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A New Neumann Series Method for Solving a Family of Local Fractional Fredholm and Volterra Integral Equations

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Date

2013

Journal Title

Journal ISSN

Volume Title

Publisher

Hindawi Ltd

Open Access Color

GOLD

Green Open Access

No

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Publicly Funded

No
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%

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Abstract

We propose a new Neumann series method to solve a family of local fractional Fredholm and Volterra integral equations. The integral operator, which is used in our investigation, is of the local fractional integral operator type. Two illustrative examples show the accuracy and the reliability of the obtained results.

Description

Yang, Xiao-Jun/0000-0003-0009-4599

Keywords

Volterra integral equations, Theoretical approximation of solutions to integral equations, Fredholm integral equations, Fractional ordinary differential equations, Numerical methods for integral equations

Fields of Science

0101 mathematics, 01 natural sciences

Citation

Ma, Xiao-Jing...et al. (2018). "A New Neumann Series Method for Solving a Family of Local Fractional Fredholm and Volterra Integral Equations", Mathematical Problems In Engineering, (2018)

WoS Q

Scopus Q

Q2
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OpenCitations Citation Count
13

Source

Mathematical Problems in Engineering

Volume

2013

Issue

Start Page

1

End Page

6
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Citations

CrossRef : 8

Scopus : 27

Captures

Mendeley Readers : 4

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3.221287

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