[PDF] Top 20 Time Delay and Fractional Derivatives
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Time Delay and Fractional Derivatives
... of fractional derivatives were proposed, but the fact is that the results are still far from the ...of fractional systems, that is, inspired by the memory effect of the fractional operator, was ... See full document
12
A discrete orthogonal polynomials approach for fractional optimal control problems with time delay
... which fractional derivatives or integrals are used in the performance index or ...of fractional functional equations, most of FOCPs do not have exact and analytic solutions [7, 34, 35, ...a ... See full document
27
Asymptotic stability analysis of fractional order neutral systems with time delay
... of fractional time-delay systems has first been presented and reported in ...of fractional neutral ...nonlinear fractional neutral system was extended in [], it is difficult to use the ... See full document
11
Stability analysis of fractional order linear system with time delay described by the Caputo–Fabrizio derivative
... new fractional derivative without a singular ker- nel [6] in ...and fractional integral associated with the CF derivative are ...CF derivatives have been studied in [9, ...other fractional ... See full document
8
A numerical approach for variable-order fractional unified chaotic systems with time-delay
... variable-order fractional integral operators by means of finite element ...variable-order fractional nonlinear systems with ...variable-order fractional unified chaotic systems with ... See full document
15
Pinning and adaptive synchronization of fractional order complex dynamical networks with and without time varying delay
... of fractional-order complex dynamical networks with periodically intermittent pinning ...of fractional-order complex networks can also deal with Lipschitz-type nonlinear nodes and directed communication ... See full document
23
Existence and Stability Analysis of Fractional Order BAM Neural Networks with a Time Delay
... The integer-order bidirectional associative memory (BAM) neural networks models, first proposed and stu- died by Kosko [16]. This neural network has been widely studied due to its promising potential for applications in ... See full document
12
Positive solutions of m-point multi-term fractional integral BVP involving time-delay for fractional differential equations
... For the convenience of the reader, we present here the necessary definitions from frac- tional calculus theory. These definitions and properties can be found in the literature. Definition . (see [, ]) The ... See full document
19
New approach to the fractional derivatives
... 1. Introduction. The great and famous mathematician L. Euler was criti- cized by the mathematicians in the following centuries for working very freely with the infinite processes. More concretely, he was criticized for ... See full document
11
Existence and stability for fractional order integral equations with multiple time delay in Frechet spaces
... Motivated by those papers, this work deals with the existence and the stability of solutions of a class of functional integral equations of Riemann-Liouville fractional order with multiple time ... See full document
8
Existence results for multi-term time-fractional impulsive differential equations with fractional order boundary conditions
... The fractional order diffusion wave equations ( ...the fractional delay diffusion wave equations describe the driver reaction time, time taken for a signal traveling to the controlled ... See full document
11
A study of a Stefan problem governed with space–time fractional derivatives
... In this work, we considered a mathematical model that contains space–time fractional derivatives and time-dependent surface-heat flux. An approximate solution of the model was obtained by the ... See full document
7
Finite time stability analysis of fractional singular time delay systems
... This paper studies the finite-time stability of fractional singular time-delay systems. First, by the method of the steps, we discuss the existence and uniqueness of the solutions for the ... See full document
11
Numerical Method For Approximate Solutions of Fractional Differential Equations with Time Delay
... for fractional order systems as the demanding performance expectations with uncertainties make it a challenge to come up with models that are useful, or control modules that can alleviate the difficulties in ... See full document
10
Electromagnetic Interpretation of Fractional Order Elements
... The fractional-order elements appeared, but there was no electromagnetic field in- terpretation of fractional-order elements ...considering fractional-order time derivatives, this paper ... See full document
10
Dynamic hedging of financial instruments when the underlying follows a Non Gaussian Process
... of fractional calculus had not been applied to the field of finance, there is a wealth of literature, and associated findings, from the theory of frac- tional differential equations that may prove useful in ... See full document
48
Solution of One –dimensional Fractional Diffusion Equations Involving Caputo Fractional Derivatives in terms of the Mittag Leffler Functions
... During the last two decades. interest is developed in formulating fractional diffusion equations due to their importance and usefulness in numerous problems arising in certain areas of science . engineering and ... See full document
12
Two generalized Lyapunov type inequalities for a fractional p Laplacian equation with fractional boundary conditions
... In this paper, we prove existence of positive solutions to a nonlinear fractional boundary value problem involving a p-Laplacian operator. Then, under some mild assumptions on the nonlinear term, we present two ... See full document
11
Mathematical Analysis of Fractional Order Co-Infection TB and HIV Model
... of fractional parameter on our obtained so- lutions is presented through Graphs It is worthy to observe that fractional order derivative show significant changes and memory effect as compared to ordinary ... See full document
17
Fractional boundary value problems with Riemann Liouville fractional derivatives
... following fractional boundary value problems: –D α 0+ x(t) = f (t, x(t), x(t)) + g(t,x(t)), 0 < t < 1, 1 < α < 2, where D α 0+ is the standard Riemann-Liouville fractional derivative, subject to ... See full document
14
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