•  
  •  
 

Progress in Fractional Differentiation & Applications

Author Country (or Countries)

Jordan

Abstract

In this paper, we study a general time-fractional diffusion equation involving the Atangana-Baleanu derivative of Caputo sense. First, we derive weak maximum-minimum principles to the associated fractional differential operators of the parabolic type, then we apply these principles to establish uniqueness and stability results to initial-boundary value problem and to obtain a norm estimate of the solution. For the existence of solution to the problem, we apply the eigenfunction expansion method to construct a formal solution, which under certain conditions proved to be a weak solution.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090108

Share

COinS