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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
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
International Journal of Adaptive Control and Signal Processing, ISSN 0890-6327, 11/2014, Volume 28, Issue 11, pp. 1227 - 1239
SUMMARYIn this paper, we study the problem of global exponential stability for impulsive cellular neural networks with time‐varying delays and supremums. Using... 
global exponential stability | Lyapunov method | supremums | impulsive cellular neural networks | PERIODIC-SOLUTIONS | EQUATION | AUTOMATION & CONTROL SYSTEMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Neural networks | Cellular | Stability | Inequalities | Signal processing | Automatic control | Criteria | Delay
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 03/2014, Volume 19, Issue 3, pp. 702 - 709
•Impulsive functional systems of fractional order are investigated.•We establish a new comparison principle using differential inequalities.•We investigate... 
Lyapunov method | Comparison principle | Impulsive fractional functional differential equations | Stability theory | MATHEMATICS, APPLIED | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | PHYSICS, FLUIDS & PLASMAS | DIFFERENTIAL-EQUATIONS | PHYSICS, MATHEMATICAL | Computer simulation
Journal Article
03/2017, ISBN 1498764835, 276
The book presents qualitative results for different classes of fractional equations, including fractional functional differential equations, fractional... 
functions | lyapunov | STMnetBASE | caputo | SCI-TECHnetBASE | MATHnetBASE | Differential Equations | liouville | sense | mittag-leffler | derivatives | Mathematical Modeling | systems | riemann | vector | Applied Mathematics
eBook
Journal of Mathematical Chemistry, ISSN 0259-9791, 2/2018, Volume 56, Issue 2, pp. 583 - 596
Journal Article
The European Physical Journal Special Topics, ISSN 1951-6355, 12/2017, Volume 226, Issue 16, pp. 3591 - 3607
In this paper, we consider nonlinear impulsive functional differential systems involving Caputo fractional derivatives. Using vector multivariable piecewise... 
Condensed Matter Physics | Measurement Science and Instrumentation | Materials Science, general | Classical and Continuum Physics | Atomic, Molecular, Optical and Plasma Physics | Physics, general | Physics | PHYSICS, MULTIDISCIPLINARY | EQUATIONS
Journal Article
The European Physical Journal Special Topics, ISSN 1951-6355, 12/2017, Volume 226, Issue 16, pp. 3327 - 3331
In this EPJ Special Topics issue selected contributions on some recent developments in the theory and applications of fractional dynamical systems are... 
Condensed Matter Physics | Measurement Science and Instrumentation | Materials Science, general | Classical and Continuum Physics | Atomic, Molecular, Optical and Plasma Physics | Physics, general | Physics | PHYSICS, MULTIDISCIPLINARY
Journal Article
ISA Transactions, ISSN 0019-0578, 09/2016, Volume 64, pp. 77 - 85
Journal Article
NONLINEAR ANALYSIS-MODELLING AND CONTROL, ISSN 1392-5113, 2019, Volume 24, Issue 1, pp. 138 - 149
In this paper, the results of the analysis of nonlinear systems with fractional-like derivatives of the state vector are presented. Using the method of... 
EXISTENCE | MATHEMATICS, APPLIED | solution estimate | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | Heyers-Ulam-Rassias stability | method of integral inequalities | INITIAL-VALUE PROBLEM | fractional-like system of equations | UNIQUENESS | Heyers–Ulam–Rassias stability
Journal Article
Modern Physics Letters B, ISSN 0217-9849, 05/2017, Volume 31, Issue 15, p. 1750168
In this paper, an impulsive Kolmogorov-type system using the Caputo fractional-order derivative is developed. The fractional-order system displays many... 
fractional derivatives | integral manifolds | Kolmogorov system | impulsive control | stability | EXISTENCE | PERIODIC-SOLUTIONS | PHYSICS, CONDENSED MATTER | LYAPUNOV | PHYSICS, APPLIED | BEHAVIOR | DIFFERENTIAL-EQUATIONS | PHYSICS, MATHEMATICAL | SYNCHRONIZATION | 2ND METHOD
Journal Article
The European Physical Journal Special Topics, ISSN 1951-6355, 12/2017, Volume 226, Issue 16, pp. 3811 - 3825
In this paper an impulsive time-varying model for the dynamics of price adjustment in a single commodity market using the Caputo fractional-order derivative is... 
Condensed Matter Physics | Measurement Science and Instrumentation | Materials Science, general | Classical and Continuum Physics | Atomic, Molecular, Optical and Plasma Physics | Physics, general | Physics | DYNAMICS | FINANCIAL-SYSTEM | PHYSICS, MULTIDISCIPLINARY | LONG MEMORY | STABILITY | Commodity markets
Journal Article
International Journal of Nonlinear Sciences and Numerical Simulation, ISSN 1565-1339, 07/2017, Volume 18, Issue 5, pp. 315 - 325
In this article, we introduce fractional-order Solow-type models as a new tool for modeling and analysis in mathematical finance. Sufficient conditions for the... 
fractional derivatives | 34K60 | 34K37 | Solow-type models | 34K45 | impulsive control | stability | 34K20 | EXISTENCE | POPULATION | MATHEMATICS, APPLIED | DIFFERENTIAL-EQUATIONS | FINANCIAL-SYSTEM | PHYSICS, MATHEMATICAL | ORDER | SYNCHRONIZATION | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | GROWTH | DYNAMICS | DELAY | Stability analysis | Mathematical models | Mathematical analysis | Finance | Fractional calculus
Journal Article
Filomat, ISSN 0354-5180, 2018, Volume 32, Issue 18, pp. 6339 - 6352
In this paper, we propose a new tool for modeling and analysis in finance, introducing an impulsive discrete stochastic neural network (NN) fractional-order... 
Fractional-order system | Impulsive control | Stability | Applications in finance | Discrete stochastic neural network | Delay | MATHEMATICS, APPLIED | TIME | fractional-order system | MATHEMATICS | delay | applications in finance | DYNAMICS | SOLOW MODEL | SYSTEMS | STATE-SPACE | impulsive control | stability
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2007, Volume 325, Issue 1, pp. 612 - 623
This paper studies the practical stability of the solutions of nonlinear impulsive functional differential equations. The obtained results are based on the... 
Practical stability | Vector Lyapunov functions | Impulsive functional differential equations | MATHEMATICS | vector Lyapunov functions | impulsive functional differential equations | MATHEMATICS, APPLIED | practical stability
Journal Article
Abstract and Applied Analysis, ISSN 1085-3375, 12/2014, Volume 2014, pp. 1 - 2
  Since the publication of the Issue, the theory of dynamical systems undergoes rapid development and many uncertain models have been introduced in science and... 
Stock exchanges | Decision making | Colleges & universities | Mathematics | Dynamical systems | Game theory | System theory
Journal Article
Abstract and Applied Analysis, ISSN 1085-3375, 3/2015, Volume 2015, pp. 1 - 2
Journal Article
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