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