Analytical Approach to Fractional Order Newell-Whitehead-Segel Equations by Sumudu transform Iterative Method

R.K. Bairwa; Priyanka .; Sanjeev  Tyagi

doi:1061294/jiaps2023.2737

R.K. Bairwa Department of Mathematics, University of Rajasthan,Jaipur-302004, Rajasthan, India
Priyanka . Department of Mathematics, University of Rajasthan,Jaipur-302004, Rajasthan, India
Sanjeev Tyagi Department of Mathematics, Government College, Thanagazi (Alwar) -301022, Rajasthan, India

DOI: https://doi.org/1061294/jiaps2023.2737

Keywords: SumuduTransform, Iterative Method, Caputo fractional Derivative, Newell-Whitehead-Segel Equations, Fractional Differential Equations

Abstract

The present paper aims to solve the linear and nonlinear time-fractional Newell-Whitehead-Segel equations using the Sumudu transformiterative method. The time-fractional derivatives areconsidered in the Caputo sense.In addition, the approximate analytical solutions derived in series form are graphically represented in this investigation, and the solution graphs show that the approximate solution is closely related to the exact solution