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<p>In this work, the time-fractional blood flow and motion of the arterial wall model is investigated for extracting solitary-wave solutions. The model is also investigated for stability via bifurcation analysis and chaotic behaviors. To do this, we used the extended generalized Riccati equation mapping method, which is a systematic approach to extract solitary-wave solutions. Different kinds of solitary waves, such as lump, bright, and dark soliton, were obtained by applying the extended generalized Riccati equation mapping approach in conjunction with the conformal fractional derivative and fractional wave transformation. To better understand the physical behavior of these solutions, we produced 3D and contour graphics for appropriate parameter values. Furthermore, we investigate the qualitative dynamics of the model by using bifurcation analysis and chaotic behaviors. In order to comprehend the behavior of equilibrium points and chaotic behaviors, we presented phase portraits for several cases.</p>

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Bifurcation analysis, chaotic behavior, and solitary-wave structures for a time-fractional blood flow model

  • 期刊论文

  • 发表日期：

    2026年4月4日

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  • Makhdoom Ali,
  • Jorge E. Macías-Díaz,
  • Nauman Ahmed,
  • Naveed Shahid,
  • Muhammad Z. Baber,
  • Siegfried Macías

摘要

In this work, the time-fractional blood flow and motion of the arterial wall model is investigated for extracting solitary-wave solutions. The model is also investigated for stability via bifurcation analysis and chaotic behaviors. To do this, we used the extended generalized Riccati equation mapping method, which is a systematic approach to extract solitary-wave solutions. Different kinds of solitary waves, such as lump, bright, and dark soliton, were obtained by applying the extended generalized Riccati equation mapping approach in conjunction with the conformal fractional derivative and fractional wave transformation. To better understand the physical behavior of these solutions, we produced 3D and contour graphics for appropriate parameter values. Furthermore, we investigate the qualitative dynamics of the model by using bifurcation analysis and chaotic behaviors. In order to comprehend the behavior of equilibrium points and chaotic behaviors, we presented phase portraits for several cases.