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Volumn 61, Issue 8, 2011, Pages 2227-2231

Fractional calculus-A new approach to the analysis of generalized fourth-order diffusionwave equations

Author keywords

Caputo fractional derivative; Generalized fourth order fractional diffusionwave equations; He's homotopy perturbation method; Mittag Leffler function

Indexed keywords

CAPUTO FRACTIONAL DERIVATIVES; CAPUTO SENSE; DIFFUSION WAVE EQUATION; FOURTH-ORDER; FRACTIONAL CALCULUS; HE'S HOMOTOPY PERTURBATION METHOD; HOMOTOPY PERTURBATION METHOD; MITTAG-LEFFLER FUNCTIONS; NEW APPROACHES; NONLINEAR OPERATOR;

EID: 79953758205     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2010.09.022     Document Type: Article
Times cited : (56)

References (7)
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    • (1999) Bull. Sci. Technol. , vol.15 , Issue.2 , pp. 86-90
    • He, J.H.1
  • 3
    • 0035359131 scopus 로고    scopus 로고
    • A general solution for a fourth-order fractional diffusion-wave equation defined in a bounded domain
    • DOI 10.1016/S0045-7949(01)00026-8, PII S0045794901000268
    • O.P. Agrawal A general solution for a fourth-order fractional diffusion-wave equation defined in a bounded domain Comput. Struct. 79 2001 1497 1501 (Pubitemid 32724603)
    • (2001) Computers and Structures , vol.79 , Issue.16 , pp. 1497-1501
    • Agrawal, O.P.1
  • 5
    • 35348869861 scopus 로고    scopus 로고
    • Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order
    • DOI 10.1016/j.chaos.2006.06.041, PII S0960077906005972
    • Z. Odibat, and S. Momani Modified homotopy perturbation method: application to quadratic Riccati differential equation of fractional order Chaos Solitons Fractals 36 2008 167 174 (Pubitemid 47576648)
    • (2008) Chaos, Solitons and Fractals , vol.36 , Issue.1 , pp. 167-174
    • Odibat, Z.1    Momani, S.2
  • 6
    • 0037440579 scopus 로고    scopus 로고
    • Homotopy perturbation method: A new nonlinear analytical technique
    • J.H. He Homotopy perturbation method: a new nonlinear analytical technique Appl. Math. Comput. 135 2003 73 79
    • (2003) Appl. Math. Comput. , vol.135 , pp. 73-79
    • He, J.H.1
  • 7
    • 0347450513 scopus 로고    scopus 로고
    • A new algorithm for calculating Adomian polynomials for nonlinear operator
    • A. Wazwaz A new algorithm for calculating Adomian polynomials for nonlinear operator Appl. Math. Comput. 111 2000 53 69
    • (2000) Appl. Math. Comput. , vol.111 , pp. 53-69
    • Wazwaz, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.