It is well known that the response of a linear system enforced by a Gaussian white noise is Markovian. The order of Markovianity is n-1 being n the maximum order of the derivative of the equation ruling the evolution of the system. However when a fractional operator appears, the order of Markovianity of the system becomes infinite. Then the main aim developed in the proposed paper, consists of rewriting the system with fractional term of order r with an "equivalent" one, in which the fractional operator is substituted by two classical differential terms with integer order of derivative int(r) and int(r + 1) (for a real r). In this way the fractional differential equation reverts into a classical differential equation and then the Markoviani...
A complex fractional derivative can be derived by formally extending the integer k in the kth deriva...
In this paper, the Galerkin method is presented to estimate the approximate stationary and non-stati...
In this paper, an approximate semi-analytical approach is developed for determining the first-passag...
It is well known that the response of a linear system enforced by a Gaussian white noise is Markovia...
A method is presented to compute the stochastic response of single-degree-of-freedom (SDOF) structur...
A method is presented to compute the non-stationary response of single-degree-of-freedom structural ...
Fractional-order derivatives appear in various engineering applications including models for viscoel...
A numerical method is presented to compute the response of a viscoelastic Duffing oscillator with f...
This thesis deals with developing Galerkin based solution strategies for several important classes o...
Several dynamic analysis in engineering problems involve structural elements that can be modeled as ...
In this paper an original method is presented to compute the stochastic response of singledegree- of...
In this paper, we investigate the semi-Markovian random walk processes with jumps and delaying scree...
To approximate the fractional integral of order a in (0,1), we use an integral representation based ...
Fluid viscoelastic dampers are of great interest in different fields of engineering. Examples of the...
We propose a generalization of the classical M/M/1 queue process. The resulting model is derived by ...
A complex fractional derivative can be derived by formally extending the integer k in the kth deriva...
In this paper, the Galerkin method is presented to estimate the approximate stationary and non-stati...
In this paper, an approximate semi-analytical approach is developed for determining the first-passag...
It is well known that the response of a linear system enforced by a Gaussian white noise is Markovia...
A method is presented to compute the stochastic response of single-degree-of-freedom (SDOF) structur...
A method is presented to compute the non-stationary response of single-degree-of-freedom structural ...
Fractional-order derivatives appear in various engineering applications including models for viscoel...
A numerical method is presented to compute the response of a viscoelastic Duffing oscillator with f...
This thesis deals with developing Galerkin based solution strategies for several important classes o...
Several dynamic analysis in engineering problems involve structural elements that can be modeled as ...
In this paper an original method is presented to compute the stochastic response of singledegree- of...
In this paper, we investigate the semi-Markovian random walk processes with jumps and delaying scree...
To approximate the fractional integral of order a in (0,1), we use an integral representation based ...
Fluid viscoelastic dampers are of great interest in different fields of engineering. Examples of the...
We propose a generalization of the classical M/M/1 queue process. The resulting model is derived by ...
A complex fractional derivative can be derived by formally extending the integer k in the kth deriva...
In this paper, the Galerkin method is presented to estimate the approximate stationary and non-stati...
In this paper, an approximate semi-analytical approach is developed for determining the first-passag...