In this paper, we present an operational method for solving two fractional equations, namely, the Legendre and the Laguerre equations. Based on operational approach for the Laplace and Mellin, we obtain a particular solution as a generalized power series for both equations, where the fractional derivatives are defined in the Riemann-Liouville sense. We prove the existence and uniqueness of solutions via Banach fix point theorem.


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    Titel :

    An operational method to solve fractional differential equations


    Beteiligte:
    Rodrigues, M. M. (Autor:in) / Vieira, N. (Autor:in) / Sivasundaram, Seenith (Herausgeber:in)

    Kongress:

    10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014 ; 2014 ; Narvik, Norway


    Erschienen in:

    AIP Conference Proceedings ; 1637 , 1 ; 1143-1152


    Erscheinungsdatum :

    10.12.2014


    Format / Umfang :

    10 pages





    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch




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