Generalized Linear Differential Systems

On Solving Linear Diophantine Systems Using Generalized Rosser's Algorithm

Exact and numerical solutions of linear and non-linear systems of fractional partial differential equations

The present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. The proposed scheme is based on Laplace transform and new homotopy perturbation methods. The fractional derivatives are considered in Caputo sense. To illustrate the ability and reliability of the method some examples are provided. The results ob...

On Lyapunov Stability of a Class of Linear Systems of Generalized Ordinary Differential Equations and Linear Impulsive Systems

Analogous results are given, for example, in [1], [2] for systems of linear ordinary differential equations. We use the following notation and definitions. R =]−∞,+∞[, [a, b] (a, b ∈ R) is a closed interval from R, [t] is the integral part of t ∈ R. C is the space of all complex numbers. R (C) is the set of all real (complex) n×m matrices X = (xij ) n,m i,j=1. If X ∈ Cn×n, then X−1, ln X, det X...

on solving linear diophantine systems using generalized rosser's algorithm

Second order linear differential equations with generalized trapezoidal intuitionistic Fuzzy boundary value

In this paper the solution of a second order linear differential equations with intuitionistic fuzzy boundary value is described. It is discussed for two different cases: coefficient is positive crisp number and coefficient is negative crisp number. Here fuzzy numbers are taken as generalized trapezoidal intutionistic fuzzy numbers (GTrIFNs). Further a numerical example is illustrated.