Fractional‐order Chebyshev wavelet method for variable‐order fractional optimal control problems

DOI10.1002/mma.7816OpenAlexW3203724653MaRDI QIDQ6188911

Mohsen Razzaghi, Ghodsieh Ghanbari

Publication date: 12 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.7816

zbMATH Keywords

beta functionnumerical methodfractional integralfractional-order Chebyshev waveletvariable order fractional optimal control

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Hamilton-Jacobi theories (49L99) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• A numerical solution for variable order fractional functional differential equation
• An extension of the spectral tau method for numerical solution of multi-order fractional differential equations with convergence analysis
• A CAS wavelet method for solving nonlinear Fredholm integro-differential equations of fractional order
• Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
• Fractional optimal control problem for variable-order differential systems
• Legendre wavelets optimization method for variable-order fractional Poisson equation
• Fractional-order Legendre functions for solving fractional-order differential equations
• Numerical solution of 1D and 2D fractional optimal control of system via Bernoulli polynomials
• Operational matrix approach for solving the variable-order nonlinear Galilei invariant advection-diffusion equation
• A generalized fractional-order Legendre wavelet Tau method for solving fractional differential equations
• A new approach of the Chebyshev wavelets method for partial differential equations with boundary conditions of the telegraph type
• Blind in a commutative world: simple illustrations with functions and chaotic attractors
• Chebyshev cardinal functions for a new class of nonlinear optimal control problems generated by Atangana-Baleanu-Caputo variable-order fractional derivative
• Generalized shifted Chebyshev polynomials for fractional optimal control problems
• Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag-Leffler non-singular kernel
• On the variable order dynamics of the nonlinear wake caused by a sedimenting particle
• Transcendental Bernstein series for solving nonlinear variable order fractional optimal control problems
• Fractional-order Bernoulli wavelets and their applications
• A new approach based on using Chebyshev wavelets for solving various optimal control problems
• New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions
• An iterative method for the design of variable fractional-order FIR differintegrators
• Numerical solution of the fractional Bagley-Torvik equation by using hybrid functions approximation
• Variable Order Modeling of Diffusive-convective Effects on the Oscillatory Flow Past a Sphere
• A new Wavelet Method for Variable‐Order Fractional Optimal Control Problems
• Integration and differentiation to a variable fractional order
• Solving fractional optimal control problems by new Bernoulli wavelets operational matrices
• Fractional-order Bessel wavelet functions for solving variable order fractional optimal control problems with estimation error

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