional NT-DFIDE. …”
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453
Almost Surely Asymptotic Stability of Numerical Solutions for Neutral Stochastic Delay Differential Equations
Published 2011-01-01“…We investigate the almost surely asymptotic stability of Euler-type methods for neutral stochastic delay differential equations (NSDDEs) using the discrete semimartingale convergence theorem. …”
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454
Existence and Monotone Iterative Approximation of Solutions for Neutral Differential Equations with Generalized Fractional Derivatives
Published 2022-01-01“…We study the existence and monotone iterative approximation of mild solutions of fractional-order neutral differential equations involving a generalized fractional derivative of order 0<α<1 which can be reduced to Riemann–Liouville or Hadamard fractional derivatives. …”
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455
Existence of Wave Front Solutions of an Integral Differential Equation in Nonlinear Nonlocal Neuronal Network
Published 2014-01-01“…The main idea we apply here is to reduce the nonlinear integral-differential equation into a solvable differential equation and test whether the solution we get is really a wave front solution of the model equation.…”
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456
Asymptotic Dichotomy in a Class of Fourth-Order Nonlinear Delay Differential Equations with Damping
Published 2009-01-01“…All solutions of a fourth-order nonlinear delay differential equation are shown to converge to zero or to oscillate. …”
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457
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458
A delay-differential equation model of HIV related cancer--immune system dynamics
Published 2011-03-01Get full text
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459
Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations
Published 1992-01-01“…In this paper coupled implicit initial-boundary value systems of second order partial differential equations are considered. Given a finite domain and an admissible error ϵ an analytic approximate solution whose error is upper bounded by ϵ in the given domain is constructed in terms of the data.…”
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460
Numerical Integration of a Class of Singularly Perturbed Delay Differential Equations with Small Shift
Published 2012-01-01“…International Journal of Differential Equations…”
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