[PDF] Top 20 Fractional derivatives: The perspective of system theory
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Fractional derivatives: The perspective of system theory
... addresses the present day problem of multiple proposals for operators under the umbrella of “fractional ...various of those “novel” definitions are incorrect. Here the ... See full document
14
Enlarged controllability and optimal control of sub-diffusion processes with Caputo fractional derivatives
... with the help of optimization ...branch of Mathematics, aims to improve the state variables of a control system in order to maximize the benefit or minimize the ... See full document
13
Function theory for fractional Dirac operators
... Instead of constructing a Super-Lie algebra associated with our structures we will con- struct a so-called Fischer pair base and introduce an inner product onto the space of homo- geneous polynomials ... See full document
141
Regional enlarged observability of fractional differential equations with Riemann—Liouville time derivatives
... ], the heat transfer process was successfully modelled using a fractional model based on normal and anomalous diffusion ...and the Helmholtz effect are presented. Simultaneously, fractional ... See full document
13
Hyers-Ulam Stability of a Class Fractional Boundary Value Problems with Right and Left Fractional Derivatives
... solve the type of equation. Fractional differential equations with right and left fractional derivatives arose naturally as the Euler-Lagrange equation in fractional ... See full document
7
Homogeneous (α, k) -polynomial solutions of the fractional riesz system in hyperbolic space
... structure of the paper reads as follows: in the Preliminary section we recall some basic facts about hypermonogenic functions and fractional calculus, which are necessary to the ... See full document
10
The social power paradigm: causalities, mechanisms, and constructions in the perspective of systems theory
... conceptions of causality still have an important role to play, even in the social sciences, for instance in the case of “selective mechanisms” in socio- cultural evolutionary theory ... See full document
44
Fractional Euler-Lagrange differential equations via Caputo derivatives
... as the calculus ...posed the following question to L’Hopital: “Can the meaning of derivative be generalized to derivatives of non-integer order?” Since then, several ... See full document
10
Caputo derivatives of fractional variable order: numerical approximations
... by fractional derivatives [11, 18, 36]. This is mainly due to the fact that fractional operators take into consideration the evo- lution of the system, by taking ... See full document
22
Fractional Order Modelling Using State Space Theory
... various fractional order systems existing. This paper deals with the modelling of fractional order systems using an old and unique model structure ...model. The fractional order ... See full document
4
RIESZ POTENTIAL OPERATORS AND INVERSES VIA FRACTIONAL CENTRED DERIVATIVES
... ber of scientific fields, namely, in the areas of electromagnetism, control engineering, and signal ...face the problem created by the somewhat chaotic state of the art ... See full document
12
Regulating the financial system in a Minskyian perspective
... above, the only way to make banks truly safe is with a 100 percent reserve ratio and a 100 per cent capital ...amount of capital can substitute for the creation of ...capitalised. The ... See full document
13
Caputo–Hadamard fractional derivatives of variable order
... At the same time ordinary calculus was developed for integer-order derivatives in the seventeenth century, L’Hˆ opital and Leibniz wondered about the notion of derivative of ... See full document
14
Duality for the left and right fractional derivatives
... area of mathematics, with numerous different meanings. One can say that the only common characteristic of duality, between those different meanings, is that it translates concepts, theorems or ... See full document
15
A Fractional Linear System View of the Fractional Brownian Motion
... confirming the considerations done by Mandelbrot and ...with the theory and results developed by Reed et ...to the ordinary Brownian motion, v α (t) does not have independent ... See full document
9
On the relation between the fractional Brownian motion and the fractional derivatives
... and the fractional ...types of fractional derivatives: causal and central and two formulations: generalised incre- mental ratio and ...compute the autocorrelation function ... See full document
12
Further properties of Osler's generalized fractional integrals and derivatives with respect to another function
... discuss fractional integrals and fractional derivatives of a function with respect to an- other ...types of fractional operators, such as Taylor’s theorem, Leibniz and semigroup ... See full document
35
Clusters in the institutional perspective: on the theory and methodology of local socioeconomic development
... with the above said, institutional comparative studies (the analysis of specific features of local systems in various institutional environments) have a great ...types of economy ... See full document
21
A Discretization of the Hadamard fractional derivative
... Due the complexity of solving equations involving fractional operators, in most cases is impossible to determine the exact solution and so numerical methods are used to determine an ... See full document
9
The reverse migration decision and occupational outcomes: a self-determination theory perspective
... see the impact that both of these motivators had on the subsequent preparation for the return and the effort put into it, the most reported activity was looking for work, all but ... See full document
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