Geodesic
Solutions of fractional diffusion problems
Electronic journal of differential equations, Tome 2010 (2010)
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.
Classification : 34A12
Keywords: fractional calculus, majorant function, diffusion problems, holomorphic solution, Riemann-Liouville operators 
@article{EJDE_2010__2010__a97,
     author = {Ibrahim,  Rabha W.},
     title = {Solutions of fractional diffusion problems},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1205.35333},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a97/}
}
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Ibrahim,  Rabha W. Solutions of fractional diffusion problems. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a97/