Chebyshev cardinal polynomials for delay distributed-order fractional fourth-order sub-diffusion equation
M.H. Heydari,
M. Razzaghi and
J. Rouzegar
Chaos, Solitons & Fractals, 2022, vol. 162, issue C
Abstract:
In this work, a category of delay distributed-order time fractional fourth-order sub-diffusion equations is investigated. The Chebyshev cardinal polynomials (as a proper class of basis functions) are employed to make an appropriate methodology for these problems. To this end, some matrix relationships regarding the distributed-order fractional differentiation (in the Caputo kind) of these polynomials are extracted and applied in generating the desired approach. The provided method converts solving these problems into obtaining the solution of systems of algebraic equations. The reliability of the technique is evaluated by solving three examples.
Keywords: Delay distributed-order time fractional fourth-order sub-diffusion equation; Chebyshev polynomials; Distributed-order fractional derivative matrix (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:
Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077922007019
Full text for ScienceDirect subscribers only
Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
HTML/Text
Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922007019
DOI: 10.1016/j.chaos.2022.112495
Access Statistics for this article
Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros
More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. (repec@elsevier.com).