صورة الغلاف

A novel computational tool for the fractional-order special functions arising from modeling scientific phenomena via Abu-Shady-Kaabar fractional derivative

Recently, a generalized fractional derivative formulation, known as Abu-Shady-Kaabar fractional derivative, is studied in detail which produces satisfactory results that are consistent with conventional definitions of fractional derivative such as Caputo and Riemann-Liouville. To derive the fraction...

وصف كامل

محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Abu-Shady, Mohamed, Kaabar, Mohammed Khalid Awad
التنسيق: مقال
منشور في: Hindawi Ltd 2022
الموضوعات:
QA Mathematics
QA75 Electronic computers. Computer science
الوصول للمادة أونلاين:http://eprints.um.edu.my/40939/
الوسوم: إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
id my.um.eprints.40939
record_format eprints
spelling my.um.eprints.409392023-08-28T01:31:19Z http://eprints.um.edu.my/40939/ A novel computational tool for the fractional-order special functions arising from modeling scientific phenomena via Abu-Shady-Kaabar fractional derivative Abu-Shady, Mohamed Kaabar, Mohammed Khalid Awad QA Mathematics QA75 Electronic computers. Computer science Recently, a generalized fractional derivative formulation, known as Abu-Shady-Kaabar fractional derivative, is studied in detail which produces satisfactory results that are consistent with conventional definitions of fractional derivative such as Caputo and Riemann-Liouville. To derive the fractional forms of special functions, the generalized fractional derivative is used. The findings demonstrate that the current findings are compatible with Caputo findings. In addition, the fractional solution to the Bessel equation is found. While modeling phenomena in engineering, physical, and health sciences, special functions can be encountered in most modeling scenarios related to electromagnetic waves, hydrodynamics, and other related models. Therefore, there is a need for a computational tool for computing special functions in the sense of fractional calculus. This tool provides a straightforward technique for some fractional-order special functions while modeling these scientific phenomena in science, medicine, and engineering. Hindawi Ltd 2022-07 Article PeerReviewed Abu-Shady, Mohamed and Kaabar, Mohammed Khalid Awad (2022) A novel computational tool for the fractional-order special functions arising from modeling scientific phenomena via Abu-Shady-Kaabar fractional derivative. Computational and Mathematical Methods in Medicine, 2022. ISSN 1748-670X,
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
QA75 Electronic computers. Computer science
spellingShingle QA Mathematics
QA75 Electronic computers. Computer science
Abu-Shady, Mohamed
Kaabar, Mohammed Khalid Awad
A novel computational tool for the fractional-order special functions arising from modeling scientific phenomena via Abu-Shady-Kaabar fractional derivative
description Recently, a generalized fractional derivative formulation, known as Abu-Shady-Kaabar fractional derivative, is studied in detail which produces satisfactory results that are consistent with conventional definitions of fractional derivative such as Caputo and Riemann-Liouville. To derive the fractional forms of special functions, the generalized fractional derivative is used. The findings demonstrate that the current findings are compatible with Caputo findings. In addition, the fractional solution to the Bessel equation is found. While modeling phenomena in engineering, physical, and health sciences, special functions can be encountered in most modeling scenarios related to electromagnetic waves, hydrodynamics, and other related models. Therefore, there is a need for a computational tool for computing special functions in the sense of fractional calculus. This tool provides a straightforward technique for some fractional-order special functions while modeling these scientific phenomena in science, medicine, and engineering.
format Article
author Abu-Shady, Mohamed
Kaabar, Mohammed Khalid Awad
author_facet Abu-Shady, Mohamed
Kaabar, Mohammed Khalid Awad
author_sort Abu-Shady, Mohamed
title A novel computational tool for the fractional-order special functions arising from modeling scientific phenomena via Abu-Shady-Kaabar fractional derivative
title_short A novel computational tool for the fractional-order special functions arising from modeling scientific phenomena via Abu-Shady-Kaabar fractional derivative
title_full A novel computational tool for the fractional-order special functions arising from modeling scientific phenomena via Abu-Shady-Kaabar fractional derivative
title_fullStr A novel computational tool for the fractional-order special functions arising from modeling scientific phenomena via Abu-Shady-Kaabar fractional derivative
title_full_unstemmed A novel computational tool for the fractional-order special functions arising from modeling scientific phenomena via Abu-Shady-Kaabar fractional derivative
title_sort novel computational tool for the fractional-order special functions arising from modeling scientific phenomena via abu-shady-kaabar fractional derivative
publisher Hindawi Ltd
publishDate 2022
url http://eprints.um.edu.my/40939/
_version_ 1776247420783427584
score 13.251813

مواد مشابهة