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ORCIDGuy Jumarie
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2010 – 2019
- 2016
[j40]Charles S. Tapiero, Oren J. Tapiero, Guy Jumarie:
The price of granularity and fractional finance. Risk Decis. Anal. 6(1): 7-21 (2016)- 2012
- [j39]Guy Jumarie:
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. 219(4): 1625-1643 (2012) - [j38]Guy Jumarie:
Derivation of an amplitude of information in the setting of a new family of fractional entropies. Inf. Sci. 216: 113-137 (2012) - 2010
- [j37]Guy Jumarie:
Cauchy's integral formula via the modified Riemann-Liouville derivative for analytic functions of fractional order. Appl. Math. Lett. 23(12): 1444-1450 (2010) - [j36]Guy Jumarie:
Derivation and solutions of some fractional Black-Scholes equations in coarse-grained space and time. Application to Merton's optimal portfolio. Comput. Math. Appl. 59(3): 1142-1164 (2010) - [j35]Guy Jumarie:
Fractional multiple birth-death processes with birth probabilities λi(Δt)α+o((Δt)α). J. Frankl. Inst. 347(10): 1797-1813 (2010) - [j34]Guy Jumarie:
Subjective observation via informational invariance results in creation of fractals and self-similar processes of fractional order. Kybernetes 39(7): 1167-1183 (2010)
2000 – 2009
- 2009
- [j33]Guy Jumarie:
Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions. Appl. Math. Lett. 22(3): 378-385 (2009) - [j32]Guy Jumarie:
Laplace's transform of fractional order via the Mittag-Leffler function and modified Riemann-Liouville derivative. Appl. Math. Lett. 22(11): 1659-1664 (2009) - 2007
- [j31]Guy Jumarie:
Path integral for the probability of the trajectories generated by fractional dynamics subject to Gaussian white noise. Appl. Math. Lett. 20(8): 846-852 (2007) - 2006
- [j30]Guy Jumarie:
Lagrange characteristic method for solving a class of nonlinear partial differential equations of fractional order. Appl. Math. Lett. 19(9): 873-880 (2006) - [j29]Guy Jumarie:
New stochastic fractional models for Malthusian growth, the Poissonian birth process and optimal management of populations. Math. Comput. Model. 44(3-4): 231-254 (2006) - 2005
- [j28]Guy Jumarie:
On the representation of fractional Brownian motion as an integral with respect to (dt)alpha. Appl. Math. Lett. 18(7): 739-748 (2005) - [j27]Guy Jumarie:
On the solution of the stochastic differential equation of exponential growth driven by fractional Brownian motion. Appl. Math. Lett. 18(7): 817-826 (2005) - [j26]Guy Jumarie:
Optimal taxation in national economies. Net income entropy, weighted incomes-inequalities and fuzzy saving propensities. Int. J. Syst. Sci. 36(1): 49-56 (2005) - 2003
- [j25]Guy Jumarie:
Approximate solution for some stochastic differential equations involving both Gaussian and Poissonian white noises. Appl. Math. Lett. 16(8): 1171-1177 (2003) - 2002
- [j24]Guy Jumarie:
Modeling Fractal Dynamical Systems in the Complex Space. From Macro-Observation to Micro-Observation. Cybern. Syst. 33(5): 427-445 (2002)
1990 – 1999
- 1999
- [j23]Guy Jumarie:
Information and Self-organization Revisited via Complex-valued Fractional Brownian Motion of Order N. Cybern. Syst. 30(3): 179-203 (1999) - 1997
- [j22]Guy Jumarie:
Maximum Entropy Principle in Fields of Probabilities. Application to Self-organizing Systems. Cybern. Syst. 28(4): 305-326 (1997) - 1996
- [j21]Guy Jumarie:
Sensitivity analysis of SISO control systems using Wigner distribution. Int. J. Syst. Sci. 27(3): 299-307 (1996) - [j20]Guy Jumarie:
Tracking control of manipulators with active inertias by using sliding lagrangian. J. Intell. Robotic Syst. 16(3): 245-267 (1996) - 1995
- [j19]Guy Jumarie:
Tracking control of mechanical systems via sliding Lagrangian. J. Intell. Robotic Syst. 13(2): 181-199 (1995) - [j18]Guy Jumarie:
Stochastic Hamilton's principle and noisy sliding surfaces in the tracking control of manipulators. Robotica 13(2): 209-213 (1995) - 1994
- [j17]Guy Jumarie:
Informational similarity of graphs in syntactic pattern recognition. Pattern Recognit. Lett. 15(12): 1177-1181 (1994) - 1993
- [j16]Guy Jumarie:
Forces of reaction and neighbouring Hamilton's principle in the tracking control of manipulators via a sliding scheme. Robotica 11(3): 227-232 (1993) - 1992
- [j15]Guy Jumarie:
Path entropies of brightness functions and fractional Brownian motions. Pattern Recognit. Lett. 13(11): 773-780 (1992) - [j14]Guy Jumarie:
New methods in artificial vision by using entropies of deterministic functions. Robotica 10(2): 105-112 (1992) - 1991
- [j13]Guy Jumarie:
Contour detection by using information theory of deterministic functions. Pattern Recognit. Lett. 12(1): 25-29 (1991) - [j12]Guy Jumarie:
Image processing via entropies of deterministic functions. Pattern Recognit. Lett. 12(8): 525-529 (1991) - [j11]Guy Jumarie:
A New Class of P.I.D. Parameter Adaptation Algorithms for Robot Manipulators. Robotica 9(1): 107-109 (1991) - 1990
- [j10]Guy Jumarie:
Tracking control of flexible robot manipulators with active inertia links. Robotica 8(1): 73-80 (1990) - [j9]Guy Jumarie:
Nonlinear filtering. A weighted mean squares approach and a Bayesian one via the maximum entropy principle. Signal Process. 21(4): 323-338 (1990)
1980 – 1989
- 1989
- [j8]Guy Jumarie:
Informational divergence without probability for patterns and forms. Pattern Recognit. Lett. 9(3): 153-158 (1989) - [j7]Guy Jumarie:
Two-Stages Sliding Controller for Manipulators with Time-Varying Inertia Links. Robotica 7(3): 255-261 (1989) - 1988
- [j6]Guy Jumarie:
On the use of deformation matrices in artificial vision Systems. Robotica 6(1): 13-21 (1988) - [j5]Guy Jumarie:
Trajectory control of manipulators with time varying inertia links. Robotica 6(3): 197-202 (1988) - [c1]Guy Jumarie:
A New Approach to Introducing Semantics and Subjectivity in Approximate Reasoning. IPMU 1988: 9-16 - 1987
- [j4]Guy Jumarie:
A concept of observed weighted entropy and its application to pattern recognition. Pattern Recognit. Lett. 5(3): 191-194 (1987) - 1986
- [j3]Guy Jumarie:
On the use of time-varying inertia links to increase the versatility of manipulators. Robotica 4(2): 101-105 (1986) - 1985
- [j2]Guy Jumarie:
A small parameter method to improve optimum control via the linearization technique. Robotica 3(2): 85-88 (1985)
1970 – 1979
- 1979
- [j1]Guy Jumarie:
Hyperstability and average hyperstability conditions for a broad class of gaussian stochastic systems. Inf. Sci. 17(1): 23-41 (1979)
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