In this paper we introduce two integral transforms involving the Legendre function in the kernel (see the operators I 0+ α,β,μ,v and I α,β,μ,v . defined below) which generalize the classical Liouville fractional integrals. Then, we study their boundedness as operators mapping the space Lv,r into the spaces Lv−α,r. Moreover, we calculate the Mellin transform of the fractional integrals presented in this paper.


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    Titel :

    Some properties of generalized fractional integral with Lengendre functions kernel’s


    Beteiligte:
    Rodrigues, M. M. (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 ; 882-888


    Erscheinungsdatum :

    10.12.2014


    Format / Umfang :

    7 pages





    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



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