In the present work, a numerical technique for solving a general form of nonlinear fractional
order integro-differential equations (GNFIDEs) with linear functional arguments using …

In the current study, new functions called generalized fractional-order Bernoulli wavelet
functions (GFBWFs) based on the Bernoulli wavelets are defined to obtain the numerical …

Fractional differential equations are solved using the Legendre wavelets. An operational
matrix of fractional order integration is derived and is utilized to reduce the fractional …

In this paper, we first construct the second kind Chebyshev wavelet. Then we present a
computational method based on the second kind Chebyshev wavelet for solving a class of …

In this review paper, we are mainly concerned with the numerical methods for solving
fractional equations, which are divided into the fractional differential equations (FDEs), time …

In this study, a new numerical method for the solution of the linear and nonlinear distributed
fractional differential equations is introduced. The fractional derivative is described in the …

Two new algorithms based on Haar wavelets are proposed. The first algorithm is proposed
for the numerical solution of nonlinear Fredholm integral equations of the second kind, and …

In this paper, the second kind Chebyshev wavelet method is presented for solving linear and
nonlinear fractional differential equations. We first construct the second kind Chebyshev …

The review is devoted to using the fractional integro-differential calculus for description of
the dynamics of various systems and control processes. Consideration was given to the …

A numerical scheme, based on the Haar wavelet operational matrices of integration for
solving linear two-point and multi-point boundary value problems for fractional differential …