Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/8569
DC Field | Value | Language |
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dc.contributor.author | Stojanović, Mirjana | en_US |
dc.date.accessioned | 2019-09-30T09:09:36Z | - |
dc.date.available | 2019-09-30T09:09:36Z | - |
dc.date.issued | 2013-11-01 | - |
dc.identifier.issn | 02529602 | en_US |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/8569 | - |
dc.description.abstract | We find an upper viscosity solution and give a proof of the existence-uniqueness in the space C∞(t∈(0,∞);H2s+2(Rn))∩C0(t∈[0,∞);Hs(Rn)), s ∈R, to the nonlinear time fractional equation of distributed order with spatial Laplace operator subject to the Cauchy conditions (0.1)∫02p(β)D*β u(x,t)dβ=δxu(x,t)+f(t,u(t, x)),t≥0,x∈Rn,u(o,x)=ut(0,x)=ψ(x), where δ x is the spatial Laplace operator, D*β is the operator of fractional differentiation in the Caputo sense and the force term F satisfies the Assumption 1 on the regularity and growth. For the weight function we take a positive-linear combination of delta distributions concentrated at points of interval (0,2) i.e., p(β)=∑k=1mbk δ(β-βk), 0 <βk<2, bk>0, k=1,2,m. The regularity of the solution is established in the framework of the space C ∞ (t∈(0,∞); C∞ ( R n )) ∩ C o (t∈ [0, ∞); C ∞ ( R n ))when the initial data belong to the Sobolev space H2s(Rn), s ∈ R. © 2013 Wuhan Institute of Physics and Mathematics. | en |
dc.relation.ispartof | Acta Mathematica Scientia | en |
dc.title | Regularity of solutions to nonlinear time fractional differential equation | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.doi | 10.1016/S0252-9602(13)60118-6 | - |
dc.identifier.scopus | 2-s2.0-84885757032 | - |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/84885757032 | - |
dc.description.version | Unknown | en_US |
dc.relation.lastpage | 1735 | en |
dc.relation.firstpage | 1721 | en |
dc.relation.issue | 6 | en |
dc.relation.volume | 33 | en |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
Appears in Collections: | PMF Publikacije/Publications |
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