A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
arXiv:1709.07766 · doi:10.1016/j.cam.2017.09.039
Abstract
We survey some representative results on fuzzy fractional differential equations, controllability, approximate controllability, optimal control, and optimal feedback control for several different kinds of fractional evolution equations. Optimality and relaxation of multiple control problems, described by nonlinear fractional differential equations with nonlocal control conditions in Banach spaces, are considered.
This is a preprint of a paper whose final and definite form is with 'Journal of Computational and Applied Mathematics', ISSN: 0377-0427. Submitted 17-July-2017; Revised 18-Sept-2017; Accepted for publication 20-Sept-2017. arXiv admin note: text overlap with arXiv:1504.05153
References in corpus (9)
- A new fractional operator of variable order: application in the description of anomalous diffusion
- Fractional conservation laws in optimal control theory
- Variational Calculus with Conformable Fractional Derivatives
- Approximate Controllability of Fractional Delay Dynamic Inclusions with Nonlocal Control Conditions
- Sobolev Type Fractional Dynamic Equations and Optimal Multi-Integral Controls with Fractional Nonlocal Conditions
- A necessary condition of Pontryagin type for fuzzy fractional optimal control problems
- Optimal Control of Nonlocal Thermistor Equations
- Linear and nonlinear fractional Voigt models
- Necessary Optimality Conditions for a Dead Oil Isotherm Optimal Control Problem
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