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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| Main Authors: | , , , |
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| Format: | Article |
| Published: |
Springer Publishing Company
2015
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| Subjects: | |
| Online Access: | http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84928783147&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38945 |
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| Institution: | Chiang Mai University |
| Summary: | © 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. |
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