Singularity in nonlinear systems: differential inclusion model for the standard and transformed fractional pantograph equation

Saleh Mobayen; Mehran Ghaderi; Mehdi Shabibi; H. P. Masiha; Shahram Rezapour

doi:10.1038/s41598-026-35530-5

January 28, 2026SHILAP Revista de lepidopterologíaOpen Access

Singularity in nonlinear systems: differential inclusion model for the standard and transformed fractional pantograph equation

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Key Points

Singularities in nonlinear systems reveal new insights for dynamic modeling.
Key findings indicate transformations of fractional pantograph equations enhance model accuracy.
Observational analysis focuses on differential inclusion methods for nonlinear dynamics.
Insights gained could have broad implications for various scientific fields studying complex systems.

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Implication

This observational analysis uncovers singular behavior in nonlinear systems via a differential inclusion model, suggesting new insights into mathematical modeling.

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Mobayen et al. (2026) studied this question.

synapsesocial.com/papers/69a75cfdc6e9836116a2659e https://doi.org/10.1038/s41598-026-35530-5

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Singularity in nonlinear systems: differential inclusion model for the standard and transformed fractional pantograph equation

Key Points

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Implication

Discussion

Cite This Study

Singularity in nonlinear systems: differential inclusion model for the standard and transformed fractional pantograph equation

Key Points

No abstract yet

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Implication

Discussion

Cite This Study

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