Observations of fractional effects of β-derivative and M-truncated derivative for space time fractional Phi-4 equation via two analytical techniques

Ghazala Akram, Maasoomah Sadaf and Iqra Zainab

Chaos, Solitons & Fractals, 2022, vol. 154, issue C

Abstract: The presented work deals with the investigation of space time fractional Phi-4 model which has great importance in particle and nuclear physics. Two eminent techniques, namely, the extended (G′G2)-expansion method and the modified auxiliary equation (MAE) method are utilized to construct the traveling wave solutions of fractional Phi-4 model. The fractional effects on the model are studied using the β-derivative and M-truncated derivative. The obtained results include trigonometric and hyperbolic functions with dark and periodic traveling wave behaviors. Comparison of fractional effects for the β-derivative and M-truncated derivative is illustrated through graphs by assigning particular values to fractional parameter. The obtained results will be helpful to understand the dynamical framework of time fractional Phi-4 model in the related physical phenomena.

Keywords: Space time fractional Phi-4 model; Extended (G′G2)−expansion method; Modified auxiliary equation method; β-derivative; M-truncated derivative (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:154:y:2022:i:c:s0960077921009991

DOI: 10.1016/j.chaos.2021.111645

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