Successive approximation method for Caputo q-fractional IVPs
Recently, Abdeljawad and Baleanu (2011) introduced Caputo q-fractional derivatives and used it to solve Caputo q-fractional initial value problem. For this purpose, they applied successive approximation method to obtain an explicit solution; but did not clarify under which conditions that this metho...
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| Main Authors: | , , |
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| Format: | Article |
| Published: |
Elsevier
2015
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| Subjects: | |
| Online Access: | http://eprints.um.edu.my/13245/ |
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| Summary: | Recently, Abdeljawad and Baleanu (2011) introduced Caputo q-fractional derivatives and used it to solve Caputo q-fractional initial value problem. For this purpose, they applied successive approximation method to obtain an explicit solution; but did not clarify under which conditions that this method will be convergence. In this paper, we propose q-Krasnoselskii-Krein type condition to investigate the convergence of the method. (C) 2014 Elsevier B.V. All rights reserved. |
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