General Solution of Linear Fractional Neutral Differential Difference Equations

الملخص EN

This paper is concerned with the general solution of linear fractional neutral differential difference equations.

The exponential estimates of the solution and the variation of constant formula for linear fractional neutral differential difference equations are derived by using the Gronwall integral inequality and the Laplace transform method, respectively.

The obtained results extend the corresponding ones of integer order linear ordinary differential equations and delay differential equations.