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Volumn 263, Issue 2, 2012, Pages 476-510

Cauchy problems for fractional differential equations with Riemann-Liouville fractional derivatives

Author keywords

Cauchy problem; Fractional resolvent; Riemann Liouville fractional derivative; Well posedness

Indexed keywords


EID: 84861344017     PISSN: 00221236     EISSN: 10960783     Source Type: Journal    
DOI: 10.1016/j.jfa.2012.04.011     Document Type: Article
Times cited : (169)

References (15)
  • 1
    • 0141496655 scopus 로고    scopus 로고
    • Fractional evolution equations in Banach spaces
    • PhD thesis, University Press Facilities, Eindhoven University of Technology
    • E. Bazhlekova, Fractional evolution equations in Banach spaces, PhD thesis, University Press Facilities, Eindhoven University of Technology, 2001.
    • (2001)
    • Bazhlekova, E.1
  • 3
    • 0003307607 scopus 로고    scopus 로고
    • Vector-Valued Laplace Transforms and Cauchy Problems
    • Birkhäuser, Basel
    • Arendt W., Batty C., Hieber M., Neubrander F. Vector-Valued Laplace Transforms and Cauchy Problems. Monogr. Math. 2001, vol. 96. Birkhäuser, Basel.
    • (2001) Monogr. Math. , vol.96
    • Arendt, W.1    Batty, C.2    Hieber, M.3    Neubrander, F.4
  • 4
    • 51649147034 scopus 로고
    • Vector-value Laplace transforms and Cauchy problems
    • Arendt W. Vector-value Laplace transforms and Cauchy problems. Israel J. Math. 1987, 59:327-352.
    • (1987) Israel J. Math. , vol.59 , pp. 327-352
    • Arendt, W.1
  • 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
    • 0021448875 scopus 로고
    • To the theoretical explanation of the "universal response"
    • Nigmatullin R.R. To the theoretical explanation of the "universal response". Phys. Stat. Solidi B 1984, 123:739-745.
    • (1984) Phys. Stat. Solidi B , vol.123 , pp. 739-745
    • Nigmatullin, R.R.1
  • 7
    • 33745869026 scopus 로고    scopus 로고
    • Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives
    • Heymans N., Podlubny I. Physical interpretation of initial conditions for fractional differential equations with Riemann-Liouville fractional derivatives. Rheol. Acta 2006, 45:765-771.
    • (2006) Rheol. Acta , vol.45 , pp. 765-771
    • Heymans, N.1    Podlubny, I.2
  • 8
    • 1942542248 scopus 로고    scopus 로고
    • Cauchy problems for fractional diffusion equations
    • Eidelman S.D., Kochubei A.N. Cauchy problems for fractional diffusion equations. J. Differential Equations 2004, 199:211-255.
    • (2004) J. Differential Equations , vol.199 , pp. 211-255
    • Eidelman, S.D.1    Kochubei, A.N.2
  • 9
    • 43949160116 scopus 로고
    • Fractional kinetic equation for Hamiltonian chaos
    • Zaslavsky G.M. Fractional kinetic equation for Hamiltonian chaos. Phys. D 1994, 76:110-122.
    • (1994) Phys. D , vol.76 , pp. 110-122
    • Zaslavsky, G.M.1
  • 10
    • 63049113652 scopus 로고    scopus 로고
    • Fractional diffusion equations and processes with randomly varying time
    • Orsingher E., Beghin L. Fractional diffusion equations and processes with randomly varying time. Ann. Probab. 2009, 37:206-249.
    • (2009) Ann. Probab. , vol.37 , pp. 206-249
    • Orsingher, E.1    Beghin, L.2
  • 11
    • 70449607356 scopus 로고    scopus 로고
    • Fractional Cauchy problems on bounded domains
    • Meerschaert M.M., Nane E., Vellaisamy P. Fractional Cauchy problems on bounded domains. Ann. Probab. 2009, 37:979-1007.
    • (2009) Ann. Probab. , vol.37 , pp. 979-1007
    • Meerschaert, M.M.1    Nane, E.2    Vellaisamy, P.3
  • 12
    • 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, 259:2702-2726.
    • (2010) J. Funct. Anal. , vol.259 , pp. 2702-2726
    • Li, M.1    Chen, C.2    Li, F.-B.3
  • 13
    • 10844243839 scopus 로고    scopus 로고
    • On spectral inclusions and approximation of α-times resolvent families
    • Li M., Zh Q. On spectral inclusions and approximation of α-times resolvent families. Semigroup Forum 2004, 69:356-368.
    • (2004) Semigroup Forum , vol.69 , pp. 356-368
    • Li, M.1    Zh, Q.2
  • 14
    • 0004291558 scopus 로고
    • Opérateurs Maximaux Monotones et Semi-groupes de Contrations dans les Espaces de Hilbert
    • North-Holland, Amsterdam
    • Brezis H. Opérateurs Maximaux Monotones et Semi-groupes de Contrations dans les Espaces de Hilbert. Math. Stud. 1973, vol. 5. North-Holland, Amsterdam.
    • (1973) Math. Stud. , vol.5
    • Brezis, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.