A view of solitary wave solutions to the fractional DNA Peyrard-Bishop equation via a new approach

Abstract

Abstract In this study, the fractional impacts of the beta derivative and M-truncated derivative are examined on the DNA Peyrard-Bishop dynamic model equation. To obtain solitary wave solutions for the model, the Sardar sub-equation approach is utilized. For a stronger comprehension of the model, the acquired solutions are graphically illustrated together with the fractional impacts of the beta and M-truncated derivatives. In addition to being simple and not needing any complicated computations, the approach has the benefit of getting accurate results.