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2017, 1, ISBN 1498764835, xii, 264 pages
The book presents qualitative results for different classes of fractional equations, including fractional functional differential equations, fractional... 
Impulsive differential equations | Mathematical Modeling | Applied Mathematics | Differential Equations | Fractional differential equations
Book
Automatica, ISSN 0005-1098, 02/2015, Volume 52, pp. 173 - 178
Journal Article
Systems & Control Letters, ISSN 0167-6911, 08/2018, Volume 118, pp. 77 - 83
The note is devoted to a class of singular ensemble control problems: we consider the continuity equation driven by a control-affine vector field subject to... 
Impulsive control | Continuity equation | Ensemble control | Optimal control | Generalized solutions of control problems | IMPACT | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | CONTROL-SYSTEMS | AUTOMATION & CONTROL SYSTEMS | Analysis | Differential equations
Journal Article
Fractional Calculus and Applied Analysis, ISSN 1311-0454, 08/2016, Volume 19, Issue 4, pp. 806 - 831
Journal Article
Nonlinear Analysis: Real World Applications, ISSN 1468-1218, 2009, Volume 10, Issue 2, pp. 680 - 690
Journal Article
by Wang, JR and Ren, LL and Zhou, Y
ADVANCES IN DIFFERENCE EQUATIONS, ISSN 1687-1847, 07/2019, Volume 2019, Issue 1, pp. 1 - 9
In this paper, we study a class of (omega,c)-periodic time varying impulsive differential equations and establish the existence and uniqueness results for... 
Impulsive differential equation | MATHEMATICS | MATHEMATICS, APPLIED | CONTROLLABILITY | (omega,c)-periodic solutions | Existence and uniqueness | Mathematical analysis | Differential equations | ( ω , c ) $(\omega ,c)$ -periodic solutions
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 11/2017, Volume 73, pp. 157 - 162
In this paper, we introduce a notation of noninstantaneous impulsive evolution operator, an extension of the classical impulsive evolution operator for linear... 
Asymptotic stability | Noninstantaneous impulsive evolution operator | Mild solutions | MATHEMATICS, APPLIED | DIFFERENTIAL-EQUATIONS | evolution operator | Noninstantaneous impulsive
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 10/2015, Volume 268, pp. 103 - 120
In this paper, we provide the formulas of general solution for some impulsive differential equations of fractional-order q∈(1, 2). 
Impulsive fractional differential equations | Fractional differential equations | General solution | Impulse | Differential equations
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 11/2012, Volume 17, Issue 11, pp. 4384 - 4394
► A better definition of solution for impulsive fractional differential equation is given. ► An effective way to find natural solution for impulsive fractional... 
Solutions | Impulsive differential equations | Fractional order | Differential equations | Nonlinearity | Mathematical models | Computer simulation | Accumulation | Cauchy problem
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2012, Volume 395, Issue 1, pp. 258 - 264
In this paper, we introduce four Ulam's type stability concepts for impulsive ordinary differential equations. By applying the integral inequality of Gronwall... 
Impulsive ordinary differential equations | Ulam's type stability | MATHEMATICS | MATHEMATICS, APPLIED | 1ST-ORDER | Differential equations
Journal Article
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, ISSN 1417-3875, 2019, Volume 2019, Issue 18, pp. 1 - 18
We consider a class of retarded functional differential equations with preassigned moments of impulsive effect and we study the Lipschitz stability of... 
MATHEMATICS | MATHEMATICS, APPLIED | generalized ODEs | variational Lipschitz stability | Lipschitz stability | impulsive RFDEs | lipschitz stability | generalized odes | impulsive rfdes | variational lipschitz stability
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 04/2015, Volume 257, pp. 581 - 590
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 05/2013, Volume 141, Issue 5, pp. 1641 - 1649
In this note we introduce a new class of abstract impulsive differential equations for which the impulses are not instantaneous. We introduce the concepts of... 
Impulsive differential equation | Mild solution | semigroup of linear operators | Classical solution | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | classical solution | mild solution | C-0-semigroup of linear operators | EVOLUTION SYSTEMS
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 12/2018, Volume 338, pp. 822 - 827
In this paper, we study positive periodic solutions to impulsive differential equation with the attractive singular perturbation. The existence theorem is... 
Impulsive differential equation | Alternative principle | Superlinear | Fixed point theorem | Attractive singular | MATHEMATICS, APPLIED | MULTIPLICITY | BOUNDARY-VALUE-PROBLEMS
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 01/2018, Volume 41, Issue 2, pp. 769 - 780
In this paper, the existence of antiperiodic solutions for fourth‐order impulsive differential equation is obtained by variational approaches and results on... 
impulsive | Lipschitzian functions | minimizing sequence | variational approaches | antiperiodic solution | closed convex set | EXISTENCE | MATHEMATICS, APPLIED | MIXED-TYPE | BOUNDARY-VALUE-PROBLEMS | INTEGRODIFFERENTIAL EQUATIONS
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 06/2014, Volume 237, pp. 605 - 612
•Impulsive systems of fractional order are investigated.•A new comparison principle using differential inequalities is established.•Impulsive effects on the... 
Impulsive fractional differential equations | Lyapunov method | Comparison principle | Global stability | EXISTENCE | ORDER | MATHEMATICS, APPLIED | Differential equations | Impulses | Lyapunov functions | Stability | Computation | Mathematical analysis | Mathematical models
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 09/2017, Volume 40, Issue 13, pp. 4832 - 4841
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 01/2019, Volume 341, pp. 160 - 173
The classical continuous Runge–Kutta methods are widely applied to compute the numerical solutions of delay differential equations without impulsive... 
Continuous Runge–Kutta method | Impulsive delay differential equation | Convergence | EXISTENCE | MATHEMATICS, APPLIED | EXPONENTIAL STABILITY | NUMERICAL-SOLUTIONS | Continuous Runge-Kutta method | SYSTEMS | ASYMPTOTIC STABILITY | RAZUMIKHIN METHOD | OSCILLATION | Analysis | Methods | Differential equations
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 11/2012, Volume 64, Issue 10, pp. 3389 - 3405
In this paper, the first purpose is treating Cauchy problems and boundary value problems for nonlinear impulsive differential equations with Caputo fractional... 
Impulsive problems | Boundary value problems | Fractional differential equations | Cauchy problems | Ulam stability | EXISTENCE | MATHEMATICS, APPLIED | INFINITE DELAY | SPACES | EVOLUTION-EQUATIONS | 1ST-ORDER | UNIQUENESS | Differential equations
Journal Article
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