Dual exponential polynomials and linear differential equations

Linear differential equations in exponential extensions

Fractional differential equations with Legendre polynomials

A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations

In this paper we introduce a type of fractional-order polynomials based on the classical Chebyshev polynomials of the second kind (FCSs). Also we construct the operational matrix of fractional derivative of order $ gamma $ in the Caputo for FCSs and show that this matrix with the Tau method are utilized to reduce the solution of some fractional-order differential equations.

Illustrative Study on Linear Differential Equations and Matrix Polynomials

The objective of this paper is to study the theoretical analysis of linear differential-algebraic equations (DAEs) of higher order as well as the regularity and singularity of matrix polynomials. Some invariants and condensed forms under appropriate equivalent transformations are established for systems of linear higher-order DAEs with constant and variable coefficients. Inductively, based on c...

Exponential Stability of Linear Delay Impulsive Differential Equations

Corresponding author: Elena Braverman Technion Israel Institute of Technology, Department of Mathematics, 32000, Haifa, Israel e-mail : [email protected] Abstract For an impulsive delay differential equation with bounded delay and bounded coefficients the following result is established. If each solution is bounded on [0,∞) together with its derivative for each bounded right-hand side t...