Abstract

Many researchers have used the numerical methods for the purpose of solving Volterra integral equations. In this research work, we have shown that it is possible to use fuzzy transform method ($$ F\text {-transform} $$) to tackle with the fractional Volterra integral equation. The core idea of the technique of F-transforms is a fuzzy partition of a universe into fuzzy subsets. A function can be associated with a mapping from a set of fuzzy subsets to the set of its thus obtained average values. In numerical method, in order to approximate a function on a particular interval, only a restricted number of points have been employed. However, what makes the $$ F\text {-transform} $$ preferable to other methods is that it makes use of all points in this interval. Thus, a number of clear and specific examples have been enumerated for the purpose of illustrating the simplicity and the efficiency of the suggested method.

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