Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions

We study a boundary value problem for the system of nonlinear impulsive fractional differential equations of order α (0 < α ≤ 1) involving the two-point and integral boundary conditions. Some new results on existence and uniqueness of a solution are established by using fixed point theorems. Some...

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Detalles Bibliográficos
Autores principales: Mardanov, M. J., Mahmudov, N. I., Sharifov, Y. A.
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/PMC3980930/
https://www.ncbi.nlm.nih.gov/pubmed/24782675
http://dx.doi.org/10.1155/2014/918730
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author Mardanov, M. J.
Mahmudov, N. I.
Sharifov, Y. A.
author_facet Mardanov, M. J.
Mahmudov, N. I.
Sharifov, Y. A.
author_sort Mardanov, M. J.
collection PubMed
description We study a boundary value problem for the system of nonlinear impulsive fractional differential equations of order α (0 < α ≤ 1) involving the two-point and integral boundary conditions. Some new results on existence and uniqueness of a solution are established by using fixed point theorems. Some illustrative examples are also presented. We extend previous results even in the integer case α = 1.
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spelling pubmed-39809302014-04-29 Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions Mardanov, M. J. Mahmudov, N. I. Sharifov, Y. A. ScientificWorldJournal Research Article We study a boundary value problem for the system of nonlinear impulsive fractional differential equations of order α (0 < α ≤ 1) involving the two-point and integral boundary conditions. Some new results on existence and uniqueness of a solution are established by using fixed point theorems. Some illustrative examples are also presented. We extend previous results even in the integer case α = 1. Hindawi Publishing Corporation 2014-03-23 /pmc/articles/PMC3980930/ /pubmed/24782675 http://dx.doi.org/10.1155/2014/918730 Text en Copyright © 2014 M. J. Mardanov et al. 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
Mardanov, M. J.
Mahmudov, N. I.
Sharifov, Y. A.
Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions
title Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions
title_full Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions
title_fullStr Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions
title_full_unstemmed Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions
title_short Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions
title_sort existence and uniqueness theorems for impulsive fractional differential equations with the two-point and integral boundary conditions
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3980930/
https://www.ncbi.nlm.nih.gov/pubmed/24782675
http://dx.doi.org/10.1155/2014/918730
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