Existence results for Caputo type fractional differential equations with four-point nonlocal fractional integral boundary conditions
This paper presents some existence and uniqueness results for a boundary value problem of fractional differential equations of order $\alpha \in (1,2]$ with four-point nonlocal fractional integral boundary conditions. Our results are based on some standard tools of fixed point theory and nonlinear...
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| Format: | Article |
| Language: | English |
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University of Szeged
2012-11-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1693 |
| _version_ | 1827951336898953216 |
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| author | Bashir Ahmad Ahmed Alsaedi Afrah Assolami |
| author_facet | Bashir Ahmad Ahmed Alsaedi Afrah Assolami |
| author_sort | Bashir Ahmad |
| collection | DOAJ |
| description | This paper presents some existence and uniqueness results for a boundary value problem of fractional differential equations of order $\alpha \in (1,2]$ with four-point nonlocal fractional integral boundary conditions. Our results are based on some standard tools of fixed point theory and nonlinear alternative of Leray-Schauder type. Some illustrative examples are also discussed. |
| first_indexed | 2024-04-09T13:40:11Z |
| format | Article |
| id | doaj.art-21a5512161104e3ab040a9d4558786c1 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:11Z |
| publishDate | 2012-11-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-21a5512161104e3ab040a9d4558786c12023-05-09T07:53:02ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752012-11-0120129311110.14232/ejqtde.2012.1.931693Existence results for Caputo type fractional differential equations with four-point nonlocal fractional integral boundary conditionsBashir Ahmad0Ahmed Alsaedi1Afrah Assolami2King Abdulaziz University, Jeddah, Saudi ArabiaKing Abdulaziz University, Jeddah, Saudi ArabiaKing Abdulaziz University, Jeddah, Saudi ArabiaThis paper presents some existence and uniqueness results for a boundary value problem of fractional differential equations of order $\alpha \in (1,2]$ with four-point nonlocal fractional integral boundary conditions. Our results are based on some standard tools of fixed point theory and nonlinear alternative of Leray-Schauder type. Some illustrative examples are also discussed.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1693fractional differential equationsnonlocal integral boundary conditionsexistencefixed point theorems |
| spellingShingle | Bashir Ahmad Ahmed Alsaedi Afrah Assolami Existence results for Caputo type fractional differential equations with four-point nonlocal fractional integral boundary conditions Electronic Journal of Qualitative Theory of Differential Equations fractional differential equations nonlocal integral boundary conditions existence fixed point theorems |
| title | Existence results for Caputo type fractional differential equations with four-point nonlocal fractional integral boundary conditions |
| title_full | Existence results for Caputo type fractional differential equations with four-point nonlocal fractional integral boundary conditions |
| title_fullStr | Existence results for Caputo type fractional differential equations with four-point nonlocal fractional integral boundary conditions |
| title_full_unstemmed | Existence results for Caputo type fractional differential equations with four-point nonlocal fractional integral boundary conditions |
| title_short | Existence results for Caputo type fractional differential equations with four-point nonlocal fractional integral boundary conditions |
| title_sort | existence results for caputo type fractional differential equations with four point nonlocal fractional integral boundary conditions |
| topic | fractional differential equations nonlocal integral boundary conditions existence fixed point theorems |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1693 |
| work_keys_str_mv | AT bashirahmad existenceresultsforcaputotypefractionaldifferentialequationswithfourpointnonlocalfractionalintegralboundaryconditions AT ahmedalsaedi existenceresultsforcaputotypefractionaldifferentialequationswithfourpointnonlocalfractionalintegralboundaryconditions AT afrahassolami existenceresultsforcaputotypefractionaldifferentialequationswithfourpointnonlocalfractionalintegralboundaryconditions |