A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications

We discuss the existence and uniqueness of solutions for initial value problems of nonlinear singular multiterm impulsive Caputo type fractional differential equations on the half line. Our study includes the cases for a single base point fractional differential equation as well as multiple base poi...

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Detalles Bibliográficos
Autores principales: Liu, Yuji, Ahmad, Bashir
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3918711/
https://www.ncbi.nlm.nih.gov/pubmed/24578623
http://dx.doi.org/10.1155/2014/194346
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author Liu, Yuji
Ahmad, Bashir
author_facet Liu, Yuji
Ahmad, Bashir
author_sort Liu, Yuji
collection PubMed
description We discuss the existence and uniqueness of solutions for initial value problems of nonlinear singular multiterm impulsive Caputo type fractional differential equations on the half line. Our study includes the cases for a single base point fractional differential equation as well as multiple base points fractional differential equation. The asymptotic behavior of solutions for the problems is also investigated. We demonstrate the utility of our work by applying the main results to fractional-order logistic models.
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spelling pubmed-39187112014-02-26 A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications Liu, Yuji Ahmad, Bashir ScientificWorldJournal Research Article We discuss the existence and uniqueness of solutions for initial value problems of nonlinear singular multiterm impulsive Caputo type fractional differential equations on the half line. Our study includes the cases for a single base point fractional differential equation as well as multiple base points fractional differential equation. The asymptotic behavior of solutions for the problems is also investigated. We demonstrate the utility of our work by applying the main results to fractional-order logistic models. Hindawi Publishing Corporation 2014-01-21 /pmc/articles/PMC3918711/ /pubmed/24578623 http://dx.doi.org/10.1155/2014/194346 Text en Copyright © 2014 Y. Liu and B. Ahmad. https://creativecommons.org/licenses/by/3.0/This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Liu, Yuji
Ahmad, Bashir
A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications
title A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications
title_full A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications
title_fullStr A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications
title_full_unstemmed A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications
title_short A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications
title_sort study of impulsive multiterm fractional differential equations with single and multiple base points and applications
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3918711/
https://www.ncbi.nlm.nih.gov/pubmed/24578623
http://dx.doi.org/10.1155/2014/194346
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