This book provides efficient and reliable numerical methods for solving fractional calculus
problems. It focuses on numerical techniques for fractional integrals, derivatives, and …

In this paper, a new numerical method for solving fractional differential equations is
presented. The fractional derivative is described in the Caputo sense. The method is based …

Investigation of various wavelet methods, for its capability of analyzing various dynamic
phenomena through waves gained more and more attention in engineering research …

In this paper, we present a numerically stable algorithm based on the Haar wavelet
collocation method (hwcm) for numerical solution of a class of Lane–Emden equation with …

This manuscript deals a numerical technique based on Haar wavelet collocation which is
developed for the approximate solution of some systems of linear and nonlinear fractional …

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 …

The dynamics of COVID-19 is investigated with regard to complex contributions of the
omitted factors. For this purpose, we use a fractional order SEIR model which allows us to …

In this paper, an efficient method for solving the nonlinear Emden–Fowler type boundary
value problems with Dirichlet and Robin–Neumann boundary conditions is introduced. The …

Physical processes with memory and hereditary properties can be best described by
fractional differential equations due to the memory effect of fractional derivatives. For that …

Legendre wavelets and their exact Riemann-Liouville fractional integrals are used to
compute numerical solutions to fractional delay differential equations, by reducing the …