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Explicit solutions to fractional differential equations via generalized gamma convolution

   
@article{ECP1570,
	author = {Mirko D'Ovidio},
	title = {Explicit solutions to fractional differential equations via generalized gamma convolution},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {15},
	year = {2010},
	keywords = {Mellin convolution formula, generalized Gamma r.v.'s, Stable subordinators, Fox functions, Bessel processes, Modified Bessel functions},
	abstract = {In this paper we deal with Mellin convolution of generalized Gamma densities which leads to integrals of modified Bessel functions of the second kind. Such convolutions allow us to explicitly write the solutions of the time-fractional diffusion equations involving the adjoint operators of a square Bessel process and a Bessel process},
	pages = {no. 42, 457-474},
	issn = {1083-589X},
	doi = {10.1214/ECP.v15-1570},    
        url = {http://ecp.ejpecp.org/article/view/1570}}