Open AccessON THEOREMS CONNECTING THE LAPLACE TRANSFORM AND A GENERALIZED FRACTIONAL INTEGRAL OPERATOR
Author(s) -
Kirti Gupta,
Sumit Goyal,
Tariq O. Salim
Publication year - 1998
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.29.1998.4261
Subject(s) - mathematics , laplace transform , extension (predicate logic) , fractional calculus , operator (biology) , class (philosophy) , unification , integral transform , pure mathematics , set (abstract data type) , algebra over a field , mathematical analysis , computer science , biochemistry , chemistry , repressor , artificial intelligence , transcription factor , gene , programming language
The aim of the present paper is to establish two theorems connecting the Laplace transform and a certain class of generalized fractional integral operators involving a generalized polynom叫 set. These theorems provide .usful extension and unification of a number of (known or new) results for vaious classes of fractional integral operators. Several interesting applications of the main theorems are also mentioned briefly.