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https://www.ias.ac.in/article/fulltext/pram/094/0137

Time-fractional differential equation; nonlinear differential equation; generalised Burgers–Fisher equation; Kudryashov method; power series.

This study deals with the generalised Kudryashov method (GKM) for the time-fractional generalised Burgers–Fisher equation (TF-GBF). Using the transformation of travelling wave, the TF-GBF is transformed into a non-linear ordinary differential equation (NLODE). Later, GKM has been applied in the resultant equation which is a novel technique to obtain exact solutions. These exact solutions are plotted and the power series solution is also derived.

RAMYA SELVARAJ¹ SWAMINATHAN VENKATRAMAN² DURGA DEVI ASHOK³ KRISHNAKUMAR KRISHNARAJA¹

1. Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam 612 001, India
2. Discrete Mathematics Laboratory, Department of Mathematics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam 612 001, India
3. Department of Physics, Srinivasa Ramanujan Centre, SASTRA Deemed to be University, Kumbakonam 612 001, India

Published

5 September 2020

Manuscript received

18 March 2020

Manuscript revised

14 May 2020

Accepted

1 July 2020

Final version published online

5 September 2020