A NOTE ON A CLASS OF CONVOLUTION INTEGRAL EQUATIONS

This paper considers a class of new convolution integral equations whose kernels involve special functions such as the generalized Mittag-Le²er function and the extended Kummer hypergeometric function. Some basic properties of interconnection with the familiar Riemann-Liouville operators are obtaine...

Full description

Saved in:
Bibliographic Details
Published inHonam mathematical journal Vol. 37; no. 4; pp. 397 - 409
Main Authors LUO, MIN-JIE, RAINA, R.K
Format Journal Article
LanguageKorean
Published 호남수학회 31.12.2015
Subjects
extended hypergeometric function
fractional integral operator
convolution integral equation
Online AccessGet full text

Cover

More Information
Summary:This paper considers a class of new convolution integral equations whose kernels involve special functions such as the generalized Mittag-Le²er function and the extended Kummer hypergeometric function. Some basic properties of interconnection with the familiar Riemann-Liouville operators are obtained which are used in finding the solution of the main convolution integral equation. Several consequences are deduced from the main result by incorporating certain extended forms of hypergeometric functions in our present investigation.
Bibliography:THE HONAM MATHEMATICAL SOCIETY KWANGJU
KISTI1.1003/JNL.JAKO201502151148158
ISSN:1225-293X