Asymptotic behaviours of solution to Caputo–Hadamard fractional partial differential equation with fractional Laplacian

DOI10.1080/00207160.2020.1744574zbMath1492.35414OpenAlexW3010775537WikidataQ114101718 ScholiaQ114101718MaRDI QIDQ5031222

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Publication date: 18 February 2022

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2020.1744574

zbMATH Keywords

fundamental solutionasymptotic behaviourdecay estimatefractional LaplacianFox \(H\)-functionCaputo-Hadamard derivative

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)

Related Items (13)

Finite time stability and sliding mode control for uncertain variable fractional order nonlinear systems ⋮ Asymptotics and large time behaviors of fractional evolution equations with temporal \(\psi \)-Caputo derivative ⋮ A modified walk‐on‐sphere method for high dimensional fractional Poisson equation ⋮ Existence and uniqueness of solution for a nonlinear fractional problem involving the distributional Riesz derivative ⋮ On blow-up for a time-space fractional partial differential equation with exponential kernel in temporal derivative ⋮ Blowup for semilinear fractional diffusion system with Caputo–Hadamard derivative ⋮ Mathematical analysis and the local discontinuous Galerkin method for Caputo-Hadamard fractional partial differential equation ⋮ Asymptotic behaviors of solution to partial differential equation with Caputo-Hadamard derivative and fractional Laplacian: hyperbolic case ⋮ Logarithmic transformation between (variable-order) Caputo and Caputo-Hadamard fractional problems and applications ⋮ Unnamed Item ⋮ Stability and logarithmic decay of the solution to Hadamard-type fractional differential equation ⋮ The blow-up and global existence of solution to Caputo-Hadamard fractional partial differential equation with fractional Laplacian ⋮ Some Simpson type fractional integral inequalities for functions of bounded variation

Cites Work

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