Abstract
In this paper, we define fractional frequency Sumudu transform by inverse α−difference operator. Here we present certain new results on Sumudu transform of polynomial factorial,trigonometric and geometric functions using shift value. Finally, we provide the relation between convolution product and fractional Sumudu transform of polynomial and exponential function.Numerical results are verified and analysed the outcomes by graphs.
Highlights
There are several integral transforms such as the Laplace, Millen, Hankel and Fourier transforms that are used to solve differential equations which apper in many fields of science and engineering
We proposed a new type of Sumudu transform with shift value and the properties are discussed
The following lemma shows that the relation between convolution product and fractional Sumudu transform with shift value
Summary
There are several integral transforms such as the Laplace, Millen, Hankel and Fourier transforms that are used to solve differential equations which apper in many fields of science and engineering. In [17], the authors applied the Sumudu transform to fractional differential equations which have many applications in the fields of science (see [19] and the references therein). Begin with classical definition of Laplace transform an arbitrary time scales, the concept of the h−Laplace and the discrete Laplace transformed were specified in [15]. It was initiated by Stefan Hilger [16]. The recent applications of fractional Laplace transform using difference equation are found in [1, 2, 20, 21, 22]. Several results are derived to validate the definition and the relation between convolution product and sumudu transform are played a vital role using α-difference operator
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
