[PDF] Top 20 Stability Analysis of Fractional Differential Systems with Order Lying in (1, 2)
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Stability Analysis of Fractional Differential Systems with Order Lying in (1, 2)
... years 1–3. Up to now, it has been proved that fractional calculus is very ...of fractional calculus, such as viscoelastic systems, dielectric polarization, electrode- electrolyte polarization, ... See full document
17
Analysis of Fractional Order Control System with Performance and Stability
... to stability for fractional order control system is ...of differential equations involving fractional ...of fractional derivatives has become quite apparent in modeling ... See full document
9
The general solution for impulsive differential equations with Hadamard fractional derivative of order \(q \in(1, 2)\)
... Hadamard fractional derivative of order q ∈ (1, 2) by analysis of the limit case (as the impulse tends to zero) and provide an example to illustrate the importance of our ... See full document
36
Stability Analysis for Systems of Differential Equations
... numerical analysis of the method is in order to determine if the numerical method is stable, and if so, to select an appropriate step size for the ... See full document
15
Computation of iterative solutions along with stability analysis to a coupled system of fractional order differential equations
... This section is committed to the existence theory, approximation and error estimates to the extremal solution of system (1). In the first attempt we transfer system (1) to the equiv- alent system of integral ... See full document
19
TIME-VARYING LYAPUNOV FUNCTIONS AND LYAPUNOV STABILITY OF NONAUTONOMOUS FRACTIONAL ORDER SYSTEMS
... Caputo fractional derivative of the product of two continuously differentiable functions, and es- tablish its various ...Lyapunov stability analysis of fractional order ...the ... See full document
20
The existence and Hyers–Ulam stability of solution for an impulsive Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order \(1<\beta<2\)
... Riemann–Liouville fractional neutral functional stochastic differential equation with infinite delay of order 1 < β < 2 and its Hyers–Ulam ...of fractional differential ...Hyers–Ulam ... See full document
18
Stability Analysis of Conformable Fractional Systems
... describe stability conditions for conformable frac- tional differential ...our analysis covers the linear con- formable fractional differential systems with commensurate ... See full document
21
EXISTENCE AND MULTIPLE POSITIVE SOLUTIONS TO SYSTEMS OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
... Under the assumption (A1) and Lemmas 2.4 and 2.5, it is easy to see that A, B and C are completely continuous from P to P . Thus, the existence and multiplicity of positive solutions of the system (1)-(2) ... See full document
12
Mittag–Leffler stability for a new coupled system of fractional order differential equations on network
... one fractional-order differential equation for every ...many fractional-order differential equations for every ...of fractional differential equations on network is ... See full document
9
Exact Solutions and Numerical Comparison of Methods for Solving Fractional-Order Differential Systems
... by fractional-order differential equations ...homotopy analysis method (HAM) [9], and the multistep generalized differential transform method (MSGDTM) ... See full document
8
17.Unique solutions for systems of fractional order differential equations with infinite delay
... Recently, fractional differential equations have been of great interest. For de- tailed discussion on this topic, refer to the monographs of Miller and Ross [5], Podlubny [6], and the papers by Benchohra et ... See full document
6
Synchronization results for a class of fractional-order spatiotemporal partial differential systems based on fractional Lyapunov approach
... in order to force its variables to match those of a corresponding master system in time ...dynamical systems such as complete (anti-) synchronization [3], lag synchronization [4], function projective syn- ... See full document
12
Regularized Asymptotics of Solutions for Systems of Singularly Perturbed Differential Equations of Fractional Order
... = (16) where t ∈ [0, ] T , T < 1 , ε > − 0 small parameter. Eigen values of the matrix A t ( ) of this system are numbers λ 1 ( ) t ≡ − i , λ 2 ( ) t ≡ + i . The corresponding eigenvectors c t ... See full document
8
Existence and stability analysis to a coupled system of implicit type impulsive boundary value problems of fractional order differential equations
... The fractional calculus is one of the most emerging areas of ...The fractional differential operators are used to model many physical phenomena in a much better form as compared to ordinary differential ... See full document
21
Impulsive differential inclusions with fractional order
... associated differential system, and the first return (or section) map defined on the cross section of the torus by means of the flow generated by the vector ...given systems by locally Lipschitzian ones ... See full document
36
An Improved Numerical Algorithm for the Fractional Differential Equations and Its Application in the Fractional Order Nonlinear Systems
... Although fractional calculus is a 300-year-old mathematical topic, fractional calculus starts to attract increasing attention of physicists and engineers from an application point of view [1, ...many ... See full document
9
Fractional order polytopic systems: robust stability and stabilisation
... Remark 1 Throughout the article, triplet (A, B, C) is always supposed to be ...with 1 < ν < 2 is a well-known problem in LMI control theory because it corresponds to a performance requirement ... See full document
10
Ulam–Hyers–Mittag Leffler stability for ψ Hilfer fractional order delay differential equations
... Definition 2.1 (see [33]) Let (c, d) (– ∞ ≤ c < d ≤ ∞ ) be a finite or infinite interval of the real line R , and let α > 0. In addition, let ψ (x) be an increasing and positive monotone function on (c, d] having a ... See full document
12
On asymptotic stability of Weber fractional differential systems
... Section 2, some definitions and lem- mas in fractional calculus are ...differential systems containing the Weber fractional derivative and treat the asymptotic stability analysis ... See full document
10
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