Time-fractional shallow water wave equation with fuzzy uncertainty DOI
Mrutyunjaya Sahoo, Snehashish Chakraverty

Physics of Fluids, Journal Year: 2025, Volume and Issue: 37(5)

Published: May 1, 2025

This work aims to derive approximate analytical solutions for the Simplified Modified Camassa–Holm (SMCH) equation incorporating time-fractional derivatives in Caputo sense. is relevant modeling shallow water wave propagation, with significant application mathematical physics and engineering sciences. While classical formulations assume crisp variables parameters, real-world scenarios often involve inherent imprecision uncertainty. To address this, fuzzy uncertainty incorporated into formulation by introducing parameters initial conditions. A key novelty of this lies fractional reduced differential transform method obtain both precise SMCH equation. Unlike existing methods, our approach effectively handles fractional-order dynamics under assess reliability discussed method, a comparative analysis conducted between special case solutions. The obtained are presented forms, comprehensive two- three-dimensional graphical representations enhance interpretation their physical significance across various parameter values. Additionally, tabular results provided offer clearer understanding convergence behavior solution.

Language: Английский

Time-fractional shallow water wave equation with fuzzy uncertainty DOI
Mrutyunjaya Sahoo, Snehashish Chakraverty

Physics of Fluids, Journal Year: 2025, Volume and Issue: 37(5)

Published: May 1, 2025

This work aims to derive approximate analytical solutions for the Simplified Modified Camassa–Holm (SMCH) equation incorporating time-fractional derivatives in Caputo sense. is relevant modeling shallow water wave propagation, with significant application mathematical physics and engineering sciences. While classical formulations assume crisp variables parameters, real-world scenarios often involve inherent imprecision uncertainty. To address this, fuzzy uncertainty incorporated into formulation by introducing parameters initial conditions. A key novelty of this lies fractional reduced differential transform method obtain both precise SMCH equation. Unlike existing methods, our approach effectively handles fractional-order dynamics under assess reliability discussed method, a comparative analysis conducted between special case solutions. The obtained are presented forms, comprehensive two- three-dimensional graphical representations enhance interpretation their physical significance across various parameter values. Additionally, tabular results provided offer clearer understanding convergence behavior solution.

Language: Английский

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