Space-Dependent Fractional Evolution Equations: A New Approach
Analysis of PDEs
2025-02-19 v1
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.
Cite
@article{arxiv.2502.12730,
title = {Space-Dependent Fractional Evolution Equations: A New Approach},
author = {Tiago Augusto dos Santos Boza and Paulo Mendes de Carvalho Neto},
journal= {arXiv preprint arXiv:2502.12730},
year = {2025}
}