Operational matrix method for solving fractional weakly singular 2D partial Volterra integral equations

Journal of Computational and Applied Mathematics(2023)

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摘要
The main objective of the present study is to develop the operational matrix for fractional integration. In order to find the numerical solution of non-linear fractional weakly singular two-dimensional partial Volterra integral equations, the operational matrix of the fractional integration of triangular functions was used. By presenting the findings in the form of figures and tables, a deeper investigation and explanation of the proposed approach was provided. In addition, the numerical results show the high reliability and accuracy of the proposed method.
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关键词
Fractional calculus,Operational matrix,Two-dimensional triangular functions,Weakly singular two-dimensional integral equations,Partial Volterra integral equations
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