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Volumn , Issue , 2007, Pages 77-91

Linear differential equations of fractional order

Author keywords

Caputo; Fractional differential equations; linear; Riemann Liouville

Indexed keywords


EID: 47049097664     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-1-4020-6042-7_6     Document Type: Chapter
Times cited : (26)

References (19)
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    • An extension of picard-lindelöff theorem to fractional differential equations
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    • (1999) Appl. Anal. , vol.70 , Issue.3-4 , pp. 347-361
    • Hayek, N.1    Trujillo, J.J.2    Rivero, M.3    Bonilla, B.4    Moreno, J.C.5
  • 5
    • 0039293981 scopus 로고
    • Sur la fonction de Mittag-Leffler et quelques-unes de ses généralisations
    • Humbert P, Agarwal RP (1953) Sur la fonction de Mittag-Leffler et quelques-unes de ses généralisations, Bull. Sci. Math. Ser. 2 77:180-185.
    • (1953) Bull. Sci. Math. ser. 2 , vol.77 , pp. 180-185
    • Humbert, P.1    Agarwal, R.P.2
  • 6
    • 0039014069 scopus 로고    scopus 로고
    • Fractional integrals and derivatives, and differential equations of fractional order in weighted spaces of continuous functions
    • Kilbas AA, Bonilla B, Trujillo JJ (2000) Fractional integrals and derivatives, and differential equations of fractional order in weighted spaces of continuous functions, Dokl. Math. 2(62):222-226.
    • (2000) Dokl. Math. , vol.2 , Issue.62 , pp. 222-226
    • Kilbas, A.A.1    Bonilla, B.2    Trujillo, J.J.3
  • 7
    • 0012415112 scopus 로고    scopus 로고
    • Existence and uniqueness theorems for nonlinear fractional differential equations
    • Kilbas AA, Bonilla B, Trujillo JJ (2000) Existence and uniqueness theorems for nonlinear fractional differential equations, Demostratio Math. 3(33):583-602.
    • (2000) Demostratio Math. , vol.3 , Issue.33 , pp. 583-602
    • Kilbas, A.A.1    Bonilla, B.2    Trujillo, J.J.3
  • 9
    • 33244488577 scopus 로고    scopus 로고
    • Fractional differential equations: An emergent field in applied and mathematical sciences
    • (S. Samko, A. Lebre and A.F. dos Santos (eds.), Kluwer Acadedemic London)
    • Kilbas AA, Srivastava HM, Trujillo JJ (2003) Fractional differential equations: an emergent field in applied and mathematical sciences, in: Factorization, Singular Operators and Related Problems (S. Samko, A. Lebre and A.F. dos Santos (eds.), Kluwer Acadedemic London), pp. 151-174.
    • (2003) Factorization, Singular Operators and Related Problems , pp. 151-174
    • Kilbas, A.A.1    Srivastava, H.M.2    Trujillo, J.J.3
  • 10
    • 0002641421 scopus 로고    scopus 로고
    • The random walk's guide to anomalous diffusion: A fractional dynamic approach
    • Metzler R, Klafter J (2000) The random walk's guide to anomalous diffusion: A fractional dynamic approach, Phys. Rep. 1(339)1-77.
    • (2000) Phys. Rep. , vol.1 , Issue.339 , pp. 1-77
    • Metzler, R.1    Klafter, J.2
  • 14
    • 0003244044 scopus 로고    scopus 로고
    • Fractional differential equations
    • Academic Press, London
    • Podlubny I (1999) Fractional differential equations, in: Mathematics in Science and Engineering 198. Academic Press, London.
    • (1999) Mathematics in Science and Engineering , vol.198
    • Podlubny, I.1
  • 15
    • 23644455602 scopus 로고
    • The development of fractional calculus: 1695-1900
    • Ross B (1977) The development of fractional calculus: 1695-1900, Hist. Math. 4:75-89.
    • (1977) Hist. Math. , vol.4 , pp. 75-89
    • Ross, B.1
  • 16
    • 0042494532 scopus 로고    scopus 로고
    • On a riemann-liouville generalized taylor's formula
    • Trujillo JJ, Rivero M, Bonilla B (1999) On a Riemann-Liouville generalized Taylor's formula, J. Math Anal. Appl. (1)(231):255-265.
    • (1999) J. Math Anal. Appl. , vol.231 , Issue.1 , pp. 255-265
    • Trujillo, J.J.1    Rivero, M.2    Bonilla, B.3
  • 18
    • 0001553919 scopus 로고
    • Fractional diffusion and wave equations
    • Schneider WR, Wyss W (1989) Fractional diffusion and wave equations, J. Math. Phys. 30:134-144.
    • (1989) J. Math. Phys. , vol.30 , pp. 134-144
    • Schneider, W.R.1    Wyss, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.