Document Type : Research Paper

**Authors**

Department of Mathematics and Applications, University of Mohaghegh Ardabili, Ardabil, Iran.

**Abstract**

The presented paper investigates a new numerical method based on the characteristics of flatlet oblique multiwavelets for solving fractional Volterra integro-differential equations, in this method, first using the dual bases of the flatlet multiwavelets, the operator matrices are made for the derivative of fractional order and Volterra integral. Then, the fractional Volterra integro-differential equation reduces to a set of algebraic equations which can be easily solved. The error analysis and convergence of the presented method are discussed. Also, numerical examples will indicate the acceptable accuracy of the proposed method, which is compared with the methods used by other researchers.

**Keywords**

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March 2024

Pages 374-391

**Receive Date:**02 June 2023**Revise Date:**14 August 2023**Accept Date:**10 September 2023