A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions
© 2015, Suantai et al.; licensee Springer. In this paper, we investigate the existence and the uniqueness of solutions for coupled and uncoupled systems of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions. The existence and the uniqueness of the solut...
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2015
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th-cmuir.6653943832-389452015-06-16T07:54:39Z A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions Suantai S. Ntouyas S. Ntouyas S. Asawasamrit S. Tariboon J. Applied Mathematics Algebra and Number Theory Analysis © 2015, Suantai et al.; licensee Springer. In this paper, we investigate the existence and the uniqueness of solutions for coupled and uncoupled systems of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions. The existence and the uniqueness of the solutions are established by using the Banach contraction principle, while the existence of solutions is derived by applying Leray-Schauder’s alternative. Examples illustrating our results are also presented. 2015-06-16T07:54:39Z 2015-06-16T07:54:39Z 2015-12-01 Article 16871839 2-s2.0-84928783147 10.1186/s13662-015-0462-2 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84928783147&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38945 Springer Publishing Company |
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Chiang Mai University |
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Chiang Mai University Library |
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Thailand |
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CMU Intellectual Repository |
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Applied Mathematics Algebra and Number Theory Analysis |
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Applied Mathematics Algebra and Number Theory Analysis Suantai S. Ntouyas S. Ntouyas S. Asawasamrit S. Tariboon J. A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions |
| description |
© 2015, Suantai et al.; licensee Springer. In this paper, we investigate the existence and the uniqueness of solutions for coupled and uncoupled systems of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions. The existence and the uniqueness of the solutions are established by using the Banach contraction principle, while the existence of solutions is derived by applying Leray-Schauder’s alternative. Examples illustrating our results are also presented. |
| format |
Article |
| author |
Suantai S. Ntouyas S. Ntouyas S. Asawasamrit S. Tariboon J. |
| author_facet |
Suantai S. Ntouyas S. Ntouyas S. Asawasamrit S. Tariboon J. |
| author_sort |
Suantai S. |
| title |
A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions |
| title_short |
A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions |
| title_full |
A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions |
| title_fullStr |
A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions |
| title_full_unstemmed |
A coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions |
| title_sort |
coupled system of fractional q-integro-difference equations with nonlocal fractional q-integral boundary conditions |
| publisher |
Springer Publishing Company |
| publishDate |
2015 |
| url |
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84928783147&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38945 |
| _version_ |
1681421565456023552 |