[PDF] Top 20 Stability properties for generalized fractional differential systems
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Stability properties for generalized fractional differential systems
... external stability of linear fractional dierential systems has been extensively studied: the case of commensurate order happens to be a very particular case of the case of incommensurate orders the ... See full document
14
Wavelets operational methods for fractional differential equations and systems of fractional differential equations
... for fractional derivatives and applied it with spectral methods for numerical solution of multi-term linear and nonlinear ...any fractional order derivatives of shifted Chebyshev polynomials of any degree ... See full document
63
q Mittag Leffler stability and Lyapunov direct method for differential systems with q fractional order
... nonlinear systems, Lyapunov’s direct method provides an effective way to analyze the stability of a system without explicitly solving the differential ...of fractional calculus in nonlinear ... See full document
9
Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives
... On the other hand, the existence and uniqueness of solutions are among the most impor- tant qualitative properties of differential equations. The existence and uniqueness of so- lutions of differential equations ... See full document
13
Fractional differential equations for the generalized Mittag Leffler function
... the properties, applications, and different extensions of various hyper- geometric operators of fractional ...their properties and applications have been considered by several authors (see [3–22] and ... See full document
8
Solving linear Volterra–Fredholm integro- differential equations of fractional order by using Generalized Differential Transform Method
... of fractional calculus ( a mathematical branch investigating the properties of derivatives and integrals of non- integer orders) [8] , in varied fields, the solution techniques for fractional ... See full document
12
Some properties for integro differential operator defined by a fractional formal
... of fractional calculus (integral and derivative of any arbitrary real or com- plex order) has acquired significant popularity and major attention from several authors in various science due mainly to its direct ... See full document
9
Linear canonical systems with periodic coefficients
... On convexity properties of stability regions of linear Hamiltonian systems of differential equations with periodic cc.efficients Russian, Vestnik Leningrad.. [13] Russian Regions of dyna[r] ... See full document
128
Stability Analysis of Conformable Fractional Systems
... conformable fractional differential sys- tem (12) is asymptotically stable if and only if A is a Hurwitz stable, and the zero solution of system (12) is stable but not asymptotically stable if and only if A ... See full document
21
A hybrid method with optimal stability properties for the numerical solution of stiff differential systems
... absolute stability region of the presented methods, the boundary locus method is ...the stability region for the given θ and ...zero stability) and the corresponding maximum value for α are listed ... See full document
13
Stability results for the linear degenerate fractional differential system
... the stability of fractional order nonlinear sys- tems by applying the Lyapunov direct method with the introductions of Mittag-Leffler ...the stability of nonlinear fractional differential ... See full document
17
Generalized Differential Transformation Method for Solving System of Linear Volterra Integro-Differential Equations of Fractional Order
... with fractional systems ,so the propose technique provide a good results for linear system of fractional integro- differential ...solve fractional linear integro-differential ... See full document
18
Stability for impulsive implicit Hadamard fractional differential equations
... decades, fractional differential equations (FDE’s) have gained considerably more attention and attracted by many researchers in fields of such as physics, mechanics, chemistry, aerodynamics and the ... See full document
6
Nonlinear sequential Riemann–Liouville and Caputo fractional differential equations with generalized fractional integral conditions
... of fractional differential equations has emerged as an interesting and pop- ular field of research in view of its extensive applications in applied and technical sci- ...of fractional calculus in several ... See full document
17
Chaos Suppression of a Class of Fractional-Order Chaotic Systems with Order Lying in (1, 2)
... in fractional-order systems by using the economic, simply implemented control scheme and avoid error caused by linearization in many present ...the stability theory of fractional-order ... See full document
8
Stability of fractional neutral systems
... hand, stability analysis is always one of the most important issues in the the- ory of differential equations and their ...on stability of fractional- order differential equations is more complex than ... See full document
9
On the analysis of mixed-index time fractional differential equation systems
... Figure 4. System Dynamics with ( α, β ) = ( 1 2 , 1 ) , top, and ( α, β ) = ( 1 3 , 2 3 ) , bottom. The left hand column shows sustained dynamics with d = 1 and θ chosen so that ( d, θ ) lies on the stability ... See full document
28
Topological Control and Stability of Dynamic Fractional Order Systems with Generalized Memory
... in fractional derivatives describe the evolution of physical system losses and fractional rate of derivatives indicates the share of the remaining states of the system for the time ...Such systems ... See full document
5
On asymptotic stability of Weber fractional differential systems
... biology, fractional dynamics, engineering and control ...of fractional calculus the stability analysis of fractional differential systems have been the main point of view in many ... See full document
10
Systems of generalized Sturm Liouville and Langevin fractional differential equations
... from fractional calculus and present an auxiliary ...Langevin fractional differential equations with anti-periodic boundary conditions are discussed in Section ... See full document
15
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