Approximate Solution to Fractional Order Models Using a New Fractional Analytical Scheme

In the present work, a new fractional analytical scheme (NFAS) is developed to obtain approximate results of fourth-order parabolic partial differential equations (FPDEs). The derivatives are considered in Caputo sense. this scheme, we show that Taylor series destructs recurrence relation and minimizes heavy computational work. This approach presents sense convergent series. addition, provide convergence theorem shows authenticity scheme. proposed strategy very simple straightforward for obtaining solution models. We take some problems orders robustness effectiveness significance NFAS also shown by graphical tabular expressions.