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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Format: | Article |
Language: | English |
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Wiley
2015-01-01
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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 |