Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 147, pp. 1-11.

Title: Solutions of fractional diffusion problems

Author: Rabha W. Ibrahim (UKM, Malaysia)

Abstract:
 Using the concept of majorant functions, we prove the existence
 and uniqueness of holomorphic solutions to nonlinear
 fractional diffusion problems. The analytic continuation
 of these solutions is  studied and the singularity for two
 cases are posed.
 
Submitted April 20, 2010. Published October 18, 2010.
Math Subject Classifications: 34A12.
Key Words: Fractional calculus; majorant function; diffusion problems;
           holomorphic solution; Riemann-Liouville operators.