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Volumn 384, Issue 2, 2011, Pages 453-467

On boundary values of fractional resolvent families

Author keywords

Approximations; Boundary values; Fractional powers of generators; Fractional resolvent families

Indexed keywords


EID: 79961023866     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2011.05.074     Document Type: Article
Times cited : (12)

References (27)
  • 2
    • 63549089594 scopus 로고    scopus 로고
    • Brownian subordinators and fractional Cauchy problems
    • Baeumer B., Meerschaert M.M., Nane E. Brownian subordinators and fractional Cauchy problems. Trans. Amer. Math. Soc. 2009, 361:3915-3930.
    • (2009) Trans. Amer. Math. Soc. , vol.361 , pp. 3915-3930
    • Baeumer, B.1    Meerschaert, M.M.2    Nane, E.3
  • 3
    • 79961030948 scopus 로고    scopus 로고
    • Fractional evolution equations in Banach spaces, PhD thesis, Eindhoven University of Technology.
    • E. Bajlekova, Fractional evolution equations in Banach spaces, PhD thesis, Eindhoven University of Technology, 2001.
    • (2001)
    • Bajlekova, E.1
  • 4
    • 0034113992 scopus 로고    scopus 로고
    • The fractional-order governing equation of Lévy motion
    • Benson D.A., Wheatcraft S.W., Meerschaert M.M. The fractional-order governing equation of Lévy motion. Water Resour. Res 2000, 36(6):1413-1424.
    • (2000) Water Resour. Res , vol.36 , Issue.6 , pp. 1413-1424
    • Benson, D.A.1    Wheatcraft, S.W.2    Meerschaert, M.M.3
  • 5
    • 74649087129 scopus 로고    scopus 로고
    • On fractional resolvent operator functions
    • Chen C., Li M. On fractional resolvent operator functions. Semigroup Forum 2010, 80:121-142.
    • (2010) Semigroup Forum , vol.80 , pp. 121-142
    • Chen, C.1    Li, M.2
  • 6
    • 0041330534 scopus 로고    scopus 로고
    • On operator cosine functions in UMD spaces
    • Cioranescu I., Keyantuo V. On operator cosine functions in UMD spaces. Semigroup Forum 2001, 63:429-440.
    • (2001) Semigroup Forum , vol.63 , pp. 429-440
    • Cioranescu, I.1    Keyantuo, V.2
  • 7
    • 0011972234 scopus 로고
    • Linear integrodifferential equations in Banach space
    • Da Prato G., Iannelli M. Linear integrodifferential equations in Banach space. Rend. Sem. Mat. Univ. Padova 1980, 62:207-219.
    • (1980) Rend. Sem. Mat. Univ. Padova , vol.62 , pp. 207-219
    • Da Prato, G.1    Iannelli, M.2
  • 8
    • 0001096741 scopus 로고
    • Ordinary differential equations in linear topological spaces II
    • Fattorini H.O. Ordinary differential equations in linear topological spaces II. J. Differential Equations 1969, 6:50-70.
    • (1969) J. Differential Equations , vol.6 , pp. 50-70
    • Fattorini, H.O.1
  • 9
    • 0039595671 scopus 로고
    • Uniformly bounded cosine functions in Hilbert space
    • Fattorini H.O. Uniformly bounded cosine functions in Hilbert space. Indiana Univ. Math. J. 1970/1971, 20:411-425.
    • (1970) Indiana Univ. Math. J. , vol.20 , pp. 411-425
    • Fattorini, H.O.1
  • 11
    • 67349187394 scopus 로고    scopus 로고
    • The group reduction for bounded cosine functions on UMD spaces
    • Haase M. The group reduction for bounded cosine functions on UMD spaces. Math. Z. 2009, 262:281-299.
    • (2009) Math. Z. , vol.262 , pp. 281-299
    • Haase, M.1
  • 12
    • 51649136534 scopus 로고
    • Estimates for translation invariant operators in Lp spaces
    • Hörmander L. Estimates for translation invariant operators in Lp spaces. Acta Math. 1960, 104:93-139.
    • (1960) Acta Math. , vol.104 , pp. 93-139
    • Hörmander, L.1
  • 13
    • 34247567990 scopus 로고    scopus 로고
    • Stochastic Volterra equations driven by cylindrical Weiner process
    • Karczewska A., Lizama C. Stochastic Volterra equations driven by cylindrical Weiner process. J. Evol. Equ. 2007, 7:373-386.
    • (2007) J. Evol. Equ. , vol.7 , pp. 373-386
