Distributed-order fractional calculus (DOFC) is a rapidly emerging branch of the broader
area of fractional calculus that has important and far-reaching applications for the modeling …

Recently, operational matrices were adapted for solving several kinds of fractional
differential equations (FDEs). The use of numerical techniques in conjunction with …

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 study, a new numerical method for the solution of the linear and nonlinear distributed
fractional differential equations is introduced. The fractional derivative is described in the …

In many dynamic processes, the fractional differential operators not only appear as discrete
fractional, but they also possess a continuous nature in a sense that their order is distributed …

In this paper, we derive and analyse a compact difference scheme for a distributed-order
time-fractional diffusion-wave equation. This equation is approximated by a multi-term …

In this paper, a numerical algorithm is presented to obtain approximate solution of
distributed order integro-differential equations. The approximate solution is expressed in the …

In this paper, the two-dimensional distributed order space-fractional diffusion equation on an
irregular convex domain is considered. The finite element method using unstructured mesh …

In this paper, we propose a numerical method for solving distributed-order fractional partial
differential equations (FPDEs). For this method, we first introduce fractional-order …

In the current decade, the meshless methods have been developed for solving partial
differential equations. The meshless methods may be classified in two basic parts: 1. The …