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. Preprints2018, 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).
Cite as:
Thanompolkrang, S.; Poltem, D. A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation. Preprints2018, 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
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.
Sirunya Thanompolkrang