 SCW-iterative-computational method for solving a wide class of nonlinear fractional optimal control problems with Caputo derivativesOmid Baghani Mathematics and Computers in Simulation (MATCOM), 2022, vol. 202, issue C, 540-558 Abstract: The present paper offers an iterative-computational approach based on left and right operational matrices of the second Chebyshev wavelets (SCWs) in solving nonlinear fractional optimal control problems (FOCPs). The operational matrices are constructed by the hat functions (HFs). We first introduce necessary optimality conditions applying variational methods in a form of fractional two-point boundary value problem (TPBVP). For solving TPBVP, a fixed point iterative sequence, starting with an initial guess, in the hope of achieving more accurate solutions, is suggested. The SCWs-coefficients are easily obtained without any integrating. The order of convergence of the proposed method is accomplished in a new normed space. In the end of the article, some illustrative examples are provided to confirm the ability of the suggested technique. Keywords: Nonlinear fractional optimal control problem (FOCP); Caputo fractional derivative; Necessary optimality conditions; Left and right operational matrices; Second chebyshev wavelets (SCWs); Convergence rate (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:202:y:2022:i:c:p:540-558 DOI: 10.1016/j.matcom.2022.07.025 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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