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Numerical scheme of fractional differential-integral equations in three-dimensional spaces via block-pulse functions
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  • Wei Shi,
  • Qingxue Huang,
  • Jiaquan Xie,
  • Tao Wang
Wei Shi
Taiyuan University of Technology

Corresponding Author:[email protected]

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Qingxue Huang
Taiyuan University of Technology
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Jiaquan Xie
Taiyuan University of Technology
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Tao Wang
Taiyuan University of Technology
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Abstract

In the current study, an effective numerical technique is presented for solving a class of three-dimensional fractional differential-integral equations via the three-dimensional block-pulse functions. The Caputo fractional derivative is applied to deal with the fractional derivative terms, and the differential operational matrices of 3D-BPFs are utilized to transform the original system. In the end of the paper, two numerical examples are presented to verify the proposed method.