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
Descripción
Sumario: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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