مشخصات پژوهش

For the ƒrst time, we establish a new procedure by using the conformable Shehu transform (CST) and an iteration method for solving fractional-order Cauchy reaction-di‰usion equations (CRDEs) in the sense of conformable derivative (CD). We call this recommended method the conformable Shehu transform iterative method (CSTIM). To evaluate the e‘cacy and consistency of CSTIM for conformable partial di‰erential equations (PDEs), the absolute errors of four CRDEs are reviewed graphically and numerically. Furthermore, graphical signiƒcances 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 o‰ered.