Guy Jumarie

发表

New stochastic fractional models for Malthusian growth, the Poissonian birth process and optimal management of populations

Guy Jumarie, G. Jumarie, 2006, Math. Comput. Model..

Laplace's transform of fractional order via the Mittag-Leffler function and modified Riemann-Liouville derivative

Guy Jumarie, G. Jumarie, 2009, Appl. Math. Lett..

Tracking control of flexible robot manipulators with active inertia links

Guy Jumarie, G. Jumarie, 1990, Robotica.

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

Guy Jumarie, G. Jumarie, 1993, Robotica.

Contour detection by using information theory of deterministic functions

Guy Jumarie, 1991, Pattern Recognit. Lett..

A small parameter method to improve optimum control via the linearization technique

Guy Jumarie, 1985, Robotica.

ON THE PROBLEM OF THE MATHEMATICAL THEORIZATION OF HUMAN SYSTEMS DYNAMICS

Guy Jumarie, 1981 .

An Approach to Encoding In the Presence of Subjectivity

Guy Jumarie, G. Jumarie, 1980 .

Two-Stages Sliding Controller for Manipulators with Time-Varying Inertia Links

Guy Jumarie, 1989, Robotica.

A Theory of Subjective Information

Guy Jumarie, 1990 .

Image processing via entropies of deterministic functions

Guy Jumarie, 1991, Pattern Recognit. Lett..

A Model of Positive and Negative Information in thé Standard Framework of Communication Theory — Application to Encoding

Guy Jumarie, 1984 .

Hyperstability and average hyperstability conditions for a broad class of gaussian stochastic systems

Guy Jumarie, 1979, Inf. Sci..

A New Approach to Introducing Semantics and Subjectivity in Approximate Reasoning

Guy Jumarie, G. Jumarie, 1988, IPMU.

Subjectivity, information, systems : an introduction to a theory of relativistic cybernetics

Guy Jumarie, 1986 .

New methods in artificial vision by using entropies of deterministic functions

Guy Jumarie, 1992, Robotica.

Relativistic fuzzy sets. Toward a new approach to subjectivity in human systems

Guy Jumarie, 1980 .

A concept of observed weighted entropy and its application to pattern recognition

Guy Jumarie, 1987, Pattern Recognit. Lett..

Fractional multiple birth-death processes with birth probabilities λi(Δt)α+o((Δt)α)

Guy Jumarie, G. Jumarie, 2010, J. Frankl. Inst..

On the fractional solution of the equation f(x + y) = f(x)f(y) and its application to fractional Laplace's transform

Guy Jumarie, G. Jumarie, 2012, Appl. Math. Comput..

Cauchy's integral formula via the modified Riemann-Liouville derivative for analytic functions of fractional order

Guy Jumarie, G. Jumarie, 2010, Appl. Math. Lett..

Towards a Theory of Distributed Statistical Decision Involving Subjective Factors

Guy Jumarie, 1988 .

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

Guy Jumarie, G. Jumarie, 1991, Robotica.

Lagrange characteristic method for solving a class of nonlinear partial differential equations of fractional order

Guy Jumarie, G. Jumarie, 2006, Appl. Math. Lett..

Further applications of the non-stationary operational calculus to the synthesis of closed-loop distributed systems A new approach to distributed white noise†

Guy Jumarie, 1977 .

Sensitivity analysis of SISO control systems using Wigner distribution

Guy Jumarie, G. Jumarie, 1996, Int. J. Syst. Sci..

Derivation of an amplitude of information in the setting of a new family of fractional entropies

Guy Jumarie, G. Jumarie, 2012, Inf. Sci..

MODELING FRACTAL DYNAMICAL SYSTEMS IN THE COMPLEX SPACE. FROM MACRO-OBSERVATION TO MICRO-OBSERVATION

Guy Jumarie, G. Jumarie, 2002, Cybern. Syst..

On the use of deformation matrices in artificial vision Systems

Guy Jumarie, 1988, Robotica.

Optimal taxation in national economies. Net income entropy, weighted incomes-inequalities and fuzzy saving propensities

Guy Jumarie, 2005, Int. J. Syst. Sci..

Informational divergence without probability for patterns and forms

Guy Jumarie, 1989, Pattern Recognit. Lett..

