TY - JOUR
T1 - A hybrid method for variable-order fractional 2D optimal control problems on an unbounded domain
AU - Heydari, M. H.
AU - Avazzadeh, Z.
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag London Ltd. part of Springer Nature.
PY - 2022/8
Y1 - 2022/8
N2 - In this study, the Caputo-Fabrizio fractional derivative is applied to generate a new category of variable-order fractional 2D optimization problems in an unbounded domain. To approach this problem, a novel hybrid method is devised which simultaneously exploits two sets of basis functions: a new class of basis functions namely the modified second kind Chebyshev functions and the shifted second kind Chebyshev cardinal functions. With the aid of the Lagrange multipliers method, the presented method converts the optimization problem under study into a system of algebraic equations, which are uncomplicated to solve. To confirm the precision of this new hybrid method, a convincing number of test problems are examined.
AB - In this study, the Caputo-Fabrizio fractional derivative is applied to generate a new category of variable-order fractional 2D optimization problems in an unbounded domain. To approach this problem, a novel hybrid method is devised which simultaneously exploits two sets of basis functions: a new class of basis functions namely the modified second kind Chebyshev functions and the shifted second kind Chebyshev cardinal functions. With the aid of the Lagrange multipliers method, the presented method converts the optimization problem under study into a system of algebraic equations, which are uncomplicated to solve. To confirm the precision of this new hybrid method, a convincing number of test problems are examined.
KW - Optimization problems
KW - Second kind Chebyshev cardinal functions (SK-CCFs))
KW - Second kind Chebyshev functions (SK-CFs)
KW - Unbounded domain
UR - http://www.scopus.com/inward/record.url?scp=85101724004&partnerID=8YFLogxK
U2 - 10.1007/s00366-021-01287-w
DO - 10.1007/s00366-021-01287-w
M3 - Article
AN - SCOPUS:85101724004
SN - 0177-0667
VL - 38
SP - 3237
EP - 3249
JO - Engineering with Computers
JF - Engineering with Computers
IS - 4
ER -