Guy Jumarie

According to our database1, Guy Jumarie authored at least 41 papers between 1979 and 2016.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of five.

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Bibliography

2016
The price of granularity and fractional finance.
Risk Decis. Anal., 2016

2012
Derivation of an amplitude of information in the setting of a new family of fractional entropies.
Inf. Sci., 2012

On the fractional solution of the equation f(x + y) = f(x)f(y) and its application to fractional Laplace's transform.
Appl. Math. Comput., 2012

2010
Subjective observation via informational invariance results in creation of fractals and self-similar processes of fractional order.
Kybernetes, 2010

Fractional multiple birth-death processes with birth probabilities <i>λ</i><sub><i>i</i></sub>(Δ<i>t</i>)<sup><i>α</i></sup>+<i>o</i>((Δ<i>t</i>)<sup><i>α</i></sup>).
J. Frankl. Inst., 2010

Derivation and solutions of some fractional Black-Scholes equations in coarse-grained space and time. Application to Merton's optimal portfolio.
Comput. Math. Appl., 2010

Cauchy's integral formula via the modified Riemann-Liouville derivative for analytic functions of fractional order.
Appl. Math. Lett., 2010

2009
Laplace's transform of fractional order via the Mittag-Leffler function and modified Riemann-Liouville derivative.
Appl. Math. Lett., 2009

Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions.
Appl. Math. Lett., 2009

2007
Path integral for the probability of the trajectories generated by fractional dynamics subject to Gaussian white noise.
Appl. Math. Lett., 2007

2006
New stochastic fractional models for Malthusian growth, the Poissonian birth process and optimal management of populations.
Math. Comput. Model., 2006

Lagrange characteristic method for solving a class of nonlinear partial differential equations of fractional order.
Appl. Math. Lett., 2006

2005
Optimal taxation in national economies. Net income entropy, weighted incomes-inequalities and fuzzy saving propensities.
Int. J. Syst. Sci., 2005

On the solution of the stochastic differential equation of exponential growth driven by fractional Brownian motion.
Appl. Math. Lett., 2005

On the representation of fractional Brownian motion as an integral with respect to (d<i>t</i>)<sup>alpha</sup>.
Appl. Math. Lett., 2005

2003
Approximate solution for some stochastic differential equations involving both Gaussian and Poissonian white noises.
Appl. Math. Lett., 2003

2002
Modeling Fractal Dynamical Systems in the Complex Space. From Macro-Observation to Micro-Observation.
Cybern. Syst., 2002

1999
Information and Self-organization Revisited via Complex-valued Fractional Brownian Motion of Order N.
Cybern. Syst., 1999

1997
Maximum Entropy Principle in Fields of Probabilities. Application to Self-organizing Systems.
Cybern. Syst., 1997

1996
Tracking control of manipulators with active inertias by using sliding lagrangian.
J. Intell. Robotic Syst., 1996

Sensitivity analysis of SISO control systems using Wigner distribution.
Int. J. Syst. Sci., 1996

1995
Stochastic Hamilton's principle and noisy sliding surfaces in the tracking control of manipulators.
Robotica, 1995

Tracking control of mechanical systems via sliding Lagrangian.
J. Intell. Robotic Syst., 1995

1994
Informational similarity of graphs in syntactic pattern recognition.
Pattern Recognit. Lett., 1994

1993
Forces of reaction and neighbouring Hamilton's principle in the tracking control of manipulators via a sliding scheme.
Robotica, 1993

1992
New methods in artificial vision by using entropies of deterministic functions.
Robotica, 1992

Path entropies of brightness functions and fractional Brownian motions.
Pattern Recognit. Lett., 1992

1991
A New Class of P.I.D. Parameter Adaptation Algorithms for Robot Manipulators.
Robotica, 1991

Image processing via entropies of deterministic functions.
Pattern Recognit. Lett., 1991

Contour detection by using information theory of deterministic functions.
Pattern Recognit. Lett., 1991

1990
Nonlinear filtering. A weighted mean squares approach and a Bayesian one via the maximum entropy principle.
Signal Process., 1990

Tracking control of flexible robot manipulators with active inertia links.
Robotica, 1990

1989
Two-Stages Sliding Controller for Manipulators with Time-Varying Inertia Links.
Robotica, 1989

Informational divergence without probability for patterns and forms.
Pattern Recognit. Lett., 1989

1988
Trajectory control of manipulators with time varying inertia links.
Robotica, 1988

On the use of deformation matrices in artificial vision Systems.
Robotica, 1988

A New Approach to Introducing Semantics and Subjectivity in Approximate Reasoning.
Proceedings of the Uncertainty and Intelligent Systems, 1988

1987
A concept of observed weighted entropy and its application to pattern recognition.
Pattern Recognit. Lett., 1987

1986
On the use of time-varying inertia links to increase the versatility of manipulators.
Robotica, 1986

1985
A small parameter method to improve optimum control via the linearization technique.
Robotica, 1985

1979
Hyperstability and average hyperstability conditions for a broad class of gaussian stochastic systems.
Inf. Sci., 1979


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