“God made the integers; all else is the work of man” 1. For centuries, the ancients were
satisfied with using natural numbers called simply “numbers”. What we call irrational …

In this article, two numerical techniques, namely, the homotopy perturbation and the matrix
approach methods have been proposed and implemented to obtain an approximate solution …

This paper presents a series of new results in finite and infinite-memory modeling of discrete-
time fractional differences. The introduced normalized finite fractional difference is shown to …

Two numerical methods based on Laguerre and Touchard polynomials are described in this
paper to solve both the fractional integral equations of the first kind and the second kind …

On Fractional Schrödinger Equation Page 1 COMPUTATIONAL METHODS IN SCIENCE AND
TECHNOLOGY 16(2), 191-194 (2010) I. INTRODUCTION The concept of fractional calculus …

Two numerical techniques, namely, Haar Wavelet and the product integration methods,
have been employed to give an approximate solution of the fractional Volterra integral …

In this paper, we deal with a system of integral algebraic equations of the Hessenberg type.
Using a new index definition, the existence and uniqueness of a solution to this system are …

Locally One-Dimensional Schemes for the Diffusion Equation with a Fractional Time Derivative in
an Arbitrary Domain Page 1 106 ISSN 0965-5425, Computational Mathematics and …

In this paper, a collocation method based on the orthogonal polynomials is presented to
solve the fractional integral equations. Six numerical examples are given to illustrate the …

Рассмотрены локально-одномерные разностные схемы для уравнения диффузии
дробного порядка с переменными коэффициентами в области сложной формы …