Haar Collocations Method for Nonlinear Variable Order Fractional Integro-Differential Equations

Rohul Amin; Thanin Sitthiwirattham; Muhammad Bilal Hafeez; Wojciech Sumelka

doi:10.18576/pfda/090203

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Title

Haar Collocations Method for Nonlinear Variable Order Fractional Integro-Differential Equations

Authors

Rohul Amin
Thanin Sitthiwirattham
Muhammad Bilal Hafeez (WILiT) ^{[ 1 ][ 2.7 ][ SzD ]}
Wojciech Sumelka (WILiT) ^{[ 2 ][ 2.7 ][ P ]}

^{[ 1 ]} Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | ^{[ 2 ]} Instytut Analizy Konstrukcji, Wydział Inżynierii Lądowej i Transportu, Politechnika Poznańska | ^{[ SzD ]} doctoral school student | ^{[ P ]} employee

Scientific discipline (Law 2.0)

[2.7] Civil engineering, geodesy and transport

Year of publication

2023

Published in

Progress in Fractional Differentiation and Applications

Journal year: 2023 | Journal volume: vol. 9 | Journal number: no. 2

Article type

scientific article

Publication language

english

Keywords

EN

Fractional calculus
Gauss elimination method
Haar wavelet
numerical approximation

Abstract

EN Variable order integrations and differentiations are the natural extensions of the corresponding usual operators. The idea was first introduced by Samko and his coauthors. Due to the importance of the said area, we consider a class of fractional integro-differential equations(FIDEs) under the variable order (VO) differentiation. Our investigation is related to numerical solution. For the said results, we utilize Haar collocation method (HCM). The concerned method has a convergence rate of order two and itself based on Broydens technique. Various examples are testified by using the said techniques. Numerical interpretations are done by using Matlab.

Date of online publication

01.04.2023

Pages (from - to)

223 - 229

DOI

10.18576/pfda/090203

URL

https://www.naturalspublishing.com/Article.asp?ArtcID=23877

Ministry points / journal

20

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