Numerical analysis of pantograph differential equation of the stretched type associated with fractal-fractional derivatives via fractional order Legendre wavelets

Ashish Rayal and Sag Ram Verma

Chaos, Solitons & Fractals, 2020, vol. 139, issue C

Abstract: In the present paper, a method of using fractional order Legendre wavelets is proposed for solving the pantograph differential equation of the stretched type involved with Caputo fractal-fractional and Atangana-Baleanu fractal-fractional derivatives. The suggested approach is based on the fractal-fractional integral operational matrix of fractional order Legendre wavelets and collocation method. The purpose of this article is to analyze the behavior of the pantograph differential equation of the stretched type under the fractal-fractional operators. Two illustrative numerical examples are taken and the results achieved for these examples with different fractional order and fractal order predict the applicability and efficiency of the suggested method using graphs and tables.

Keywords: Fractal-fractional operators; Fractal-fractional pantograph differential equation of stretched type; Fractional order Legendre wavelets; Fractal-fractional integral operational matrix; Collocation method (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077920304732
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:139:y:2020:i:c:s0960077920304732

DOI: 10.1016/j.chaos.2020.110076

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. ().