Scientific reports
Singularity in nonlinear systems: differential inclusion model for the standard and transformed fractional pantograph equation.
Saleh Mobayen, Mehran Ghaderi, Mehdi Shabibi, Hashem Parvaneh Masiha, Shahram Rezapour
Published: 202610.1038/s41598-026-35530-5
Abstract
This work develops the first unified differential inclusion model for singular fractional pantograph equations, a class of problems that simultaneously exhibit proportional delays, memory effects, singular behavior, and modeling uncertainties. While…
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