Topological degree for some parabolic equations with Riemann-Liouville time-fractional derivatives
DOI:
https://doi.org/10.12775/TMNA.2024.017Keywords
time-fractional derivatives, Riemann-Liouville, weak solutions, topological degree, Faedo-Galerkin method, fractional problemsAbstract
This work tackles a class of nonlinear parabolic equations in divergence form having fractional time order derivatives. We consider parabolic equations involving second-order spacial operators with Riemann-Liouville time-fractional derivatives. We establish the existence and uniqueness of weak solutions to the studied models. Our theoretical approach relies essentially on the use of Leray-Schauder topological degree and involves some new technical estimates.References
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