Bernoulli wavelet method for numerical solution of anomalous infiltration and diffusion modeling by nonlinear fractional differential equations of variable order

In this paper, generalized fractional-order Bernoulli wavelet functions based on the wavelets are constructed to obtain numerical solution of problems anomalous infiltration and diffusion modeling by a class nonlinear fractional differential equations with variable order. The idea is use operational matrices integration. Firstly, constructed. Secondly, integration derived utilize convert (FDE) into system algebraic equations. Finally, some examples presented demonstrate validity, applicability accuracy proposed method.