Three-Point Boundary Value Problems for Conformable Fractional Differential Equations

We study a fractional differential equation using a recent novel concept of fractional derivative with initial and three-point boundary conditions. We first obtain Green's function for the linear problem and then we study the nonlinear differential equation.

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Bibliographic Details
Main Authors: H. Batarfi, Jorge Losada, Juan J. Nieto, W. Shammakh
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/706383
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author H. Batarfi
Jorge Losada
Juan J. Nieto
W. Shammakh
author_facet H. Batarfi
Jorge Losada
Juan J. Nieto
W. Shammakh
author_sort H. Batarfi
collection DOAJ
description We study a fractional differential equation using a recent novel concept of fractional derivative with initial and three-point boundary conditions. We first obtain Green's function for the linear problem and then we study the nonlinear differential equation.
format Article
id doaj-art-17042844146943a2a5bd979c40f15f77
institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2015-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-17042844146943a2a5bd979c40f15f772025-02-03T06:42:13ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/706383706383Three-Point Boundary Value Problems for Conformable Fractional Differential EquationsH. Batarfi0Jorge Losada1Juan J. Nieto2W. Shammakh3Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartamento de Análise Matemática, Facultade de Matemáticas, Universidade de Santiago de Compostela, 15782 Santiago de Compostela, SpainFaculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaFaculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe study a fractional differential equation using a recent novel concept of fractional derivative with initial and three-point boundary conditions. We first obtain Green's function for the linear problem and then we study the nonlinear differential equation.http://dx.doi.org/10.1155/2015/706383
spellingShingle H. Batarfi
Jorge Losada
Juan J. Nieto
W. Shammakh
Three-Point Boundary Value Problems for Conformable Fractional Differential Equations
Journal of Function Spaces
title Three-Point Boundary Value Problems for Conformable Fractional Differential Equations
title_full Three-Point Boundary Value Problems for Conformable Fractional Differential Equations
title_fullStr Three-Point Boundary Value Problems for Conformable Fractional Differential Equations
title_full_unstemmed Three-Point Boundary Value Problems for Conformable Fractional Differential Equations
title_short Three-Point Boundary Value Problems for Conformable Fractional Differential Equations
title_sort three point boundary value problems for conformable fractional differential equations
url http://dx.doi.org/10.1155/2015/706383
work_keys_str_mv AT hbatarfi threepointboundaryvalueproblemsforconformablefractionaldifferentialequations
AT jorgelosada threepointboundaryvalueproblemsforconformablefractionaldifferentialequations
AT juanjnieto threepointboundaryvalueproblemsforconformablefractionaldifferentialequations
AT wshammakh threepointboundaryvalueproblemsforconformablefractionaldifferentialequations