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

Mathematical and Computer Modelling

Volumn 44, Issue 3-4, 2006, Pages 231-254

  Jumarie, Guy ^a  

^a UNIVERSITÉ DU QUÉBEC À MONTRÉAL   (Canada)

Author keywords

Fractional birth and death processes; Fractional Brownian motion; Fractional derivative; Fractional Malthusian growth; Fractional Poisson process; Fractional Taylor's series; Mittag Leffler function; Stochastic optimal control

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIFFERENTIAL EQUATIONS; FRACTALS; LAGRANGE MULTIPLIERS; NONLINEAR SYSTEMS; OPTIMIZATION; PROBLEM SOLVING; RANDOM PROCESSES; STOCHASTIC CONTROL SYSTEMS;

FRACTIONAL BIRTH-AND-DEATH PROCESSES; FRACTIONAL DERIVATIVE; FRACTIONAL MALTHUSIAN GROWTH; FRACTIONAL POISSON PROCESS; FRACTIONAL TAYLOR'S SERIES; MITTAG-LEFFLER FUNCTION; RIEMANN-LIOUVILLE FRACTIONAL BROWNIAN MOTION; STOCHASTIC OPTIMAL CONTROL;

BROWNIAN MOVEMENT;

EID: 33745082228     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2005.10.003     Document Type: Article

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