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In this paper we get an algebraic derivative relative to the convolution $(f*g)\left(t\right)={\int }_0^{t}if(t-\psi )g\left(\psi \right)d\psi$ associated to the operator $D^{\delta }$, which is used, together with the corresponding operational calculus, to solve an integral-differential equation. Moreover we show a certain convolution property for the solution of that equation