Tracking control of mechanical systems via sliding Lagrangian

Guy Jumarie, G. Jumarie, 1995, J. Intell. Robotic Syst..

Trajectory control of manipulators with time varying inertia links

Guy Jumarie, G. Jumarie, 1988, Robotica.

Approximate solution for some stochastic differential equations involving both Gaussian and Poissonian white noises

Guy Jumarie, G. Jumarie, 2003, Appl. Math. Lett..

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

Guy Jumarie, 2010, Kybernetes.

Path integral for the probability of the trajectories generated by fractional dynamics subject to Gaussian white noise

Guy Jumarie, 2007, Appl. Math. Lett..

The Price of Granularity and Fractional Finance

Charles S. Tapiero, Guy Jumarie, Oren J. Tapiero, 2015, Risk Decis. Anal..

Informational similarity of graphs in syntactic pattern recognition

Guy Jumarie, 1994, Pattern Recognit. Lett..

Tracking control of manipulators with active inertias by using sliding lagrangian

Guy Jumarie, G. Jumarie, 1996, J. Intell. Robotic Syst..

Stochastic Hamilton's principle and noisy sliding surfaces in the tracking control of manipulators

Guy Jumarie, 1995, Robotica.

On the representation of fractional Brownian motion as an integral with respect to (dt)alpha

Guy Jumarie, G. Jumarie, 2005, Appl. Math. Lett..

On the solution of the stochastic differential equation of exponential growth driven by fractional Brownian motion

Guy Jumarie, G. Jumarie, 2005, Appl. Math. Lett..

Information and Self-organization Revisited via Complex-valued Fractional Brownian Motion of Order N

Guy Jumarie, 1999, Cybern. Syst..

Outline of Applications

Guy Jumarie, G. Jumarie, 2000 .

Coordination concepts in multilevel hierarchical differential games

Guy Jumarie, 1977 .

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

Guy Jumarie, G. Jumarie, 2010, Comput. Math. Appl..

Path entropies of brightness functions and fractional Brownian motions

Guy Jumarie, 1992, Pattern Recognit. Lett..

Image Processing. A new Approach via Informational Entropy and Informational Divergence of non Random Functions

Guy Jumarie, 2015, CIT 2015.

Coordination Concepts in Multilevel Hierarchical Differential Games

Guy Jumarie, 1977 .

A Theory of Relative Statistical Decision

Guy Jumarie, 1990 .

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

Guy Jumarie, G. Jumarie, 1990, Signal Process..

On the use of time-varying inertia links to increase the versatility of manipulators

Guy Jumarie, 1986, Robotica.

Guy Jumarie, G. Jumarie, 2008 .

Towards a new approach to self-organizing systems †

Guy Jumarie, 1973 .

A relativistic approach to modelling dynamic systems involving human factors

Guy Jumarie, 1979 .

A Survey of Relativistic Information and Its Applications

Guy Jumarie, Guy Jumarie, 1977 .

Lagrangian mechanics of fractional order, Hamilton–Jacobi fractional PDE and Taylor’s series of nondifferentiable functions

Guy Jumarie, G. Jumarie, 2007 .

Possibility, probability and relative information: a unified approach via geometric programming

Guy Jumarie, 1995 .

Improvement of stochastic neighbouring-optimal control using nonlinear Gaussian white noise terms in the Taylor expansions

Guy Jumarie, G. Jumarie, 1996 .

Further Results on the Modelling of Complex Fractals in Finance, Scaling Observation and Optimal Portfolio Selection

Guy Jumarie, 2002 .

Mixed Theories of Information can be Derived by Using Shannon Information Only

Guy Jumarie, Guy Jumarie, 1986 .

The Minkowski's space-time is consistent with differential geometry of fractional order

Guy Jumarie, G. Jumarie, 2007 .

A relativistic information theory model for general systems Lorentz transformation of organizability and structural entropy

Guy Jumarie, 1975 .

New results on the entropy of deterministic maps: applications to Liapunov exponent, divergence, compositional inference, and pattern encoding

Guy Jumarie, G. Jumarie, 1988 .

On the derivative chain-rules in fractional calculus via fractional difference and their application to systems modelling

Guy Jumarie, G. Jumarie, 2013 .

