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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    Title :

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


    Contributors:

    Conference:

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


    Published in:

    AIP Conference Proceedings ; 1637 , 1 ; 882-888


    Publication date :

    2014-12-10


    Size :

    7 pages





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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