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- Title
An Efficient Algorithm for the Multi-Scale Solution of Nonlinear Fractional Optimal Control Problems.
- Authors
Noori Dalawi, Araz; Lakestani, Mehrdad; Ashpazzadeh, Elmira
- Abstract
An efficient algorithm based on the wavelet collocation method is introduced in order to solve nonlinear fractional optimal control problems (FOCPs) with inequality constraints. By using the interpolation properties of Hermite cubic spline functions, we construct an operational matrix of the Caputo fractional derivative for the first time. Using this matrix, we reduce the nonlinear fractional optimal control problem to a nonlinear programming problem that can be solved with some suitable optimization algorithms. Illustrative examples are examined to demonstrate the important features of the new method.
- Subjects
CAPUTO fractional derivatives; SPLINES; COLLOCATION methods; ALGORITHMS; NONLINEAR programming; NONLINEAR equations
- Publication
Mathematics (2227-7390), 2022, Vol 10, Issue 20, p3779
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math10203779