## What is/are Composite Fractional?

Composite Fractional - The comparative analysis between exact and numerical solutions reveals the innovative features of the composite fractional derivative in the discussed model.^{[1]}The study of Bloch equation with composite fractional derivative reveals the new features of Bloch equation.

^{[2]}Our aim in this article is to solve the composite fractional relaxation differential equation by using different definitions of the non-integer order derivative operator D t α $D_{t}^{\alpha }$ , more specifically we employ the definitions of Caputo, Caputo–Fabrizio and Atangana–Baleanu of non-integer order derivative operators.

^{[3]}In the present paper, we first establish a generalized q-Taylor’s formula involving composite fractional q-derivative.

^{[4]}In this paper a composite fractional fractal zone plate (CFFZP) based on the corresponding fractional fractal zone plate is proposed to enhance the intensity of the arbitrarily designed main focus.

^{[5]}The extent of model compatibility was evaluated through six non-linear error functions represented as composite fractional error, residual root mean square error, Marquardt's percent standard deviation, average relative error, average percentage error and Chi-square error.

^{[6]}We examine a problem for mixed equation with composite fractional derivative and concentrated time deviation, functional delay and advance with respect to spatial variable.

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## composite fractional derivative

The comparative analysis between exact and numerical solutions reveals the innovative features of the composite fractional derivative in the discussed model.^{[1]}The study of Bloch equation with composite fractional derivative reveals the new features of Bloch equation.

^{[2]}We examine a problem for mixed equation with composite fractional derivative and concentrated time deviation, functional delay and advance with respect to spatial variable.

^{[3]}