Guy Jumarie
According to our database1,
Guy Jumarie
authored at least 41 papers
between 1979 and 2016.
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Bibliography
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
J. Intell. Robotic Syst., 1996
Int. J. Syst. Sci., 1996
1995
Stochastic Hamilton's principle and noisy sliding surfaces in the tracking control of manipulators.
Robotica, 1995
J. Intell. Robotic Syst., 1995
1994
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
Robotica, 1992
Pattern Recognit. Lett., 1992
1991
Robotica, 1991
Pattern Recognit. Lett., 1991
Pattern Recognit. Lett., 1991
1990
Nonlinear filtering. A weighted mean squares approach and a Bayesian one via the maximum entropy principle.
Signal Process., 1990
Robotica, 1990
1989
Robotica, 1989
Pattern Recognit. Lett., 1989
1988
Proceedings of the Uncertainty and Intelligent Systems, 1988
1987
Pattern Recognit. Lett., 1987
1986
On the use of time-varying inertia links to increase the versatility of manipulators.
Robotica, 1986
1985
Robotica, 1985
1979
Hyperstability and average hyperstability conditions for a broad class of gaussian stochastic systems.
Inf. Sci., 1979