250 citations · 878 across the 14 of their papers we have counts for
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3 papers · 1 filter
physics.class-ph2016★ 148 cited
Fractional derivatives of constant and variable orders applied to anomalous relaxation models in heat-transfer problems
Xiao-Jun Yang
In the present paper, we address a class of the fractional derivatives of constant and variable orders for the first time. Fractional-order relaxation equations of constants and va…
cond-mat.stat-mech2016★ 244 cited
A new fractional operator of variable order: application in the description of anomalous diffusion
Xiao-Jun Yang, J. A. Tenreiro Machado
In this paper, a new fractional operator of variable order with the use of the monotonic increasing function is proposed in sense of Caputo type. The properties in term of the Lapl…
math.AP2016★ 24 cited
Some new applications for heat and fluid flows via fractional derivatives without singular kernel
Xiao-Jun Yang, Zhi-Zhen Zhang, H. M. Srivastava
This paper addresses the mathematical models for the heat-conduction equations and the Navier-Stokes equations via fractional derivatives without singular kernel.