Modified Laguerre operational matrices for fractional calculus and applications

DOI10.1080/00207728508926741zbMath0579.44005OpenAlexW2004914946MaRDI QIDQ3701938

Mawling Wang, Rongyeu Chang, Kun-Chou Chen

Publication date: 1985

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207728508926741

zbMATH Keywords

fractional derivativesLaguerre polynomialsLaguerre seriesoperational matrices

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Discrete operational calculus (44A55)

Related Items (9)

Application of a generalized block pulse function to a scaled system ⋮ New approximation method for inverse Laplace transforms using block-pulse functions ⋮ Numerical solution of fractional differential equations using cubic B-spline wavelet collocation method ⋮ An accurate and cost-efficient numerical approach to analyze the initial and boundary value problems of fractional multi-order ⋮ A novel operational matrix method for solving singularly perturbed boundary value problems of fractional multi-order ⋮ Block pulse-based techniques for modelling and synthesis of non-integer systems ⋮ Generalization of generalized orthogonal polynomial operational matrices for fractional and operational calculus ⋮ Operational method for solving fractional differential equations using cubic B-spline approximation ⋮ Functional approximation for inversion of Laplace transforms via polynomial series

Cites Work

• Unnamed Item
• Walsh operational matrices for fractional calculus and their application to distributed systems
• A stability criterion for linear time-varying systems
• Walsh series analysis in optimal control
• Analysis and optimal control of time-varying linear systems via Walsh functions

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