Fractional calculus is a field of applied mathematics which deals with derivatives and
integrals of arbitrary orders. The fractional calculus has gained considerable importance …

Fractional calculus can be considered as rapidly developing research area widening limits
of traditional computing. Current study is focused on development of numerical methods for …

In this paper, we present a computational method for solving a class of fractional partial
differential equations which is based on Haar wavelets operational matrix of fractional order …

The main focus of the book is to implement wavelet based transform methods for solving
problems of fractional order partial differential equations arising in modelling real physical …

The subject of fractional calculus has gained considerable popularity and importance during
the past three decades or so, mainly due to its demonstrated applications in numerous …

In this study, we present two highly effective approaches aimed at solving linear systems of
equations, specifically focusing on the Fredholm and Volterra equations in fractional integro …

In this paper, we define a new fractional function based on the Bernoulli wavelet to obtain a
solution for systems of fractional differential equations (FDEs). The fractional derivative in …

Decades ago, fractional calculus arose to generalize ordinary derivation and integration,
and then became a means of modeling and interpreting many phenomena in various fields …

Haar wavelet collocation method is applied for the numerical solution of fractional partial
differential equations. The proposed method is first applied to one‐dimensional fractional …

In this article, we reviewed some of the widely used fractional operators and wavelets,
together with their important applications that appear in physics, biology, engineering, and …