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Abstract
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In this article, we solve systems of fractional Volterra integro-differential equations in the sense of the Caputo
fractional derivative, using cubic Hermite spline functions.
We first construct the operational matrix for the
fractional derivative of the cubic Hermite spline functions. Then, using this matrix and key properties of these
functions, we transform systems of fractional Volterra integro-differential equations into a system of algebraic
equations, which can be solved numerically to obtain approximate solutions. Numerous examples show that the
results obtained by this method align closely with the results presented by some previous works.
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