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Volumn 20, Issue 3-4, 2009, Pages 215-222

Distributional framework for solving fractional differential equations

Author keywords

Distributed order fractional differential equations; Laplace transform; Tempered distribution

Indexed keywords


EID: 61949113544     PISSN: 10652469     EISSN: 14768291     Source Type: Journal    
DOI: 10.1080/10652460802568069     Document Type: Conference Paper
Times cited : (27)

References (13)
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    • Atanackovic, T.M.1
  • 2
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    • A modified Zener model of a viscoelastic body
    • T.M. Atanackovic, A modified Zener model of a viscoelastic body, Contin. Mech. Thermodyn. 14 (2002), pp. 137-148.
    • (2002) Contin. Mech. Thermodyn , vol.14 , pp. 137-148
    • Atanackovic, T.M.1
  • 3
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    • On a distributed derivative model of viscoelastic body
    • T.M. Atanackovic, On a distributed derivative model of viscoelastic body, C.R. Acad. Sci. Mec. 331 (2003), pp. 687-692.
    • (2003) C.R. Acad. Sci. Mec , vol.331 , pp. 687-692
    • Atanackovic, T.M.1
  • 4
    • 31744433150 scopus 로고    scopus 로고
    • On a model of viscoelastic rod in unilateral contact with a rigid wall
    • T.M. Atanackovic, L.J. Oparnica, and S. Pilipović, On a model of viscoelastic rod in unilateral contact with a rigid wall, IMA J. Appl. Math. 1 (2005), pp. 1-13.
    • (2005) IMA J. Appl. Math , vol.1 , pp. 1-13
    • Atanackovic, T.M.1    Oparnica, L.J.2    Pilipović, S.3
  • 5
    • 33845944224 scopus 로고    scopus 로고
    • On a nonlinear distributed order fractional differential equation
    • T.M. Atanackovic, L.J. Oparnica, and S. Pilipović, On a nonlinear distributed order fractional differential equation J. Math. Anal. Appl. 328 (2007), pp. 590-608.
    • (2007) J. Math. Anal. Appl , vol.328 , pp. 590-608
    • Atanackovic, T.M.1    Oparnica, L.J.2    Pilipović, S.3
  • 6
    • 61949282291 scopus 로고    scopus 로고
    • T.M. Atanackovic, L.J. Oparnica, and S. Pilipović, Semilinear ordinary differential equation coupled with distributed order fractional differential equation, preprint (2008) arXiv:0811-2871v.1.
    • T.M. Atanackovic, L.J. Oparnica, and S. Pilipović, Semilinear ordinary differential equation coupled with distributed order fractional differential equation, preprint (2008) arXiv:0811-2871v.1.
  • 7
    • 26844448728 scopus 로고    scopus 로고
    • On a class of equations arising in linear viscoelasticity theory
    • T.M. Atanackovic and S. Pilipović, On a class of equations arising in linear viscoelasticity theory, Z. Angew. Math. Mech. 85 (2005), pp. 748-754.
    • (2005) Z. Angew. Math. Mech , vol.85 , pp. 748-754
    • Atanackovic, T.M.1    Pilipović, S.2
  • 8
    • 0000227056 scopus 로고    scopus 로고
    • Distributed order differential equation modeling dialectric induction and diffusion
    • M. Caputo, Distributed order differential equation modeling dialectric induction and diffusion, Fract. Calc. Appl. Anal. 4 (2001), pp. 421-442.
    • (2001) Fract. Calc. Appl. Anal , vol.4 , pp. 421-442
    • Caputo, M.1
  • 10
    • 34247367101 scopus 로고    scopus 로고
    • Some aspects of fractional diffusion equation of single and distributed order
    • R Mainardi, G. Pagnini, and R. Gorenflo, Some aspects of fractional diffusion equation of single and distributed order; Appl. Math. Comput. 187 (2006), pp. 295-305.
    • (2006) Appl. Math. Comput , vol.187 , pp. 295-305
    • Mainardi, R.1    Pagnini, G.2    Gorenflo, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.