Published in
Elsevier, Communications in Nonlinear Science and Numerical Simulation, 1-3(24), p. 153-158, 2015
DOI: 10.1016/j.cnsns.2014.12.014
Links
Tools
Successive approximation method for Caputo q-fractional IVPs
Full text: Download
Abstract
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.