Successive approximation method for Caputo q-fractional IVPs

Document Type

Article

Publication Date

1-1-2015

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. (C) 2014 Elsevier B.V. All rights reserved.

Keywords

Caputo q-fractional derivation, Successive approximation method, Caputo q-fractional integral, q-Mittag-Leffler function

Publication Title

Communications in Nonlinear Science and Numerical Simulation

Volume

24

Issue

1-3

Publisher

Elsevier

Publisher Location

PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS

This document is currently not available here.

Share

COinS