TY - JOUR
ID - 5432
TI - Biorthogonal cubic Hermite spline multiwavelets on the interval for solving the fractional optimal control problems
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Ashpazzadeh, Elmira
AU - Lakestani, Mehrdad
AD - Department of Applied Mathematics,
Faculty of Mathematical Sciences,
University of Tabriz, Tabriz, Iran
Y1 - 2016
PY - 2016
VL - 4
IS - 2
SP - 99
EP - 115
KW - Caputo fractional derivative
KW - Fractional order optimal control
KW - Biorthogonal cubic Hermite spline multiwavelets
DO -
N2 - In this paper, a new numerical method for solving fractional optimal control problems (FOCPs) is presented. The fractional derivative in the dynamic system is described in the Caputo sense. The method is based upon biorthogonal cubic Hermite spline multiwavelets approximations. The properties of biorthogonal multiwavelets are first given. The operational matrix of fractional Riemann-Lioville integration and multiplication are then utilized to reduce the given optimization problem to the system of algebraic equations. In order to save memory requirement and computational time, a threshold procedure is applied to obtain algebraicÂ equations. Illustrative examples are provided to confirm the applicability of the new method.
UR - https://cmde.tabrizu.ac.ir/article_5432.html
L1 - https://cmde.tabrizu.ac.ir/article_5432_1b3c457da684d464a56954bafabf776f.pdf
ER -