FRACTIONAL KINETIC EQUATIONS INVOLVING THE MITTAG-LEFFLER (p, s, k) FUNCTION VIA SUMUDU TRANSFORM
1Meena Kumari Gurjar, 2Preeti Chhattry and 3Subhash Chandra Shrivastava
1Department of Mathematics and Statistics
JNV University Jodhpur-342001, Rajasthan, India
2C.V. Raman University Kota, Bilaspur-495113, Chhattisgarh, India
3Rungta College of Engineering and Techonology, Bhilai-490024, Chhattisgarh, India.
Email:mailto:firstname.lastname@example.org, email@example.com, firstname.lastname@example.org
(Received: April 03,2021 ; Revised in final form : May 27, 2021)
In this paper, we derive the solutions for fractional kinetic equations including the Mittag-Leffler function with the help of Laplace transform method. Further, the same fractional kinetic equation is solved by using the Sumudu transform. The results presented are in compact forms in the form of various type of Mittag-Leffler function etc. are also considered. We establish some corollary as special cases. Some new and known results are our findings.
2020 Mathematical Sciences Classification: 33C60, 82C31.
Keywords and Phrases: Fractional kinetic equations, Laplace transform, Sumudu transform, Riemann-Liuoville fractional integral operator, Mittag-Leffler function.