Document Details
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Document Type |
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Article In Journal |
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Document Title |
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New existence results for nonlinear fractional differential equations with three-point integral boundary conditions New existence results for nonlinear fractional differential equations with three-point integral boundary conditions |
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Subject |
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Mathematics |
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Document Language |
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English |
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Abstract |
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This paper studies a boundary value problem of nonlinear fractional differential equations of order q ∈ (1, 2] with three-point integral boundary conditions. Some new existence and uniqueness results are obtained by using standard fixed point theorems and Leray-Schauder degree theory. Our results are new in the sense that the nonlocal parameter in three-point integral boundary conditions appears in the integral part of the conditions in contrast to the available literature on three-point boundary value problems which deals with the three-point boundary conditions restrictions on the solution or gradient of the solution of the problem. Some illustrative examples are also discussed. |
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ISSN |
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1687-1839 |
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Journal Name |
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Advances in Difference Equations |
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Volume |
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2011 |
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Issue Number |
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1 |
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Publishing Year |
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1432 AH
2011 AD |
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Article Type |
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Article |
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Added Date |
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Wednesday, February 15, 2012 |
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Researchers
| بشير أحمد | Ahmad, Bashir | Researcher | Doctorate | bashir_qau@yahoo.com |
| SotirisK K Ntouyas | Ntouyas, SotirisK K | Researcher | Doctorate | sntouyas@uoi.gr |
| أحمد الصاعدي | Alsaedi, Ahmed | Researcher | Doctorate | aalsaedi@hotmail.com |
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