Asymptotics and large time behaviors of fractional evolution equations with temporal \(\psi \)-Caputo derivative

DOI10.1016/J.MATCOM.2022.01.023OpenAlexW4210729001MaRDI QIDQ2670421

Yanyan Li

Publication date: 11 March 2022

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2022.01.023

zbMATH Keywords

asymptotic behaviorlarge time behaviorfractional evolution equationspecial function\( \psi \)-Caputo derivative

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Related Items (2)

The finite-time blow-up for semilinear fractional diffusion equations with time \(\psi\)-Caputo derivative ⋮ ψ$$ \psi $$‐Caputo type time‐delay Langevin equations with two general fractional orders

Cites Work

• The asymptotics of the solutions to the anomalous diffusion equations
• Hitchhiker's guide to the fractional Sobolev spaces
• Representation of solutions and large-time behavior for fully nonlocal diffusion equations
• The blow-up and global existence of solution to Caputo-Hadamard fractional partial differential equation with fractional Laplacian
• Asymptotic behaviors of solution to partial differential equation with Caputo-Hadamard derivative and fractional Laplacian: hyperbolic case
• Well-posedness results for fractional semi-linear wave equations
• Asymptotic behaviours of solution to Caputo–Hadamard fractional partial differential equation with fractional Laplacian
• Stability and \(\psi\)-algebraic decay of the solution to \(\psi\)-fractional differential system
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