Abstract
This paper introduces a generalization of the Fractional Optimal Control Problem (GFOCP). Proposed generalizations differ in terms of explaining the constraint involved in the dynamical system of the control problem. We assume the constraint as an arbitrary function of fractional derivatives and fractional integrals. By this assumption the restriction on constraint, to be of some prescribed function of fractional operators, is removed. Deduction of necessary optimality conditions followed by particular cases and examples has been provided. Additionally, we construct a solution scheme for the suggested class of (GFOCP)’s. The formulation of this scheme is done by implementing the Adomian decomposition method on necessary optimality conditions. An example is presented to demonstrate the application of solution scheme. Fractional operators used throughout the paper are either Riemann-Liouville or Caputo’s fractional operators.
Recommended Citation
Singha, N. and Nahak, C.
(2016).
A Numerical Scheme for Generalized Fractional Optimal Control Problems,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 11,
Iss.
2, Article 20.
Available at:
https://digitalcommons.pvamu.edu/aam/vol11/iss2/20
Included in
Control Theory Commons, Numerical Analysis and Computation Commons, Partial Differential Equations Commons