Applications of distributed-order fractional operators: A review

W Ding, S Patnaik, S Sidhardh, F Semperlotti - Entropy, 2021 - mdpi.com
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 …

Association of Jensen's inequality for s-convex function with Csiszár divergence

M Adil Khan, M Hanif, K Ahmad, YM Chu - Journal of Inequalities and …, 2019 - Springer
In the article, we establish an inequality for Csiszár divergence associated with s-convex
functions, present several inequalities for Kullback–Leibler, Renyi, Hellinger, Chi-square …

[HTML][HTML] A novel finite volume method for the Riesz space distributed-order diffusion equation

J Li, F Liu, L Feng, I Turner - Computers & mathematics with applications, 2017 - Elsevier
In recent years, considerable attention has been devoted to distributed-order differential
equations mainly because they appear to be more effective for modelling complex …

[HTML][HTML] Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time–space fractional Bloch–Torrey equations on irregular convex …

F Liu, L Feng, V Anh, J Li - Computers & Mathematics with Applications, 2019 - Elsevier
Abstract Models based on partial differential equations containing time–space fractional
derivatives have attracted considerable interest in the past decade because of their ability to …

[HTML][HTML] A Crank–Nicolson ADI Galerkin–Legendre spectral method for the two-dimensional Riesz space distributed-order advection–diffusion equation

H Zhang, F Liu, X Jiang, F Zeng, I Turner - Computers & Mathematics with …, 2018 - Elsevier
In the paper, a Crank–Nicolson alternating direction implicit (ADI) Galerkin–Legendre
spectral scheme is presented for the two-dimensional Riesz space distributed-order …

Integral majorization type inequalities for the functions in the sense of strong convexity

S Zaheer Ullah, MA Khan, ZA Khan… - Journal of Function …, 2019 - Wiley Online Library
Integral Majorization Type Inequalities for the Functions in the Sense of Strong Convexity -
Zaheer Ullah - 2019 - Journal of Function Spaces - Wiley Online Library Skip to Article Content …

[HTML][HTML] Direct meshless local Petrov–Galerkin (DMLPG) method for time-fractional fourth-order reaction–diffusion problem on complex domains

M Abbaszadeh, M Dehghan - Computers & Mathematics with Applications, 2020 - Elsevier
A new numerical scheme has been developed based on the fast and efficient meshless
local weak form ie direct meshless local Petrov–Galerkin (DMLPG) method for solving the …

Sharp bounds for Neuman means in terms of two-parameter contraharmonic and arithmetic mean

WM Qian, ZY He, HW Zhang, YM Chu - Journal of Inequalities and …, 2019 - Springer
In the article, we prove that λ 1= 1/2+(2+ log (1+ 2))/2 1/ν− 1/2 λ_1=1/2+(2+\log(1+2))/2^1/ν-
1/2, μ 1= 1/2+ 6 ν/(12 ν) μ_1=1/2+6ν/(12ν), λ 2= 1/2+(π+ 2)/4 1/ν− 1/2 λ_2=1/2+(π+2)/4^1/ν …

[HTML][HTML] A novel RBF collocation method using fictitious centres

CS Chen, A Karageorghis, F Dou - Applied Mathematics Letters, 2020 - Elsevier
We propose a simple approach which considerably improves the performance of the well-
known Kansa method for the solution of boundary value problems (BVPs). In the proposed …

Numerical methods and analysis for simulating the flow of a generalized Oldroyd-B fluid between two infinite parallel rigid plates

L Feng, F Liu, I Turner, P Zhuang - International Journal of Heat and Mass …, 2017 - Elsevier
In recent years, non-Newtonian fluids have been widely applied in a number of engineering
applications. One particular subclass of non-Newtonian fluids is the generalized Oldroyd-B …