메뉴 건너뛰기




Volumn 187, Issue 1 SPEC. ISS., 2007, Pages 239-249

α-Analytic solutions of some linear fractional differential equations with variable coefficients

Author keywords

Caputo derivatives; Linear fractional differential equations with variable coefficients; Riemann Liouville derivatives; Analytic solutions

Indexed keywords

COMPUTATIONAL METHODS; DIFFERENTIAL EQUATIONS; FUNCTION EVALUATION; NUMERICAL ANALYSIS;

EID: 34247380622     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.08.121     Document Type: Article
Times cited : (33)

References (12)
  • 1
    • 84941480860 scopus 로고
    • Some existence theorems on differential equations of generalized order
    • Al-Bassam M.A. Some existence theorems on differential equations of generalized order. J. Reine Angew. Math. 218 1 (1965) 70-78
    • (1965) J. Reine Angew. Math. , vol.218 , Issue.1 , pp. 70-78
    • Al-Bassam, M.A.1
  • 2
    • 34247396729 scopus 로고
    • Existence of series solution of a type of differential equation of generalized order
    • Al-Bassam M.A. Existence of series solution of a type of differential equation of generalized order. Bull. College Sci. Baghdad 9 1 (1966) 175-180
    • (1966) Bull. College Sci. Baghdad , vol.9 , Issue.1 , pp. 175-180
    • Al-Bassam, M.A.1
  • 3
    • 34247330311 scopus 로고
    • On the existence of series solution of differential equations of generalized order
    • Al-Bassam M.A. On the existence of series solution of differential equations of generalized order. Portugal Math. 29 1 (1970) 5-11
    • (1970) Portugal Math. , vol.29 , Issue.1 , pp. 5-11
    • Al-Bassam, M.A.1
  • 4
    • 85053578286 scopus 로고
    • On fractional calculus and its applications to the theory of ordinary differential equations of generalized order
    • Nonlinear Analysis and Applications, Marcel Dekker, New York
    • Al-Bassam M.A. On fractional calculus and its applications to the theory of ordinary differential equations of generalized order. Nonlinear Analysis and Applications. Lecture Notes Pure Appl. Math. 80 (1981), Marcel Dekker, New York 305-331
    • (1981) Lecture Notes Pure Appl. Math. , vol.80 , pp. 305-331
    • Al-Bassam, M.A.1
  • 5
    • 34247326666 scopus 로고
    • On fractional analysis and its applications
    • Manocha H.L. (Ed), Prentice-Hall, New Delhi
    • Al-Bassam M.A. On fractional analysis and its applications. In: Manocha H.L. (Ed). Modern Analysis and Its Applications (1983), Prentice-Hall, New Delhi 269-307
    • (1983) Modern Analysis and Its Applications , pp. 269-307
    • Al-Bassam, M.A.1
  • 7
    • 34247393937 scopus 로고    scopus 로고
    • B. Bonilla, M. Rivero, J.J. Trujillo, Theory of sequential linear differential equations. Applications. Preprint, Departamento de Análisis Matemático, Universidad de La Laguna, 2005.
  • 8
    • 0003031851 scopus 로고
    • Fractional derivatives and the cauchy problem for differential equations of fractional order
    • Dzherbashyan M.M., and Nersesyan A.B. Fractional derivatives and the cauchy problem for differential equations of fractional order. Izv. Akad. Nauk Armajan. SSR Ser. Mater. 3 1 (1968) 3-29
    • (1968) Izv. Akad. Nauk Armajan. SSR Ser. Mater. , vol.3 , Issue.1 , pp. 3-29
    • Dzherbashyan, M.M.1    Nersesyan, A.B.2
  • 9
    • 34247398888 scopus 로고
    • On the solution of certain type of differential equations with fractional derivatives
    • Nishimoto K. (Ed), College Engineering, Nihon University, Tokyo
    • Hadid S.B., and Grzaslewicz R. On the solution of certain type of differential equations with fractional derivatives. In: Nishimoto K. (Ed). International Conference on Fractional Calculus and Its Applications (Tokyo, 1989) (1989), College Engineering, Nihon University, Tokyo 52-55
    • (1989) International Conference on Fractional Calculus and Its Applications (Tokyo, 1989) , pp. 52-55
    • Hadid, S.B.1    Grzaslewicz, R.2
  • 10
    • 33847309315 scopus 로고    scopus 로고
    • Theory and Applications of Fractional Differential Equations
    • Elsevier Science Publishers, Amsterdam, London and New York
    • Kilbas A.A., Srivastava H.M., and Trujillo J.J. Theory and Applications of Fractional Differential Equations. North-Holland Mathematics Studies 204 (1998), Elsevier Science Publishers, Amsterdam, London and New York
    • (1998) North-Holland Mathematics Studies , vol.204
    • Kilbas, A.A.1    Srivastava, H.M.2    Trujillo, J.J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.