School of Mathematical Sciences
Faculty of Sciences and Technology
UKM, Malaysia
email: rabhaibrahim@yahoo.com
Rabha W. Ibrahim
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.
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Rabha W. Ibrahim School of Mathematical Sciences Faculty of Sciences and Technology UKM, Malaysia email: rabhaibrahim@yahoo.com |
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