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Volumn 187, Issue 1 SPEC. ISS., 2007, Pages 68-78

On systems of linear fractional differential equations with constant coefficients

Author keywords

Fractional Green function; Linear systems of fractional differential equations; Matrix Mittag Leffler type functions

Indexed keywords

LINEAR EQUATIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING;

EID: 34247394106     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.08.104     Document Type: Article
Times cited : (168)

References (12)
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    • Fractional calculus: integral and differential equations of fractional order
    • Fractal and Fractional Calculus in Continuum Mechanics. Carpinteri A., and Mainardi F. (Eds), Springer-Verlag, New York
    • Gorenflo R., and Mainardi F. Fractional calculus: integral and differential equations of fractional order. In: Carpinteri A., and Mainardi F. (Eds). Fractal and Fractional Calculus in Continuum Mechanics. CISM Courses and Lectures vol. 378 (1997), Springer-Verlag, New York 277-290
    • (1997) CISM Courses and Lectures , vol.378 , pp. 277-290
    • Gorenflo, R.1    Mainardi, F.2
  • 6
    • 33244471191 scopus 로고    scopus 로고
    • An extension of Picard-Lindelöff theorem to fractional differential equations
    • Hayek N., Trujillo J.J., Rivero M., Bonilla B., and Moreno J.C. An extension of Picard-Lindelöff theorem to fractional differential equations. Appl. Anal. 70 (1999) 347-361
    • (1999) Appl. Anal. , vol.70 , pp. 347-361
    • Hayek, N.1    Trujillo, J.J.2    Rivero, M.3    Bonilla, B.4    Moreno, J.C.5
  • 7
    • 27244443858 scopus 로고    scopus 로고
    • Existence and uniqueness theorems for differential equations of fractional order in weighted spaces of continuous functions
    • Kilbas A.A., Rivero M., and Trujillo J.J. Existence and uniqueness theorems for differential equations of fractional order in weighted spaces of continuous functions. Fract. Calc. Appl. Anal. 6 (2003) 432-469
    • (2003) Fract. Calc. Appl. Anal. , vol.6 , pp. 432-469
    • Kilbas, A.A.1    Rivero, M.2    Trujillo, J.J.3
  • 8
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    • On the initial value problem for the fractional diffusion-wave equation
    • Rionero S., and Ruggeri T. (Eds), World Scientific Publishing Company, Singapore
    • Mainardi F. On the initial value problem for the fractional diffusion-wave equation. In: Rionero S., and Ruggeri T. (Eds). Waves and Stability in Continuous Media (Bologna 1993) (1994), World Scientific Publishing Company, Singapore 246-251
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    • On a Riemann-Liouville generalized Taylor's formula
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.