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A NOTE ON A CLASS OF CONVOLUTION INTEGRAL EQUATIONS
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  • Journal title : Honam Mathematical Journal
  • Volume 37, Issue 4,  2015, pp.397-409
  • Publisher : The Honam Mathematical Society
  • DOI : 10.5831/HMJ.2015.37.4.397
 Title & Authors
A NOTE ON A CLASS OF CONVOLUTION INTEGRAL EQUATIONS
LUO, MIN-JIE; RAINA, R.K.;
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 Abstract
This paper considers a class of new convolution integral equations whose kernels involve special functions such as the generalized Mittag-Leffler function and the extended Kummer hypergeometric function. Some basic properties of interconnection with the familiar Riemann-Liouville operators are obtained which are used in fiding 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.
 Keywords
convolution integral equation;fractional integral operator;extended hypergeometric function;
 Language
English
 Cited by
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