Abstract. We analyze a variable-order time-fractional wave equation, which models, e.g., the vibration of a membrane in a viscoelastic environment.

In this paper we develop a new technique to prove a greatly improved polynomial growth of the solutions of the variable-order wave ordinary differential ...

This contribution considers the time‐fractional subdiffusion with a time‐dependent variable‐order fractional operator of order .

We prove the well-posedness and regularity of an optimal control model with pointwise constraints governed by a variable-order Caputo time-fractional ...

Time fractional order partial derivative equations are the generalization of the traditional integer order partial derivative equations, in which the time ...

We investigate a variably distributed-order time-fractional wave partial differential equation, which could accurately model, e.g., the viscoelastic behavior in ...

Apr 4, 2022 · The studies conducted on variable-order fractional calculus were primarily focused on the mathematical description of variable-order phenomena ...

We present a linearly implicit time-stepping method to linearize and discretize the equation in time, and present rigorous analysis for the convergence of ...

Variable-Order Fractional Partial Differential Equations: Analysis, Approximation and ... Wu, A fully discrete difference scheme for a diffusion-wave system. Appl ...

We analyze the well-posedness and smoothing properties of a variable-order time-fractional wave partial differential equation in multiple space dimensions.