    • Karczewska, A.1    Lizama, C.2
  • 14
    • 70349786511 scopus 로고    scopus 로고
    • Algebra homomorphisms defined via convoluted semigroups and cosine functions
    • Keyantuo V., Lizama C., Miana P.J. Algebra homomorphisms defined via convoluted semigroups and cosine functions. J. Funct. Anal. 2009, 257:3454-3487.
    • (2009) J. Funct. Anal. , vol.257 , pp. 3454-3487
    • Keyantuo, V.1    Lizama, C.2    Miana, P.J.3
  • 16
    • 69449088268 scopus 로고    scopus 로고
    • (a,k)-Regularized C-resolvent families: regularity and local properties
    • Article ID 858242, 27 pages
    • Kostić M. (a,k)-Regularized C-resolvent families: regularity and local properties. Abstr. Appl. Anal. 2009, 2009. Article ID 858242, 27 pages. 10.1155/2009/858242.
    • (2009) Abstr. Appl. Anal. , vol.2009
    • Kostić, M.1
  • 17
    • 77955845596 scopus 로고    scopus 로고
    • On fractional powers of generators of fractional resolvent families
    • Li M., Chen C., Li Fu-Bo On fractional powers of generators of fractional resolvent families. J. Funct. Anal. 2010, 259(10):2702-2726.
    • (2010) J. Funct. Anal. , vol.259 , Issue.10 , pp. 2702-2726
    • Li, M.1    Chen, C.2    Li, F.-B.3
  • 18
    • 10844243839 scopus 로고    scopus 로고
    • On spectral inclusions and approximations of α-times resolvent families
    • Li M., Zheng Q. On spectral inclusions and approximations of α-times resolvent families. Semigroup Forum 2004, 69:356-368.
    • (2004) Semigroup Forum , vol.69 , pp. 356-368
    • Li, M.1    Zheng, Q.2
  • 19
  • 20
    • 0034652891 scopus 로고    scopus 로고
    • Regularized solutions for abstract Volterra equations
    • Lizama C. Regularized solutions for abstract Volterra equations. J. Math. Anal. Appl. 2000, 243:278-292.
    • (2000) J. Math. Anal. Appl. , vol.243 , pp. 278-292
    • Lizama, C.1
  • 21
    • 0037610350 scopus 로고    scopus 로고
    • The Theory of Fractional Powers of Operators
    • North-Holland, Amsterdam
    • Martínez C., Sanz M. The Theory of Fractional Powers of Operators. North-Holland Math. Stud. 2001, vol. 187. North-Holland, Amsterdam.
    • (2001) North-Holland Math. Stud. , vol.187
    • Martínez, C.1    Sanz, M.2
  • 22
    • 0003244044 scopus 로고    scopus 로고
    • Fractional Differential Equations
    • Academic Press, San Diego
    • Podlubny I. Fractional Differential Equations. Math. Sci. Eng. 1999, vol. 198. Academic Press, San Diego.
    • (1999) Math. Sci. Eng. , vol.198
    • Podlubny, I.1
  • 24
    • 0034275979 scopus 로고    scopus 로고
    • Fractional calculus and continuous-time finance
    • Scalas E., Gorenflo R., Mainardi F. Fractional calculus and continuous-time finance. Phys. A 2000, 284:376-384.
    • (2000) Phys. A , vol.284 , pp. 376-384
    • Scalas, E.1    Gorenflo, R.2    Mainardi, F.3
  • 25
    • 0009305939 scopus 로고
    • Fractional powers of infinitesimal generators and the analyticity of the semigroups generated by them
    • Yosida K. Fractional powers of infinitesimal generators and the analyticity of the semigroups generated by them. Proc. Japan Acad. 1960, 36:86-89.
    • (1960) Proc. Japan Acad. , vol.36 , pp. 86-89
    • Yosida, K.1
  • 26
    • 43949160116 scopus 로고
    • Fractional kinetic equations for Hamiltonian chaos. Chaotic advection, tracer dynamics and turbulent dispersion
    • Zaslavsky G.M. Fractional kinetic equations for Hamiltonian chaos. Chaotic advection, tracer dynamics and turbulent dispersion. Phys. D 1994, 76:110-122.
    • (1994) Phys. D , vol.76 , pp. 110-122
    • Zaslavsky, G.M.1
  • 27
    • 56749108191 scopus 로고    scopus 로고
    • Is A-1 an infinitesimal generator?
    • Zwart H. Is A-1 an infinitesimal generator?. Banach Center Publ. 2007, 75:303-313.
    • (2007) Banach Center Publ. , vol.75 , pp. 303-313
    • Zwart, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.