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A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation
Version 1
: Received: 24 September 2018 / Approved: 25 September 2018 / Online: 25 September 2018 (05:06:12 CEST)
How to cite: Thanompolkrang, S.; Poltem, D. A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation. Preprints 2018, 2018090476 (doi: 10.20944/preprints201809.0476.v1). Thanompolkrang, S.; Poltem, D. A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation. Preprints 2018, 2018090476 (doi: 10.20944/preprints201809.0476.v1).
Abstract
In this paper, we investigate an analytical solution of a class of nonlinear fractional integro-differential equation base on a generalized fractional power series expansion. The fractional derivatives are described in the conformable's type. The new approach is a modified form of the well-known Taylor series expansion. The illustrative examples are presented to demonstrate the accuracy and effectiveness of the proposed method
Keywords
fractional power series; integro-differential equations; conformable derivative
Subject
MATHEMATICS & COMPUTER SCIENCE, Applied Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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