A new approach to complex-valued fractional Brownian motion via rotating white noise

Guy Jumarie, 1998 .

A new information theoretic approach to the entropy of non-random discrete maps relation to fractal dimension and temperature of curves

Guy Jumarie, 1997 .

Quantum entropies of nonprobabilistic matrices

Guy Jumarie, G. Jumarie, 1991 .

Probability calculus of fractional order and fractional Taylor's series application to Fokker-Planck equation and information of non-random functions

Guy Jumarie, G. Jumarie, 2009 .

An approach via fractional analysis to non-linearity induced by coarse-graining in space

Guy Jumarie, G. Jumarie, 2010 .

Fractional master equation: non-standard analysis and Liouville–Riemann derivative

Guy Jumarie, G. Jumarie, 2001 .

Simple general method to analyse the moment stability and sensitivity of non-linear stochastic systems with or without delay

Guy Jumarie, G. Jumarie, 1988 .

A Fokker-Planck equation of fractional order with respect to time

Guy Jumarie, G. Jumarie, 1992 .

Structural entropy, information potential, information balance and evolution in self-organizing systems†

Guy Jumarie, G. Jumarie, 1974 .

Merton's model of optimal portfolio in a Black-Scholes Market driven by a fractional Brownian motion with short-range dependence

Guy Jumarie, G. Jumarie, 2005 .

Stock exchange fractional dynamics defined as fractional exponential growth driven by (usual) Gaussian white noise. Application to fractional Black-Scholes equations

Guy Jumarie, G. Jumarie, 2008 .

STOCHASTICS OF ORDER n IN BIOLOGICAL SYSTEMS: APPLICATIONS TO POPULATION DYNAMICS, THERMODYNAMICS, NONEQUILIBRIUM PHASE AND COMPLEXITY

Guy Jumarie, G. Jumarie, 2003 .

FURTHER RESULTS ON POSSIBILITY-PROBABILITY CONVERSION VIA RELATIVE INFORMATION AND INFORMATIONAL INVARIANCE

Guy Jumarie, 1995 .

From Lagrangian mechanics fractal in space to space fractal Schrödinger’s equation via fractional Taylor’s series

Guy Jumarie, G. Jumarie, 2009 .

Expert Systems and Fuzzy Systems: A New Approach via Possibility‐Probability Conversion

Guy Jumarie, 1993 .

A PRACTICAL VARIATIONAL APPROACH TO STOCHASTIC OPTIMAL CONTROL VIA STATE MOMENT EQUATIONS

Guy Jumarie, 1995 .

Fractional partial differential equations and modified Riemann-Liouville derivative new methods for solution

Guy Jumarie, G. Jumarie, 2007 .

A practical criterion for the input-output stability of distributed parameter systems with space-dependent coefficients†

Guy Jumarie, G. Jumarie, 1975 .

Tracking control of non-linear stochastic systems by using path cross-entropy and Fokker-Planck equation

Guy Jumarie, G. Jumarie, 1992 .

Oscillation of Non-Linear Systems Close to Equilibrium Position in the Presence of Coarse-Graining in Time and Space

Guy Jumarie, G. Jumarie, 2009 .

Fractional Brownian motions via random walk in the complex plane and via fractional derivative. Comparison and further results on their Fokker–Planck equations

Guy Jumarie, G. Jumarie, 2004 .

A New Approach to Fractional Brownian Motion of Order n Via Random Walk in the Complex Plane

Guy Jumarie, 1999 .

Path probability of random fractional systems defined by white noises in coarse-grained time. Application of fractional entropy

Guy Jumarie, 2011 .

New results in relativistic information theory. Application to deterministic, stochastic and biological systems†

Guy Jumarie, 1976 .

Space Sampling Effects in Nonlinear Distributed System Stability

Guy Jumarie, 1981 .

NEW DECISION RULES IN STATISTICAL PATTERN RECOGNITION

Guy Jumarie, 1987 .

Analysis of moment stability and sensitivity of non-linear stochastic distributed systems: a practical approach via a distributed Fokker-Planck equation

Guy Jumarie, G. Jumarie, 1989 .

An approach to differential geometry of fractional order via modified Riemann-Liouville derivative

Guy Jumarie, G. Jumarie, 2012 .