Journal
CHAOS SOLITONS & FRACTALS
Volume 108, Issue -, Pages 107-110Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2018.01.039
Keywords
Fractional power series; Caputo derivative; Fractional integro-differential equations
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The latent potentialities and applications of fractional calculus present a mathematical challenge to establish its theoretical framework. One of these challenges is to have a compact and self-contained fractional power series representation that has a wider application scope and allows studying analytical properties. In this letter, we introduce a new more general form of fractional power series expansion, based on the Caputo sense of fractional derivative, with corresponding convergence property. In order to show the functionality of the proposed expansion, we apply the corresponding iterative fractional power series scheme to solve several fractional (integro-) differential equations. (C) 2018 Elsevier Ltd. All rights reserved.
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