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Abstract
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For the rst time, we establish a new procedure by using the conformable Shehu transform (CST) and an iteration method for
solving fractional-order Cauchy reaction-diusion equations (CRDEs) in the sense of conformable derivative (CD). We call this
recommended method the conformable Shehu transform iterative method (CSTIM). To evaluate the ecacy and consistency of
CSTIM for conformable partial dierential equations (PDEs), the absolute errors of four CRDEs are reviewed graphically and
numerically. Furthermore, graphical signicances are correspondingly predicted for several values of fractional-order derivatives.
e results and examples establish that our new method is unpretentious, accurate, valid, and capable. CSTIM does not necessarily
use He’s polynomials and Adomian polynomials when solving nonlinear problems, so it has a strong advantage over the
homotopy analysis and Adomian decomposition methods. e convergence and absolute error analysis of the series solutions is
also oered.
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