**InternationaleJournals**

**The Mellin Type Integral Transform (MTIT) in the range(a,)**

**Ramchandra
M. Pise**

Department of Mathematics, (A.S.&H.)*, R.G.I.T. Versova, Andheri (W),Mumbai-53, India Email.piserm@rediffmail.com

**ABSTRACT**

In this paper Laplace operators are used to solve The Mellin Type integral transform in the interval a to , a work which is put forwarded to understand how Laplace operators would leads to properties , theorems ,derivatives and applications to the Mellin Type Integral Transform in this range.The main view of my work is to give procedure from Laplace Transform that turns out to be valid for for the Mellin Type Integral Transform in the range a to . ,where a is positive ,.this Integral Transform ,can be a technique for solving boundary and initial value problems. The results have been modified by applying suitable functions which leads to the results in The Mellin Type Integral Transform for the interval a to To illustrate the advantages and use of this transformation, some important differential equations have been solved at the end .the Matlab programmes are given for the basic and other formulae.The graphical concept is represented by assigning different values to the parameter by using tools of Matlab which gives a brighter view of applications to the Mellin Type Integral Transforms.

**Keywords**:

**AMS Mathematical Subject Classification : **44A10,44A35, 44A05,
92D25, 46F12, 44A15, 35G15 , 44A85

**International
eJournal of Mathematical Sciences, Technology and Humanities**

**Volume** **2**,
**Issue** **5**, **Pages**: ** **811 - 829