Optimal random search, fractional dynamics and fractional calculus

DOI10.2478/S13540-014-0171-7zbMath1305.26021arXiv1310.7687OpenAlexW3047029974MaRDI QIDQ2939431

Caibin Zeng, Yang Quan Chen

Publication date: 22 January 2015

Published in: Fractional Calculus and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.7687

zbMATH Keywords

fractional calculusrandom searchfractional dynamicsLévy flightcontinuous time random work

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Optimality conditions for problems involving randomness (49K45) Fractional ordinary differential equations (34A08)

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On the regional controllability of the sub-diffusion process with Caputo fractional derivative ⋮ Regional gradient controllability of ultra-slow diffusions involving the Hadamard-Caputo time fractional derivative ⋮ A new collection of real world applications of fractional calculus in science and engineering ⋮ Numerical simulation for time-fractional diffusion-wave equations with time delay ⋮ Closed-loop time response analysis of irrational fractional-order systems with numerical Laplace transform technique ⋮ Should I stay or should I go? Zero-size jumps in random walks for Lévy flights ⋮ Time-optimal control of fractional-order linear systems ⋮ Stability analysis of Hadamard and Caputo-Hadamard fractional nonlinear systems without and with delay

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