Implicit Fractional Differential Equations in Banach Spaces via Picard and Weakly Picard Operator Theory

zbMath1493.34031arXiv2007.09139MaRDI QIDQ5021248

Sagar T. Sutar, Kishor D. Kucche

Publication date: 12 January 2022

Full work available at URL: https://arxiv.org/abs/2007.09139

zbMATH Keywords

existence and uniquenesscontinuous dependenceimplicit fractional differential equationsPicard operators and weakly Picard operators

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear differential equations in abstract spaces (34G20) Applications of operator theory to differential and integral equations (47N20) Fractional ordinary differential equations (34A08)

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