The New Conformable Methods to Solve Conformable Time- Fractional Generalized Burgers Equation with Proportional Delay

Authors : Halil Hüseyin AVCI, Halil ANAÇ

Pages : 315-329

View : 32 | Download : 62

Publication Date : 2023-08-31

Article Type : Research Paper

Abstract :In this article, two novel methods called conformable q-Mohand homotopy analysis transform method insert ignore into journalissuearticles values(Cq-MHATM); and conformable Mohand Adomian decomposition method insert ignore into journalissuearticles values(CMADM); are utilized to examine the novel numerical solutions for nonlinear conformable time-fractional generalized Burgers equation with proportional delay. The first of the two new methods proposed, Cq-MHATM, is a hybrid method that combines q-homotopy analysis transform method and Mohand transform in the sense of comformable derivative. The other method, CMADM is also a hybrid method that combines Adomian decomposition method and Mohand transform in the sense of comformable derivative. The computer simulations were worked out to prove that the proposed methods work and are trusted. When the exact solutions are compared to the solutions that were found, it is seen that both of the new techniques are simple, powerful, and work well to solve nonlinear conformable time-fractional partial differential equation with proportional delay.
Keywords : Uyumlu zaman kesirli mertebeden genelleştirilmiş Burgers denklemi, Uyumlu Mohand Adomian ayrıştırma metodu, Uyumlu Mohand dönüşümü