带有非等度连续半群的分数阶发展方程温和解的存在性OA
Existence of Mild Solutions of Fractional Evolution Equations with Nonequicontinuous Semigroups
本文研究分数阶半线性初始值问题在有界和无界区间上温和解的存在性.通过使用非紧性测度,Fréchet空间和连续模技巧,我们证明了结论.
This study investigates the existence of mild solutions both on a bounded and on an unbounded interval of the fractional semilinear initial value problems.By utilizing the techniques of measures of noncompactness,Fréchet spaces and the modulus of continuity,we prove the conclusions.
琚纪晗;凡震彬;李刚
扬州大学数学科学学院,江苏 扬州 225009扬州大学数学科学学院,江苏 扬州 225009扬州大学数学科学学院,江苏 扬州 225009
数理科学
分数阶发展方程温和解非紧性测度不动点定理Fréchet空间
Fractional evolution equationMild solutionMeasure of noncompactnessFixed-point theoremFréchet space
《应用数学》 2026 (3)
639-650,12
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