Results 31 to 40 of about 2,362 (264)
On some impulsive fractional differential equations in Banach spaces [PDF]
Opuscula Mathematica, 2010 This paper deals with some impulsive fractional differential equations in Banach spaces. Utilizing the Leray-Schauder fixed point theorem and the impulsive nonlinear singular version of the Gronwall inequality, the existence of \(PC\)-mild solutions for ...
JinRong Wang, W. Wei, YanLong Yang
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Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications
International Journal of Differential Equations, 2013 We use Sadovskii's fixed point method to investigate the existence and uniqueness of solutions of Caputo impulsive fractional differential equations of order with one example of impulsive logistic model and few other examples as well.
Lakshman Mahto +2 more
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Impulsive fractional functional differential equations
Computers & Mathematics with Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian Liang Guo, Wei Jiang 0013
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Impulsive Hilfer fractional differential equations
Advances in Difference Equations, 2018 Existence and controllability results for nonlinear Hilfer fractional differential equations are studied. Sufficient conditions for existence and approximate controllability for Sobolev-type impulsive fractional differential equations are established ...
Hamdy M. Ahmed +3 more
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Mathematics, 2022 In this paper, by using fixed-point theorems, the existence and uniqueness of positive solutions to a class of four-point impulsive fractional differential equations with p-Laplacian operators are studied. In addition, three examples are given to justify
Limin Chu +3 more
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Bifurcation of Bounded Solutions of Impulsive Differential Equations [PDF]
International Journal of Bifurcation and Chaos, 2016 In this article, we examine nonautonomous bifurcation patterns in nonlinear systems of impulsive differential equations. The approach is based on Lyapunov–Schmidt reduction applied to the linearization of a particular nonlinear integral operator whose zeroes coincide with bounded solutions of the impulsive differential equation in question. This leads
Kevin E. M. Church, Xinzhi Liu
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On the fractional differential equations with not instantaneous impulses
Open Physics, 2016 AbstractBased on some previous works, an equivalent equations is obtained for the differential equations of fractional-orderq∈(1, 2) with non-instantaneous impulses, which shows that there exists the general solution for this impulsive fractional-order systems. Next, an example is used to illustrate the conclusion.
Zhang, Xianmin +5 more
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A Survey on Oscillation of Impulsive Ordinary Differential Equations [PDF]
Advances in Difference Equations, 2010 The authors make a fundamental survey on oscillation of first- and second-order of linear, half-linear, super-half-linear and nonlinear impulse differential equations. The Sturmian theory for second-order linear impulse equations is discussed, too.
Agarwal, Ravi P. +2 more
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Eventual stability and eventual boundedness for impulsive differential equations with “supremum”
Mathematical Modelling and Analysis, 2011 Eventual stability and eventual boundedness for nonlinear impulsive differential equations with supremums are studied. The impulses take place at fixed moments of time. Piecewise continuous Lyapunov functions have been applied.
Ivanka Stamova
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Fractional Differential Equations with Impulsive Effects
Fractal and FractionalThis paper discusses impulsive effects on fractional differential equations. Two approaches are taken to obtain our results: either with fixed or changing lower limits in Caputo fractional derivatives.
Michal Fečkan +2 more
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