in this article, we survey the asymptotic stability analysis of fractional differential systems with the prabhakar fractional derivatives. we present the stability regions for these types of fractional differential systems. a brief comparison with the stability aspects of fractional differential systems in the sense of riemann-liouville fractional derivatives is also given.

in this paper, boundary value problems of fractional order are converted into an optimal control problems. then an approximate solution is constructed from translations and dilations of a b-spline function such that the exact boundary conditions are satisfied. the fractional differential operators are taken in the riemann-liouville and caputo sense. several example are given and the optimal err...

The purpose of this article is to get mathematicians interested in studying a number of partial differential equations (PDEs) that naturally arise in macroeconomics. These PDEs come from models designed to study some of the most important questions in economics. At the same time, they are highly interesting for mathematicians because their structure is often quite difficult. We present a number...

Parallel discrete event simulation (PDES) is a basic approach for evaluation of the complex systems. A PDES attempts to speed up the execution of a simulation by distributing the simulation’s workload between multiple processors. A network of workstations is a widely available platform for PDES. The present article provides a comparative analysis of operational distributed simulation models bas...

in this manuscript a new method is introduced for solving fractional differential equations. the fractional derivative is described in the caputo sense. the main idea is to use fractional-order legendre wavelets and operational matrix of fractional-order integration. first the fractional-order legendre wavelets (flws) are presented. then a family of piecewise functions is proposed, based on whi...

In this research work, let’s focus on the construction of numerical scheme based radial basis functions finite difference (RBF-FD) method combined with Laplace transform for solution fractional order dispersive wave equations. The is then applied to examine eventual periodicity proposed model subject periodic boundary conditions. implementation technique high and integer type nonlinear partial ...

Parallel discrete event simulation (PDES) is a basic approach for evaluation of complex systems. A PDES attempts to speed up the execution of a simulation by distributing the simulation’s workload between multiple processors. A network of workstations is a widely available platform for PDES. The present article provides a comparative analysis of operational distributed simulation models based o...

We construct, for any given ` = 1 2 + N0, second-order nonlinear partial differential equations (PDEs) which are invariant under the transformations generated by the centrally extended conformal Galilei algebras. This is done for a particular realization of the algebras obtained by coset construction and we employ the standard Lie point symmetry technique for the construction of PDEs. It is obs...