<abstract xmlns="http://www.w3.org/1999/xhtml"><p> The present paper introduces q-analogues of the Sumudu transform and derives some distinct properties, for example its convergence conditions and certain interesting connection theorems involving q-Laplace transforms. Furthermore, certain fundamental properties of q-Sumudu transforms like, linearity, shifting theorems, differentiation and integration etc. have also been investigated. An attempt has also been made to obtain the convolution theorem for the q-Sumudu transform of a function which can be expressed as a convergent infinite series.</p></abstract>

The present paper introduces q-analogues of the Sumudu transform and derives some distinct properties, for example its convergence conditions and certain interesting connection theorems involving q-Laplace transforms. Furthermore, certain fundamental properties of q-Sumudu transforms like, linearity, shifting theorems, differentiation and integration etc. have also been investigated. An attempt has also been made to obtain the convolution theorem for the q-Sumudu transform of a function which can be expressed as a convergent infinite series.

On q-Analogues of Sumudu Transform

Department of Mathematics, Marmara University, TR-34722, Kadiköy, Istanbul, Turkey

Department of Basic Science (Mathematics), M. P. University of Agriculture and Technology, Udaipur-313001 (Rajasthan), India

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

{"article-title":"On q-Analogues of Sumudu Transform"}

The present paper introduces q-analogues of the Sumudu transform and derives some distinct properties, for example its convergence conditions and certain...

On q-Analogues of Sumudu Transform

Published Online: Jul 30, 2013

Page range: 239 - 259

DOI: https://doi.org/10.2478/auom-2013-0016

This content is open access.