On the Solutions of Fractional Cauchy Problem Featuring Conformable Derivative

On the Solutions of Fractional Cauchy Problem Featuring Conformable Derivative

In this study, we have obtained analytical solutions of fractional Cauchy problem by using q-Homotopy Analysis Method (q-HAM) featuring conformable derivative. We have considered different situations according to the homogeneity and linearity of the fractional Cauchy differential equation. A detaile...

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Main Authors: Yavuz Mehmet, Özdemir Necati
Format: Article
Language:English
Published: EDP Sciences 2018-01-01
Series:ITM Web of Conferences
Online Access:https://doi.org/10.1051/itmconf/20182201045
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spelling doaj-3bb03c66b72149e69e10877a1913528a2021-02-02T09:09:13ZengEDP SciencesITM Web of Conferences2271-20972018-01-01220104510.1051/itmconf/20182201045itmconf_cmes2018_01045On the Solutions of Fractional Cauchy Problem Featuring Conformable DerivativeYavuz MehmetÖzdemir NecatiIn this study, we have obtained analytical solutions of fractional Cauchy problem by using q-Homotopy Analysis Method (q-HAM) featuring conformable derivative. We have considered different situations according to the homogeneity and linearity of the fractional Cauchy differential equation. A detailed analysis of the results obtained in the study has been reported. According to the results, we have found out that our obtained solutions approach very speedily to the exact solutions.https://doi.org/10.1051/itmconf/20182201045
collection DOAJ
language English
format Article
sources DOAJ
author Yavuz Mehmet
Özdemir Necati
spellingShingle Yavuz Mehmet
Özdemir Necati
On the Solutions of Fractional Cauchy Problem Featuring Conformable Derivative
ITM Web of Conferences
author_facet Yavuz Mehmet
Özdemir Necati
author_sort Yavuz Mehmet
title On the Solutions of Fractional Cauchy Problem Featuring Conformable Derivative
title_short On the Solutions of Fractional Cauchy Problem Featuring Conformable Derivative
title_full On the Solutions of Fractional Cauchy Problem Featuring Conformable Derivative
title_fullStr On the Solutions of Fractional Cauchy Problem Featuring Conformable Derivative
title_full_unstemmed On the Solutions of Fractional Cauchy Problem Featuring Conformable Derivative
title_sort on the solutions of fractional cauchy problem featuring conformable derivative
publisher EDP Sciences
series ITM Web of Conferences
issn 2271-2097
publishDate 2018-01-01
description In this study, we have obtained analytical solutions of fractional Cauchy problem by using q-Homotopy Analysis Method (q-HAM) featuring conformable derivative. We have considered different situations according to the homogeneity and linearity of the fractional Cauchy differential equation. A detailed analysis of the results obtained in the study has been reported. According to the results, we have found out that our obtained solutions approach very speedily to the exact solutions.
url https://doi.org/10.1051/itmconf/20182201045
work_keys_str_mv AT yavuzmehmet onthesolutionsoffractionalcauchyproblemfeaturingconformablederivative
AT ozdemirnecati onthesolutionsoffractionalcauchyproblemfeaturingconformablederivative
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