On fractional Hahn calculus

Abstract In this paper, the new concepts of Hahn difference operators are introduced. The properties of fractional Hahn calculus in the sense of a forward Hahn difference operator are introduced and developed.

Bibliographic Details
Main Authors: Tanapat Brikshavana, Thanin Sitthiwirattham
Format: Article
Language:English
Published: SpringerOpen 2017-11-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-017-1412-y
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author Tanapat Brikshavana
Thanin Sitthiwirattham
author_facet Tanapat Brikshavana
Thanin Sitthiwirattham
author_sort Tanapat Brikshavana
collection DOAJ
description Abstract In this paper, the new concepts of Hahn difference operators are introduced. The properties of fractional Hahn calculus in the sense of a forward Hahn difference operator are introduced and developed.
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spelling doaj.art-7fb036b2828d4d978034e3be0f8b65dc2022-12-22T02:51:28ZengSpringerOpenAdvances in Difference Equations1687-18472017-11-012017111510.1186/s13662-017-1412-yOn fractional Hahn calculusTanapat Brikshavana0Thanin Sitthiwirattham1Mathematics Department, Faculty of Science and Technology, Suan Dusit UniversityMathematics Department, Faculty of Science and Technology, Suan Dusit UniversityAbstract In this paper, the new concepts of Hahn difference operators are introduced. The properties of fractional Hahn calculus in the sense of a forward Hahn difference operator are introduced and developed.http://link.springer.com/article/10.1186/s13662-017-1412-yfractional Hahn integralfractional Hahn difference operatorJackson-Nörlund integral
spellingShingle Tanapat Brikshavana
Thanin Sitthiwirattham
On fractional Hahn calculus
Advances in Difference Equations
fractional Hahn integral
fractional Hahn difference operator
Jackson-Nörlund integral
title On fractional Hahn calculus
title_full On fractional Hahn calculus
title_fullStr On fractional Hahn calculus
title_full_unstemmed On fractional Hahn calculus
title_short On fractional Hahn calculus
title_sort on fractional hahn calculus
topic fractional Hahn integral
fractional Hahn difference operator
Jackson-Nörlund integral
url http://link.springer.com/article/10.1186/s13662-017-1412-y
work_keys_str_mv AT tanapatbrikshavana onfractionalhahncalculus
AT thaninsitthiwirattham onfractionalhahncalculus