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Numerical Solution for Arbitrary Domain of Fractional Integro-differential Equation via the General Shifted Genocchi Polynomials

The Genocchi polynomial has been increasingly used as a convenient tool to solve some fractional calculus problems, due to their nice properties. However, like some other members in the Appell polynomials, the nice properties are always limited to the interval defined in ½0, 1�. In this paper, we ex...

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Main Authors: Loh, Jian Rong, Phang, Chang, Isah, Abdulnasir
Format: Article
Language:English
Published: Hindawi 2023
Subjects:
T Technology (General)
Online Access:http://eprints.uthm.edu.my/11580/1/J16109_345440b6eeae9092d304a148e11323b2.pdf
http://eprints.uthm.edu.my/11580/
https://doi.org/10.1155/2023/5921425
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spelling my.uthm.eprints.115802024-09-03T08:50:41Z http://eprints.uthm.edu.my/11580/ Numerical Solution for Arbitrary Domain of Fractional Integro-differential Equation via the General Shifted Genocchi Polynomials Loh, Jian Rong Phang, Chang Isah, Abdulnasir T Technology (General) The Genocchi polynomial has been increasingly used as a convenient tool to solve some fractional calculus problems, due to their nice properties. However, like some other members in the Appell polynomials, the nice properties are always limited to the interval defined in ½0, 1�. In this paper, we extend the Genocchi polynomials to the general shifted Genocchi polynomials, Sða,bÞ n ðxÞ, which are defined for interval ½a, b�. New properties for this general shifted Genocchi polynomials will be introduced, including the determinant form. This general shifted Genocchi polynomials can overcome the conventional formula of finding the Genocchi coefficients of a function fðxÞ that involves f ðn−1Þ ðxÞ which may not be defined at x = 0, 1. Hence, we use the general shifted Genocchi polynomials to derive the operational matrix and hence to solve the Fredholm-type fractional integrodifferential equations with arbitrary domain ½a, b�. Hindawi 2023 Article PeerReviewed text en http://eprints.uthm.edu.my/11580/1/J16109_345440b6eeae9092d304a148e11323b2.pdf Loh, Jian Rong and Phang, Chang and Isah, Abdulnasir (2023) Numerical Solution for Arbitrary Domain of Fractional Integro-differential Equation via the General Shifted Genocchi Polynomials. Journal of Function Spaces. pp. 1-12. https://doi.org/10.1155/2023/5921425
institution Universiti Tun Hussein Onn Malaysia
building UTHM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Tun Hussein Onn Malaysia
content_source UTHM Institutional Repository
url_provider http://eprints.uthm.edu.my/
language English
topic T Technology (General)
spellingShingle T Technology (General)
Loh, Jian Rong
Phang, Chang
Isah, Abdulnasir
Numerical Solution for Arbitrary Domain of Fractional Integro-differential Equation via the General Shifted Genocchi Polynomials
description The Genocchi polynomial has been increasingly used as a convenient tool to solve some fractional calculus problems, due to their nice properties. However, like some other members in the Appell polynomials, the nice properties are always limited to the interval defined in ½0, 1�. In this paper, we extend the Genocchi polynomials to the general shifted Genocchi polynomials, Sða,bÞ n ðxÞ, which are defined for interval ½a, b�. New properties for this general shifted Genocchi polynomials will be introduced, including the determinant form. This general shifted Genocchi polynomials can overcome the conventional formula of finding the Genocchi coefficients of a function fðxÞ that involves f ðn−1Þ ðxÞ which may not be defined at x = 0, 1. Hence, we use the general shifted Genocchi polynomials to derive the operational matrix and hence to solve the Fredholm-type fractional integrodifferential equations with arbitrary domain ½a, b�.
format Article
author Loh, Jian Rong
Phang, Chang
Isah, Abdulnasir
author_facet Loh, Jian Rong
Phang, Chang
Isah, Abdulnasir
author_sort Loh, Jian Rong
title Numerical Solution for Arbitrary Domain of Fractional Integro-differential Equation via the General Shifted Genocchi Polynomials
title_short Numerical Solution for Arbitrary Domain of Fractional Integro-differential Equation via the General Shifted Genocchi Polynomials
title_full Numerical Solution for Arbitrary Domain of Fractional Integro-differential Equation via the General Shifted Genocchi Polynomials
title_fullStr Numerical Solution for Arbitrary Domain of Fractional Integro-differential Equation via the General Shifted Genocchi Polynomials
title_full_unstemmed Numerical Solution for Arbitrary Domain of Fractional Integro-differential Equation via the General Shifted Genocchi Polynomials
title_sort numerical solution for arbitrary domain of fractional integro-differential equation via the general shifted genocchi polynomials
publisher Hindawi
publishDate 2023
url http://eprints.uthm.edu.my/11580/1/J16109_345440b6eeae9092d304a148e11323b2.pdf
http://eprints.uthm.edu.my/11580/
https://doi.org/10.1155/2023/5921425
_version_ 1811687203913334784
score 13.211869

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