Abstract: This paper aims at estimating the Caputo fractional derivatives for a class of signals satisfying a linear differential equation. For this purpose, an estimator for the initial conditions of ...

A tersely annotated collection of references on types of approaches used in currently available methods to solve the general linear, first-order ordinary differential equation is presented, and ...

Dimsym is a program primarily for the determination of symmetries of differential equations. It also can be used to compute symmetries of distributions of vector fields or differential forms on finite ...

It’s well known that the solution of equations always uses complicated methods. In this paper the first integral method is used to find the actual solution of equations in a simple way, rather than ...

Abstract: This contribution introduces linear differential–algebraic equation (DAE) systems and provides the explicit construction steps of spectral projectors for DAEs with indexes 1 or 2.

Department of Mathematics, AlQuds Open University, Ramallah, Palestine. In 1940 Ulam posed the basic problem of the stability of functional equations: Give conditions in order for a linear mapping ...

Carpathian Journal of Mathematics, Vol. 30, No. 3, Special issue including selected papers presented to ICAM9 (9th INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS Dedicated to Professor Emeritus ...

The paper aims to utilize an integral transform, specifically the Khalouta transform, an abstraction of various integral transforms, to address fractional differential equations using both ...