A new fractional derivative without singular kernel: Application to the modelling of the steady heat flow

Abstract

In this article we propose a new fractional derivative without singular kernel. We consider the potential application for modeling the steady heat-conduction problem. The analytical solution of the fractional-order heat flow is also obtained by means of the Laplace transform.

1 figure

Cited by in corpus (8)

• A new fractional operator of variable order: application in the description of anomalous diffusion
• Fractional derivatives of constant and variable orders applied to anomalous relaxation models in heat-transfer problems
• A new fractional derivative involving the normalized sinc function without singular kernel
• On some analytic properties of tempered fractional calculus
• On the Nonlinear $\Psi$-Hilfer Fractional Differential Equations
• Some new applications for heat and fluid flows via fractional derivatives without singular kernel
• Stability Analysis of Fractional Differential Equations with Unknown Parameters
• Forecasting of time data with using fractional Brownian motion