"Haar Collocations Method for Nonlinear Variable Order Fractional Integ" by Rohul Amin, Thanin Sitthiwirattham et al.

Progress in Fractional Differentiation & Applications

Article Title

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

Authors

Rohul Amin, Department of Mathematics, University of Peshawar, Khyber Pukhtunkhwa, 25120, PakistanFollow
Thanin Sitthiwirattham, Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok, ThailandFollow
Muhammad Bilal Hafeez, Institute of Structural Analysis, Poznan University of Technology, Piotrowo 5 Street, 60-965 Poznan, PolandFollow
Wojciech Sumelka, Institute of Structural Analysis, Poznan University of Technology, Piotrowo 5 Street, 60-965 Poznan, PolandFollow

Author Country (or Countries)

Thailand

Abstract

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.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090203

Recommended Citation

Amin, Rohul; Sitthiwirattham, Thanin; Bilal Hafeez, Muhammad; and Sumelka, Wojciech (2023) "Haar Collocations Method for Nonlinear Variable Order Fractional Integro-Differential Equations," Progress in Fractional Differentiation & Applications: Vol. 9: Iss. 2, Article 3.
DOI: http://dx.doi.org/10.18576/pfda/090203
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol9/iss2/3

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