Nonlinear $q$-fractional differential equations with nonlocal and sub-strip type boundary conditions
This paper is concerned with new boundary value problems of nonlinear $q$-fractional differential equations with nonlocal and sub-strip type boundary conditions. Our results are new in the present setting and rely on the contraction mapping principle and a fixed point theorem due to O'Regan. So...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2014-06-01
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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=2910 |
| _version_ | 1827951262876827648 |
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| author | Bashir Ahmad Sotiris Ntouyas Ahmed Alsaedi Hana Al-Hutami |
| author_facet | Bashir Ahmad Sotiris Ntouyas Ahmed Alsaedi Hana Al-Hutami |
| author_sort | Bashir Ahmad |
| collection | DOAJ |
| description | This paper is concerned with new boundary value problems of nonlinear $q$-fractional differential equations with nonlocal and sub-strip type boundary conditions. Our results are new in the present setting and rely on the contraction mapping principle and a fixed point theorem due to O'Regan. Some illustrative examples are also presented. |
| first_indexed | 2024-04-09T13:39:02Z |
| format | Article |
| id | doaj.art-0aad92e4ce9e4695ad7c596bac30c607 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:39:02Z |
| publishDate | 2014-06-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-0aad92e4ce9e4695ad7c596bac30c6072023-05-09T07:53:04ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752014-06-0120142611210.14232/ejqtde.2014.1.262910Nonlinear $q$-fractional differential equations with nonlocal and sub-strip type boundary conditionsBashir Ahmad0Sotiris Ntouyas1Ahmed Alsaedi2Hana Al-Hutami3King Abdulaziz University, Jeddah, Saudi ArabiaUniversity of Ioannina, Ioannina, GreeceKing Abdulaziz University, Jeddah, Saudi ArabiaKing Abdulaziz University, Jeddah, Saudi ArabiaThis paper is concerned with new boundary value problems of nonlinear $q$-fractional differential equations with nonlocal and sub-strip type boundary conditions. Our results are new in the present setting and rely on the contraction mapping principle and a fixed point theorem due to O'Regan. Some illustrative examples are also presented.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2910fractional $q$-difference equationsnonlocalintegralboundary conditionsexistencefixed point |
| spellingShingle | Bashir Ahmad Sotiris Ntouyas Ahmed Alsaedi Hana Al-Hutami Nonlinear $q$-fractional differential equations with nonlocal and sub-strip type boundary conditions Electronic Journal of Qualitative Theory of Differential Equations fractional $q$-difference equations nonlocal integral boundary conditions existence fixed point |
| title | Nonlinear $q$-fractional differential equations with nonlocal and sub-strip type boundary conditions |
| title_full | Nonlinear $q$-fractional differential equations with nonlocal and sub-strip type boundary conditions |
| title_fullStr | Nonlinear $q$-fractional differential equations with nonlocal and sub-strip type boundary conditions |
| title_full_unstemmed | Nonlinear $q$-fractional differential equations with nonlocal and sub-strip type boundary conditions |
| title_short | Nonlinear $q$-fractional differential equations with nonlocal and sub-strip type boundary conditions |
| title_sort | nonlinear q fractional differential equations with nonlocal and sub strip type boundary conditions |
| topic | fractional $q$-difference equations nonlocal integral boundary conditions existence fixed point |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=2910 |
| work_keys_str_mv | AT bashirahmad nonlinearqfractionaldifferentialequationswithnonlocalandsubstriptypeboundaryconditions AT sotirisntouyas nonlinearqfractionaldifferentialequationswithnonlocalandsubstriptypeboundaryconditions AT ahmedalsaedi nonlinearqfractionaldifferentialequationswithnonlocalandsubstriptypeboundaryconditions AT hanaalhutami nonlinearqfractionaldifferentialequationswithnonlocalandsubstriptypeboundaryconditions |