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arXiv · 2502.12730

Space-Dependent Fractional Evolution Equations: A New Approach

Tiago Augusto dos Santos Boza·Paulo Mendes de Carvalho Neto
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Abstract

Inspired by the works of \cite{baz2} and \cite{kian}, this study develops an abstract framework for analyzing differential equations with space-dependent fractional time derivatives and bounded operators. Within this framework, we establish existence and uniqueness results for solutions in both linear and semilinear settings. Our findings provide deeper insights into how spatially varying fractional derivatives influence the behavior of differential equations, shedding light on their mathematical properties and potential applications.

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Tiago Augusto dos Santos Boza, Paulo Mendes de Carvalho Neto. 2025-02-18. Space-Dependent Fractional Evolution Equations: A New Approach. https://arxiv.org/abs/2502.12730

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