Explicit bounds on certain integral inequalities via conformable fractional calculus

Explicit bounds on certain integral inequalities via conformable fractional calculus

In this paper, we present some explicit upper bounds for integral inequalities with the help of Katugampola-type conformable fractional calculus. The results have been obtained to cover the previous published studies for Gronwall–Bellman and Bihari like integral inequalities.

Bibliographic Details
Main Authors: Fuat Usta, Mehmet Zeki Sarıkaya
Format: Article
Language:English
Published: Taylor & Francis Group 2017-01-01
Series:Cogent Mathematics
Subjects:
integral inequality
conformable fractional differential equation
global existence
Online Access:http://dx.doi.org/10.1080/23311835.2016.1277505
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spelling doaj-ac59f72098f84c91b93e463256659cfa2020-11-25T01:33:14ZengTaylor & Francis GroupCogent Mathematics2331-18352017-01-014110.1080/23311835.2016.12775051277505Explicit bounds on certain integral inequalities via conformable fractional calculusFuat Usta0Mehmet Zeki Sarıkaya1Düzce UniversityDüzce UniversityIn this paper, we present some explicit upper bounds for integral inequalities with the help of Katugampola-type conformable fractional calculus. The results have been obtained to cover the previous published studies for Gronwall–Bellman and Bihari like integral inequalities.http://dx.doi.org/10.1080/23311835.2016.1277505integral inequalityconformable fractional differential equationglobal existence
collection DOAJ
language English
format Article
sources DOAJ
author Fuat Usta
Mehmet Zeki Sarıkaya
spellingShingle Fuat Usta
Mehmet Zeki Sarıkaya
Explicit bounds on certain integral inequalities via conformable fractional calculus
Cogent Mathematics
integral inequality
conformable fractional differential equation
global existence
author_facet Fuat Usta
Mehmet Zeki Sarıkaya
author_sort Fuat Usta
title Explicit bounds on certain integral inequalities via conformable fractional calculus
title_short Explicit bounds on certain integral inequalities via conformable fractional calculus
title_full Explicit bounds on certain integral inequalities via conformable fractional calculus
title_fullStr Explicit bounds on certain integral inequalities via conformable fractional calculus
title_full_unstemmed Explicit bounds on certain integral inequalities via conformable fractional calculus
title_sort explicit bounds on certain integral inequalities via conformable fractional calculus
publisher Taylor & Francis Group
series Cogent Mathematics
issn 2331-1835
publishDate 2017-01-01
description In this paper, we present some explicit upper bounds for integral inequalities with the help of Katugampola-type conformable fractional calculus. The results have been obtained to cover the previous published studies for Gronwall–Bellman and Bihari like integral inequalities.
topic integral inequality
conformable fractional differential equation
global existence
url http://dx.doi.org/10.1080/23311835.2016.1277505
work_keys_str_mv AT fuatusta explicitboundsoncertainintegralinequalitiesviaconformablefractionalcalculus
AT mehmetzekisarıkaya explicitboundsoncertainintegralinequalitiesviaconformablefractionalcalculus
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