A  CLASS OF MODIFIED  PATHWAY-TYPE INTEGRAL  TRANSFORMS

Neeti  Ghiya; Vidya  Patil; RAVI SHANKER DUBEY

doi:10.5269/bspm.79019

A CLASS OF MODIFIED PATHWAY-TYPE INTEGRAL TRANSFORMS

Neeti Ghiya Department of Mathematics, RV College of Engineering, Bangalore, 560059, Karnataka, India
Patil Patil Department of Mathematics, RV College of Engineering, Bangalore, 560059, Karnataka, India
RAVI SHANKER DUBEY AMITY University Rajasthan, Jaipur, India

Abstract

The pathway integral transform is studied and introduced by Kumar in
2011, which is obtained in the sense of pathway model given by Mathai
2005. This paper introduce and present the study of modified pathway
integral transform. It is generalization of pathway model of Mathai. The
Mellin and Laplace transforms of modified pathway transforms and the
composition formulae for the various fractional operators with the modified pathway transform are provided. Presented modified pathway trans
form results are generalization of many existing results in the literature.