Error analysis for numerical solution of fractional differential equation by Haar wavelets method

In this paper, an exact upper bound is presented through the error analysis to solve the numerical solution of fractional differential equation with variable coefficient. The fractional differential equation is solved by using Haar wavelets. From the exact upper bound, we can draw a conclusion easily that the method is convergent. Finally, we also give some numerical examples to demonstrate the validity and applicability of the method.

► Fractional differential equations were found that various, especially interdisciplinary applications can be elegantly modeled with the help of the fractional derivatives.
► Wavelet is new to us, we can apply it to everywhere. Especially we solve the Fractional differential equations.
► In this paper, we combine Fractional differential equation with Haar wavelets. An exact upper bound is obtained through the error analysis
► The exact upper which we came up with in this article was very effective and practical.