We consider the initial/boundary value problem for a diffusion equation involving multiple
time-fractional derivatives on a bounded convex polyhedral domain. We analyze a space …

In this paper, a new numerical method for solving the distributed fractional differential
equations is presented. The method is based upon hybrid functions approximation. The …

In this paper we apply a high order difference scheme and Galerkin spectral technique for
the numerical solution of multi-term time fractional partial differential equations. The …

In this paper, the random response of a non-linear system comprising frequency dependent
restoring force terms is examined. These terms are accurately modeled in seismic isolation …

In this paper a method for the numerical solution of distributed order FDEs (fractional
differential equations) of a general form is presented. The method applies to both linear and …

Fractional calculus has been broadly used in diverse engineering applications. In this
regard, vibrations of fractional oscillators subject to stochastic loads have attracted …

Viscoelastic dampers, where fractional derivatives are involved, are often considered for use
to mitigate dynamic response of structures. However, it is not an easy task to obtain the …

In the first part of this paper we study the regularity properties of solutions of initial value
problems of linear multi-term fractional differential equations. We then use these results in …

The paper presents mathematical formulation and numerical algorithm for solving non-linear
fractional-order differential equations (FDEs) modeling mechanical systems. The method …

This paper investigates the solitary wave solutions of the two-dimensional regularized long-
wave equation which is arising in the investigation of the Rossby waves in rotating flows and …