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A Generalized Fractional Power Series for Solving a Class of Nonlinear Fractional Integro-Differential Equation
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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
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Subject: Computer Science and Mathematics - Applied Mathematics
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
Submitted:
24 September 2018
Posted:
25 September 2018
You are already at the latest version
Alerts
This version is not peer-reviewed
Submitted:
24 September 2018
Posted:
25 September 2018
You are already at the latest version
Alerts
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:
Subject: Computer Science and Mathematics - Applied Mathematics
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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