Applications of distributed-order fractional operators: A review
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 …
area of fractional calculus that has important and far-reaching applications for the modeling …
[HTML][HTML] Analysing time-fractional exotic options via efficient local meshless method
In this article, we analyse the numerical simulation of the time-fractional Black-Scholes
model governing butterfly spread option, digital option and double barrier option. For this …
model governing butterfly spread option, digital option and double barrier option. For this …
Fractional Chebyshev deep neural network (FCDNN) for solving differential models
Differential and integral equations have been used vastly in modeling engineering and
science problems. Solving these equations has been always an active and important area of …
science problems. Solving these equations has been always an active and important area of …
An L1 type difference/Galerkin spectral scheme for variable-order time-fractional nonlinear diffusion–reaction equations with fixed delay
A linearized spectral Galerkin/finite difference approach is developed for variable fractional-
order nonlinear diffusion–reaction equations with a fixed time delay. The temporal …
order nonlinear diffusion–reaction equations with a fixed time delay. The temporal …
Numerical treatment of microscale heat transfer processes arising in thin films of metals
The microscale heat transport equation (MHTE) is an important model in the
microtechnology. The MHTE differs from the classical model of heat diffusion since it …
microtechnology. The MHTE differs from the classical model of heat diffusion since it …
Numerical solution of the fractional Rayleigh–Stokes model arising in a heated generalized second-grade fluid
This paper addresses the solution of the Rayleigh–Stokes problem for an edge in a
generalized Oldroyd-B fluid using fractional derivatives and the radial basis function …
generalized Oldroyd-B fluid using fractional derivatives and the radial basis function …
Fast second-order time two-mesh mixed finite element method for a nonlinear distributed-order sub-diffusion model
In this article, a time two-mesh (TT-M) algorithm combined with the H 1-Galerkin mixed finite
element (FE) method is introduced to numerically solve the nonlinear distributed-order sub …
element (FE) method is introduced to numerically solve the nonlinear distributed-order sub …
A capable numerical meshless scheme for solving distributed order time-fractional reaction–diffusion equation
A Habibirad, H Azin, E Hesameddini - Chaos, Solitons & Fractals, 2023 - Elsevier
Distributed order fractional differential equations are efficient in describing physical
phenomena because of the differential order distribution. In this paper, the distributed order …
phenomena because of the differential order distribution. In this paper, the distributed order …
A kernel‐based pseudo‐spectral method for multi‐term and distributed order time‐fractional diffusion equations
M Fardi - Numerical Methods for Partial Differential Equations, 2023 - Wiley Online Library
In this paper, we focus on the study of a kernel‐based method in pseudo‐spectral (PS)
mode for multi‐term and distributed order time‐fractional diffusion equations. Using the …
mode for multi‐term and distributed order time‐fractional diffusion equations. Using the …
A Galerkin meshless reproducing kernel particle method for numerical solution of neutral delay time-space distributed-order fractional damped diffusion-wave …
M Abbaszadeh, M Dehghan - Applied Numerical Mathematics, 2021 - Elsevier
The delay PDEs are called partial functional differential equations as their unknown
solutions are used in these equations as functional arguments. On the other hand, a neutral …
solutions are used in these equations as functional arguments. On the other hand, a neutral …