Topology degree results on a G-ABC implicit fractional differential equation under three-point boundary conditions

Shahram Rezapour; Sabri T.M. Thabet; Ava Sh Rafeeq; Imed Kedim; Miguel Vivas-Cortez; Nasser Aghazadeh

doi:10.1371/journal.pone.0300590

Topology degree results on a G-ABC implicit fractional differential equation under three-point boundary conditions

Shahram Rezapour, Sabri T.M. Thabet, Ava Sh Rafeeq, Imed Kedim, Miguel Vivas-Cortez, Nasser Aghazadeh

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

5 Citas (Scopus)

Resumen

This research manuscript aims to study a novel implicit differential equation in the non-singular fractional derivatives sense, namely Atangana-Baleanu-Caputo (ABC) of arbitrary orders belonging to the interval (2, 3] with respect to another positive and increasing function. The major results of the existence and uniqueness are investigated by utilizing the Banach and topology degree theorems. The stability of the Ulam-Hyers (UH) type is analyzed by employing the topics of nonlinear analysis. Finally, two examples are constructed and enhanced with some special cases as well as illustrative graphics for checking the influence of major outcomes.

Idioma original	Inglés
Número de artículo	e0300590
Publicación	PLoS ONE
Volumen	19
N.º	7 July
DOI	https://doi.org/10.1371/journal.pone.0300590
Estado	Publicada - jul. 2024

Nota bibliográfica

Publisher Copyright:
Copyright: © 2024 Rezapour et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Acceder al documento

10.1371/journal.pone.0300590

Otros archivos y enlaces

Enlace a la publicación en Scopus

Citar esto

@article{9ae5fb441421468580a02a782c95148b,

title = "Topology degree results on a G-ABC implicit fractional differential equation under three-point boundary conditions",

abstract = "This research manuscript aims to study a novel implicit differential equation in the non-singular fractional derivatives sense, namely Atangana-Baleanu-Caputo (ABC) of arbitrary orders belonging to the interval (2, 3] with respect to another positive and increasing function. The major results of the existence and uniqueness are investigated by utilizing the Banach and topology degree theorems. The stability of the Ulam-Hyers (UH) type is analyzed by employing the topics of nonlinear analysis. Finally, two examples are constructed and enhanced with some special cases as well as illustrative graphics for checking the influence of major outcomes.",

author = "Shahram Rezapour and Thabet, {Sabri T.M.} and Rafeeq, {Ava Sh} and Imed Kedim and Miguel Vivas-Cortez and Nasser Aghazadeh",

note = "Publisher Copyright: Copyright: {\textcopyright} 2024 Rezapour et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.",

year = "2024",

month = jul,

doi = "10.1371/journal.pone.0300590",

language = "English",

volume = "19",

journal = "PLoS ONE",

issn = "1932-6203",

number = "7 July",

}

TY - JOUR

T1 - Topology degree results on a G-ABC implicit fractional differential equation under three-point boundary conditions

AU - Rezapour, Shahram

AU - Thabet, Sabri T.M.

AU - Rafeeq, Ava Sh

AU - Kedim, Imed

AU - Vivas-Cortez, Miguel

AU - Aghazadeh, Nasser

N1 - Publisher Copyright: Copyright: © 2024 Rezapour et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

PY - 2024/7

Y1 - 2024/7

N2 - This research manuscript aims to study a novel implicit differential equation in the non-singular fractional derivatives sense, namely Atangana-Baleanu-Caputo (ABC) of arbitrary orders belonging to the interval (2, 3] with respect to another positive and increasing function. The major results of the existence and uniqueness are investigated by utilizing the Banach and topology degree theorems. The stability of the Ulam-Hyers (UH) type is analyzed by employing the topics of nonlinear analysis. Finally, two examples are constructed and enhanced with some special cases as well as illustrative graphics for checking the influence of major outcomes.

AB - This research manuscript aims to study a novel implicit differential equation in the non-singular fractional derivatives sense, namely Atangana-Baleanu-Caputo (ABC) of arbitrary orders belonging to the interval (2, 3] with respect to another positive and increasing function. The major results of the existence and uniqueness are investigated by utilizing the Banach and topology degree theorems. The stability of the Ulam-Hyers (UH) type is analyzed by employing the topics of nonlinear analysis. Finally, two examples are constructed and enhanced with some special cases as well as illustrative graphics for checking the influence of major outcomes.

UR - http://www.scopus.com/inward/record.url?scp=85197209051&partnerID=8YFLogxK

U2 - 10.1371/journal.pone.0300590

DO - 10.1371/journal.pone.0300590

M3 - Article

C2 - 38950034

AN - SCOPUS:85197209051

SN - 1932-6203

VL - 19

JO - PLoS ONE

JF - PLoS ONE

IS - 7 July

M1 - e0300590

ER -

Topology degree results on a G-ABC implicit fractional differential equation under three-point boundary conditions

Resumen

Nota bibliográfica

Acceder al documento

Otros archivos y enlaces

Huella

Citar esto