An Integro-Differential Equation of the Fractional Form: Cauchy Problem and Solution

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dc.contributor.author	Olivar Romero, Fernando
dc.contributor.author	Rosas Ortiz, Óscar
dc.date.accessioned	2020-01-11T20:01:45Z
dc.date.available	2020-01-11T20:01:45Z
dc.date.issued	2019
dc.identifier.citation	In S. Kuru, J. Negro and L.M. Nieto (eds.), Integrability, Supersymmetry and Coherent States. A volume in honour of Professor Véronique Hussin. CRM Series in Mathematical Physics (Berlin: Springer, 2019), pp. 387-393.	es
dc.identifier.uri	http://uvadoc.uva.es/handle/10324/40099
dc.description	Producción Científica	es
dc.description.abstract	We solve the Cauchy problem defined by the fractional partial differential equation [∂tt − κD]u = 0, with D the pseudo-differential Riesz operator of first order, and certain initial conditions. The solution of the Cauchy problem resulting from the substitution of the Gaussian pulse u(x, 0) by the Dirac delta distribution ϕ(x) = μδ(x) is obtained as corollary.	es
dc.format.mimetype	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Springer	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.title	An Integro-Differential Equation of the Fractional Form: Cauchy Problem and Solution	es
dc.type	info:eu-repo/semantics/article	es
dc.identifier.doi	10.1007/978-3-030-20087-9_18	es
dc.identifier.publicationfirstpage	387	es
dc.identifier.publicationlastpage	393	es
dc.peerreviewed	SI	es
dc.description.project	MINECO grant MTM2014-57129-C2-1-P.	es
dc.type.hasVersion	info:eu-repo/semantics/draft	es