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An Investigation on an Optimal Control Problem with a Fractional Constraint in the Riemann-Liouville Sense

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Abstract:

This work, deals with a fractional optimal control problem (in the Riemann-Liouville sense). An analytic description of an initial value appears in the constraint of the optimal control problem is presented and some sufficient and necessary conditions for the given initial value is obtained. Making use of an auxiliary variable together with the optimal control law, the given problem is converted into a system of ordinary integro-differential equations. Then using the Adomian decomposition method, an approximate solution is illustrated.

Info:

Periodical:
International Journal of Advanced Research in Mathematics (Volume 7)
Pages:
10-18
DOI:
https://doi.org/10.18052/www.scipress.com/IJARM.7.10
Citation:
M. Nategh and B. Agheli, "An Investigation on an Optimal Control Problem with a Fractional Constraint in the Riemann-Liouville Sense", International Journal of Advanced Research in Mathematics, Vol. 7, pp. 10-18, 2016
Online since:
Dec 2016
Authors:
Mehdi Nategh, Bahram Agheli
Keywords:
Caputo Fractional Derivative, Riemann-Liouville Optimal Control Problem, Volterra Integro-Differential Equation
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RIS, BibTeX, Text
Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

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