메뉴 건너뛰기




Volumn 62, Issue 3, 2011, Pages 1350-1358

Existence results for fractional integrodifferential equations with nonlocal condition via resolvent operators

Author keywords

Caputo derivative; Fractional calculus; Integrodifferential equation; Nonlocal condition; Resolvent operators

Indexed keywords

CAPUTO DERIVATIVES; EXISTENCE OF SOLUTIONS; EXISTENCE RESULTS; FIXED POINT THEOREMS; FRACTIONAL CALCULUS; FRACTIONAL INTEGRO-DIFFERENTIAL EQUATION; NON-LOCAL CONDITIONS; RESOLVENT OPERATORS;

EID: 79961001970     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2011.05.001     Document Type: Article
Times cited : (39)

References (23)
  • 9
    • 79961002587 scopus 로고    scopus 로고
    • Overview to mathematical analysis for fractional diffusion equations new mathematical aspects motivated by industrial collaboration
    • J. Nakagawa, K. Sakamoto, M. Yamamoto, Overview to mathematical analysis for fractional diffusion equations new mathematical aspects motivated by industrial collaboration, Journal of Math-for-Industry, 2, 2010A-10, 99108.
    • Journal of Math-for-Industry, 2, 2010A-10 , pp. 99108
    • Nakagawa, J.1    Sakamoto, K.2    Yamamoto, M.3
  • 10
    • 34247323827 scopus 로고    scopus 로고
    • Fractional differential equations as alternative models to nonlinear differential equations
    • DOI 10.1016/j.amc.2006.08.105, PII S0096300306011398
    • B. Bonilla, M. Rivero, L. Rodríguez-Germá, and J.J. Trujillo Fractional differential equations as alternative models to nonlinear differential equations Applied Mathematics and Computation 187 2007 79 88 (Pubitemid 46635706)
    • (2007) Applied Mathematics and Computation , vol.187 , Issue.1 SPEC. ISSUE , pp. 79-88
    • Bonilla, B.1    Rivero, M.2    Rodriguez-Germa, L.3    Trujillo, J.J.4
  • 11
    • 0002641421 scopus 로고    scopus 로고
    • The random walk's guide to anomalous diffusion: A fractional dynamics approach
    • R. Metzler, and J. Klafter The random walk's guide to anomalous diffusion: a fractional dynamics approach Physics Reports 339 2000 1 77
    • (2000) Physics Reports , vol.339 , pp. 1-77
    • Metzler, R.1    Klafter, J.2
  • 12
    • 4043151477 scopus 로고    scopus 로고
    • The restaurant at the end of the random walk: Recent developments in the description of anomalous transport by fractional dynamics
    • R. Metzler, and J. Klafter The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics Journal of Physics A: Mathematical and General 37 2004 R161 R208
    • (2004) Journal of Physics A: Mathematical and General , vol.37
    • Metzler, R.1    Klafter, J.2
  • 13
    • 77950369029 scopus 로고    scopus 로고
    • The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces
    • K. Balachandran, and J.J. Trujillo The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces Nonlinear Analysis: Theory, Methods and Applications 72 2010 4587 4593
    • (2010) Nonlinear Analysis: Theory, Methods and Applications , vol.72 , pp. 4587-4593
    • Balachandran, K.1    Trujillo, J.J.2
  • 18
    • 0347763940 scopus 로고    scopus 로고
    • Some applications of nonlinear fractional differential equations and their approximations
    • J.H. He Some applications of nonlinear fractional differential equations and their approximations Bulletin of Science, Technology and Society 15 1999 86 90
    • (1999) Bulletin of Science, Technology and Society , vol.15 , pp. 86-90
    • He, J.H.1
  • 19
    • 84977255207 scopus 로고
    • Linear models of dissipation whose Q is almost frequency independent, part II
    • M. Caputo Linear models of dissipation whose Q is almost frequency independent, part II Geophysical Journal of the Royal Astronomical Society 13 1967 529 539
    • (1967) Geophysical Journal of the Royal Astronomical Society , vol.13 , pp. 529-539
    • Caputo, M.1
  • 20
    • 77955845596 scopus 로고    scopus 로고
    • On fractional powers of generators of fractional resolvent families
    • M. Li, C. Chen, and F.B. Li On fractional powers of generators of fractional resolvent families Journal of Functional Analysis 259 2010 2702 2726
    • (2010) Journal of Functional Analysis , vol.259 , pp. 2702-2726
    • Li, M.1    Chen, C.2    Li, F.B.3
  • 22


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.