Existence and data dependence results for fractional differential equations involving atangana-baleanu derivative

In the current paper, we consider multi-derivative nonlinear fractional differential equations involving Atangana-Baleanu fractional derivative. We investigate the fundamental results about the existence, uniqueness, boundedness and dependence of the solution on various data. The analysis is based o...

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Autores principales: Sutar, Sagar T., Kucche, Kishor D.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8210742/
http://dx.doi.org/10.1007/s12215-021-00622-w
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author Sutar, Sagar T.
Kucche, Kishor D.
author_facet Sutar, Sagar T.
Kucche, Kishor D.
author_sort Sutar, Sagar T.
collection PubMed
description In the current paper, we consider multi-derivative nonlinear fractional differential equations involving Atangana-Baleanu fractional derivative. We investigate the fundamental results about the existence, uniqueness, boundedness and dependence of the solution on various data. The analysis is based on a fractional integral operator due to T. R. Prabhakar involving generalized Mittag-Leffler function, the Krasnoselskii’s fixed point theorem and Gronwall-Bellman inequality with continuous functions.
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spelling pubmed-82107422021-06-17 Existence and data dependence results for fractional differential equations involving atangana-baleanu derivative Sutar, Sagar T. Kucche, Kishor D. Rend. Circ. Mat. Palermo, II. Ser Article In the current paper, we consider multi-derivative nonlinear fractional differential equations involving Atangana-Baleanu fractional derivative. We investigate the fundamental results about the existence, uniqueness, boundedness and dependence of the solution on various data. The analysis is based on a fractional integral operator due to T. R. Prabhakar involving generalized Mittag-Leffler function, the Krasnoselskii’s fixed point theorem and Gronwall-Bellman inequality with continuous functions. Springer International Publishing 2021-06-17 2022 /pmc/articles/PMC8210742/ http://dx.doi.org/10.1007/s12215-021-00622-w Text en © The Author(s), under exclusive licence to Springer-Verlag Italia S.r.l., part of Springer Nature 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Article
Sutar, Sagar T.
Kucche, Kishor D.
Existence and data dependence results for fractional differential equations involving atangana-baleanu derivative
title Existence and data dependence results for fractional differential equations involving atangana-baleanu derivative
title_full Existence and data dependence results for fractional differential equations involving atangana-baleanu derivative
title_fullStr Existence and data dependence results for fractional differential equations involving atangana-baleanu derivative
title_full_unstemmed Existence and data dependence results for fractional differential equations involving atangana-baleanu derivative
title_short Existence and data dependence results for fractional differential equations involving atangana-baleanu derivative
title_sort existence and data dependence results for fractional differential equations involving atangana-baleanu derivative
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8210742/
http://dx.doi.org/10.1007/s12215-021-00622-w
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