### Fractional Order Operational Matrix Method for Solving Two-Dimensional Nonlinear Fractional Volterra Integro-Differential Equations

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**Authors:**A. KHAJEHNASIRI, M. A. KERMANI AND R. EZZATI

**DOI:**10.46793/KgJMat2104.571K

**Abstract:**

This article presents a numerical method for solving nonlinear two-dimensional fractional Volterra integral equation. We derive the Hat basis functions operational matrix of the fractional order integration and use it to solve the two-dimensional fractional Volterra integro-diﬀerential equations. The method is described and illustrated with numerical examples. Also, we give the error analysis.

**Keywords:**

Hat basis functions, operational matrix, error analysis, block pulse function, two-dimensional fractional integral equation.

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