Study of impulsive problems under Mittag-Leffler power law

This article is fundamentally concerned with deriving the solution formula, existence, and uniqueness of solutions of two types of Cauchy problems for impulsive fractional differential equations involving Atangana-Baleanu-Caputo (ABC) fractional derivative which possesses nonsingular Mittag-Leffler...

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Detalles Bibliográficos
Autores principales: Abdo, Mohammed S., Abdeljawad, Thabet, Shah, Kamal, Jarad, Fahd
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2020
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7549066/
https://www.ncbi.nlm.nih.gov/pubmed/33072909
http://dx.doi.org/10.1016/j.heliyon.2020.e05109
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author Abdo, Mohammed S.
Abdeljawad, Thabet
Shah, Kamal
Jarad, Fahd
author_facet Abdo, Mohammed S.
Abdeljawad, Thabet
Shah, Kamal
Jarad, Fahd
author_sort Abdo, Mohammed S.
collection PubMed
description This article is fundamentally concerned with deriving the solution formula, existence, and uniqueness of solutions of two types of Cauchy problems for impulsive fractional differential equations involving Atangana-Baleanu-Caputo (ABC) fractional derivative which possesses nonsingular Mittag-Leffler kernel. Our investigation is based on nonlinear functional analysis and some fixed point techniques. Besides, some examples are given delineated to illustrate the effectiveness of our outcome.
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spelling pubmed-75490662020-10-16 Study of impulsive problems under Mittag-Leffler power law Abdo, Mohammed S. Abdeljawad, Thabet Shah, Kamal Jarad, Fahd Heliyon Research Article This article is fundamentally concerned with deriving the solution formula, existence, and uniqueness of solutions of two types of Cauchy problems for impulsive fractional differential equations involving Atangana-Baleanu-Caputo (ABC) fractional derivative which possesses nonsingular Mittag-Leffler kernel. Our investigation is based on nonlinear functional analysis and some fixed point techniques. Besides, some examples are given delineated to illustrate the effectiveness of our outcome. Elsevier 2020-10-02 /pmc/articles/PMC7549066/ /pubmed/33072909 http://dx.doi.org/10.1016/j.heliyon.2020.e05109 Text en © 2020 Published by Elsevier Ltd. http://creativecommons.org/licenses/by-nc-nd/4.0/ This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Research Article
Abdo, Mohammed S.
Abdeljawad, Thabet
Shah, Kamal
Jarad, Fahd
Study of impulsive problems under Mittag-Leffler power law
title Study of impulsive problems under Mittag-Leffler power law
title_full Study of impulsive problems under Mittag-Leffler power law
title_fullStr Study of impulsive problems under Mittag-Leffler power law
title_full_unstemmed Study of impulsive problems under Mittag-Leffler power law
title_short Study of impulsive problems under Mittag-Leffler power law
title_sort study of impulsive problems under mittag-leffler power law
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7549066/
https://www.ncbi.nlm.nih.gov/pubmed/33072909
http://dx.doi.org/10.1016/j.heliyon.2020.e05109
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