In this paper we introduce two integral transforms involving the Legendre function in the kernel (see the operators and . 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.
Some properties of generalized fractional integral with Lengendre functions kernel’s
10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014 ; 2014 ; Narvik, Norway
AIP Conference Proceedings ; 1637 , 1 ; 882-888
2014-12-10
7 pages
Conference paper
Electronic Resource
English
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