Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus

Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus

The aim of this paper is to establish an (presumably new) extension of generalized Bessel-Maitland function by using the extension of extended beta function. In addition, investigate several important properties namely integral representation, derivatives, recurrence relation, Beta transform and Mel...

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Main Authors: D. L. Suthar, A. M. Khan, A. Alaria, S. D. Purohit, J. Singh
Format: Article
Language:English
Published: AIMS Press 2020-01-01
Series:AIMS Mathematics
Subjects:
extended bessel-maitland function
extended beta function
integral transform
riemann-liouville fractional calculus operators
Online Access:https://www.aimspress.com/article/10.3934/math.2020096/fulltext.html
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spelling doaj-f59b36436f1048de84b959d8b7b347322020-11-25T02:06:32ZengAIMS PressAIMS Mathematics2473-69882020-01-01521400141010.3934/math.2020096Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculusD. L. Suthar0A. M. Khan1A. Alaria2S. D. Purohit3J. Singh41 Department of Mathematics, Wollo University, P. O. Box: 1145, Dessie, Ethiopia2 Department of Mathematics, JIET Group of Institutions, Jodhpur, Rajasthan, India3 Department of Mathematics, Poornima University, Jaipur, 303905, India4 Department of HEAS(Mathematics), Rajasthan Technical University, Kota-324010, India5 Department of Mathematics, JECRC University, Jaipur-303905, IndiaThe aim of this paper is to establish an (presumably new) extension of generalized Bessel-Maitland function by using the extension of extended beta function. In addition, investigate several important properties namely integral representation, derivatives, recurrence relation, Beta transform and Mellin transform. Further, certain properties of the Riemann-Liouville fractional calculus associated with extended generalized Bessel-Maitland function are also investigated.https://www.aimspress.com/article/10.3934/math.2020096/fulltext.htmlextended bessel-maitland functionextended beta functionintegral transformriemann-liouville fractional calculus operators
collection DOAJ
language English
format Article
sources DOAJ
author D. L. Suthar
A. M. Khan
A. Alaria
S. D. Purohit
J. Singh
spellingShingle D. L. Suthar
A. M. Khan
A. Alaria
S. D. Purohit
J. Singh
Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus
AIMS Mathematics
extended bessel-maitland function
extended beta function
integral transform
riemann-liouville fractional calculus operators
author_facet D. L. Suthar
A. M. Khan
A. Alaria
S. D. Purohit
J. Singh
author_sort D. L. Suthar
title Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus
title_short Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus
title_full Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus
title_fullStr Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus
title_full_unstemmed Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus
title_sort extended bessel-maitland function and its properties pertaining to integral transforms and fractional calculus
publisher AIMS Press
series AIMS Mathematics
issn 2473-6988
publishDate 2020-01-01
description The aim of this paper is to establish an (presumably new) extension of generalized Bessel-Maitland function by using the extension of extended beta function. In addition, investigate several important properties namely integral representation, derivatives, recurrence relation, Beta transform and Mellin transform. Further, certain properties of the Riemann-Liouville fractional calculus associated with extended generalized Bessel-Maitland function are also investigated.
topic extended bessel-maitland function
extended beta function
integral transform
riemann-liouville fractional calculus operators
url https://www.aimspress.com/article/10.3934/math.2020096/fulltext.html
work_keys_str_mv AT dlsuthar extendedbesselmaitlandfunctionanditspropertiespertainingtointegraltransformsandfractionalcalculus
AT amkhan extendedbesselmaitlandfunctionanditspropertiespertainingtointegraltransformsandfractionalcalculus
AT aalaria extendedbesselmaitlandfunctionanditspropertiespertainingtointegraltransformsandfractionalcalculus
AT sdpurohit extendedbesselmaitlandfunctionanditspropertiespertainingtointegraltransformsandfractionalcalculus
AT jsingh extendedbesselmaitlandfunctionanditspropertiespertainingtointegraltransformsandfractionalcalculus
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