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- Title
On the soliton solutions to the density-dependent space time fractional reaction–diffusion equation with conformable and M-truncated derivatives.
- Authors
Esen, Handenur; Ozdemir, Neslihan; Secer, Aydin; Bayram, Mustafa; Sulaiman, Tukur Abdulkadir; Ahmad, Hijaz; Yusuf, Abdullahi; Albalwi, M. Daher
- Abstract
In this manuscript, the density-dependent space-time fractional reaction–diffusion equation in the sense of conformable and M-truncated derivatives (CMD) is presented. Through fractional transformation, these nonlinear fractional equations can be converted into nonlinear ordinary differential equations (NLPDEs). Besides, with the help of the Riccati–Bernoulli sub-ODE method (RBM), new exact solutions for these nonlinear fractional equations are produced. In order to construct the comparative analysis between different type fractional derivatives, graphical representations are demonstrated for chosen values of unknown parameters.
- Subjects
NONLINEAR differential equations; ORDINARY differential equations; REACTION-diffusion equations; NONLINEAR equations; RIESZ spaces
- Publication
Optical & Quantum Electronics, 2023, Vol 55, Issue 10, p1
- ISSN
0306-8919
- Publication type
Article
- DOI
10.1007/s11082-023-05109-9