Wellposedness and regularity of a nonlinear variable-order fractional wave equation

DOI10.1016/j.aml.2019.03.015zbMath1464.34026OpenAlexW2921089069MaRDI QIDQ2274701

Xiangcheng Zheng, Hong Wang

Publication date: 1 October 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.03.015

zbMATH Keywords

regularitywellposednessfractional wave equationvariable order

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Fractional ordinary differential equations (34A08)

Related Items

An indirect collocation method for variable-order fractional wave equations on uniform or graded meshes and its optimal error estimates, A fast method for variable-order space-fractional diffusion equations, Efficient time second-order SCQ formula combined with a mixed element method for a nonlinear time fractional wave model, Mixed finite element algorithm for a nonlinear time fractional wave model, Finite element algorithm with a second‐order shifted composite numerical integral formula for a nonlinear time fractional wave equation, A Fractional-Order Alternative for Phase-Lagging Equation, Space-dependent variable-order time-fractional wave equation: Existence and uniqueness of its weak solution, The temperature-dependent fractional evolutional model for sintered nanoscale silver films, Analysis and discretization of a variable-order fractional wave equation, The unique identification of variable-order fractional wave equations, Temporal Second-Order Finite Difference Schemes for Variable-Order Time-Fractional Wave Equations

Cites Work

• Unnamed Item
• Unnamed Item
• New integral inequalities with weakly singular kernel for discontinuous functions and their applications to impulsive fractional differential systems
• A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations
• Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term
• Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation