Shehu Transform and Applications to Caputo-Fractional Differential Equations

Shehu Transform and Applications to Caputo-Fractional Differential Equations

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In this manuscript we establish the expressions of the Shehu transform for fractional Riemann-Liouville and Caputo operators. With the help of this new integral transform we solve higher order fractional differential equations in the Caputo sense. Three illustrative examples are discussed to show ou...

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Main Authors: Rachid Belgacem, Dumitru Baleanu, Ahmed Bokhari
Format: Article
Language:English
Published: Etamaths Publishing 2019-11-01
Series:International Journal of Analysis and Applications
Online Access:http://www.etamaths.com/index.php/ijaa/article/view/1958
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spelling doaj-a6a6a40db0ca41afa7b8e5a152eecd772020-11-25T01:35:53ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392019-11-01176917927414Shehu Transform and Applications to Caputo-Fractional Differential EquationsRachid Belgacem0Dumitru Baleanu1Ahmed Bokhari2Hassiba Benbouali University of ChlefCankaya UniversityHassiba Benbouali University of ChlefIn this manuscript we establish the expressions of the Shehu transform for fractional Riemann-Liouville and Caputo operators. With the help of this new integral transform we solve higher order fractional differential equations in the Caputo sense. Three illustrative examples are discussed to show our approach.http://www.etamaths.com/index.php/ijaa/article/view/1958
collection DOAJ
language English
format Article
sources DOAJ
author Rachid Belgacem
Dumitru Baleanu
Ahmed Bokhari
spellingShingle Rachid Belgacem
Dumitru Baleanu
Ahmed Bokhari
Shehu Transform and Applications to Caputo-Fractional Differential Equations
International Journal of Analysis and Applications
author_facet Rachid Belgacem
Dumitru Baleanu
Ahmed Bokhari
author_sort Rachid Belgacem
title Shehu Transform and Applications to Caputo-Fractional Differential Equations
title_short Shehu Transform and Applications to Caputo-Fractional Differential Equations
title_full Shehu Transform and Applications to Caputo-Fractional Differential Equations
title_fullStr Shehu Transform and Applications to Caputo-Fractional Differential Equations
title_full_unstemmed Shehu Transform and Applications to Caputo-Fractional Differential Equations
title_sort shehu transform and applications to caputo-fractional differential equations
publisher Etamaths Publishing
series International Journal of Analysis and Applications
issn 2291-8639
publishDate 2019-11-01
description In this manuscript we establish the expressions of the Shehu transform for fractional Riemann-Liouville and Caputo operators. With the help of this new integral transform we solve higher order fractional differential equations in the Caputo sense. Three illustrative examples are discussed to show our approach.
url http://www.etamaths.com/index.php/ijaa/article/view/1958
work_keys_str_mv AT rachidbelgacem shehutransformandapplicationstocaputofractionaldifferentialequations
AT dumitrubaleanu shehutransformandapplicationstocaputofractionaldifferentialequations
AT ahmedbokhari shehutransformandapplicationstocaputofractionaldifferentialequations
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