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Variable-order time-fractional diffusion equation with Mittag-Leffler kernel: regularity analysis and uniqueness of determining variable order

Zeitschrift für angewandte Mathematik und Physik, 2023-04, Vol.74 (2), Article 64

2023

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Analysis and numerical approximation to time-fractional diffusion equation with a general time-dependent variable order

Nonlinear dynamics, 2021-06, Vol.104 (4), p.4203-4219

2021

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A time-fractional diffusion equation with space-time dependent hidden-memory variable order: analysis and approximation

BIT, 2021-12, Vol.61 (4), p.1453-1481

2021

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Discretization and index-robust error analysis for constrained high-index saddle dynamics on the high-dimensional sphere

Science China. Mathematics, 2023-10, Vol.66 (10), p.2347-2360

2023

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Wellposedness and smoothing properties of history-state-based variable-order time-fractional diffusion equations

Zeitschrift für angewandte Mathematik und Physik, 2020-02, Vol.71 (1), Article 34

2020

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A viscoelastic Timoshenko beam: Model development, analysis, and investigation

Journal of mathematical physics, 2022-06, Vol.63 (6)

2022

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The unique identification of variable-order fractional wave equations

Zeitschrift für angewandte Mathematik und Physik, 2021-06, Vol.72 (3), Article 100

2021

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Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation

Advances in computational mathematics, 2024-04, Vol.50 (2), Article 21

2024

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Well-posedness and regularity of Caputo–Hadamard fractional stochastic differential equations

Zeitschrift für angewandte Mathematik und Physik, 2021-08, Vol.72 (4), Article 141

2021

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Numerical analysis of nonlinear Volterra integrodifferential equations for viscoelastic rods and plates

Calcolo, 2024-09, Vol.61 (3), Article 50

2024

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A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model

Advances in computational mathematics, 2021-06, Vol.47 (3), Article 41

2021

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Error Estimate for Semi-implicit Method of Sphere-Constrained High-Index Saddle Dynamics

Chinese annals of mathematics. Serie B, 2023-09, Vol.44 (5), p.765-780

2023

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Convergence Analysis of Discrete High-Index Saddle Dynamics

SIAM journal on numerical analysis, 2022-01, Vol.60 (5), p.2731-2750

2022

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Analysis of viscoelastic flow with a generalized memory and its exponential convergence to steady state

Zeitschrift für angewandte Mathematik und Physik, 2022-04, Vol.73 (2), Article 53

2022

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An Error Estimate of a Modified Method of Characteristics Modeling Advective-Diffusive Transport in Randomly Heterogeneous Porous Media

CSIAM Transactions on Applied Mathematics, 2022-06, Vol.3 (1), p.172-190

2022

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Analysis of a Multi-Term Variable-Order Time-Fractional Diffusion Equation and Its Galerkin Finite Element Approximation

Journal of computational mathematics, 2022-06, Vol.40 (5), p.814-834

2022

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An Efficient Finite Volume Method for Nonlinear Distributed-Order Space-Fractional Diffusion Equations in Three Space Dimensions

Journal of scientific computing, 2019-09, Vol.80 (3), p.1395-1418

2019

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Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions

IMA journal of numerical analysis, 2021-04, Vol.41 (2), p.1522-1545

2021

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Numerical approximation for a nonlinear variable-order fractional differential equation via a collocation method

Mathematics and computers in simulation, 2022-05, Vol.195, p.107-118

Zheng, Xiangcheng

2022

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An Error Estimate of a Numerical Approximation to a Hidden-Memory Variable-Order Space-Time Fractional Diffusion Equation

SIAM journal on numerical analysis, 2020-01, Vol.58 (5), p.2492-2514

2020

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An Optimal-Order Numerical Approximation to Variable-order Space-fractional Diffusion Equations on Uniform or Graded Meshes

SIAM journal on numerical analysis, 2020-01, Vol.58 (1), p.330-352

2020

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A Hidden-Memory Variable-Order Time-Fractional Optimal Control Model: Analysis and Approximation

SIAM journal on control and optimization, 2021-01, Vol.59 (3), p.1851-1880

2021

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Analysis and discretization of a variable-order fractional wave equation

Communications in nonlinear science & numerical simulation, 2022-01, Vol.104, p.106047, Article 106047

2022

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Analysis and numerical solution of a nonlinear variable-order fractional differential equation

Advances in computational mathematics, 2019-12, Vol.45 (5-6), p.2647-2675

2019

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Numerical Approximation to a Variable-Order Time-Fractional Black–Scholes Model with Applications in Option Pricing

Computational economics, 2023-10, Vol.62 (3), p.1155-1175

2023

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Variable-order time-fractional diffusion equation with Mittag-Leffler kernel: regularity analysis and uniqueness of determining variable order

Analysis and numerical approximation to time-fractional diffusion equation with a general time-dependent variable order

A time-fractional diffusion equation with space-time dependent hidden-memory variable order: analysis and approximation

Discretization and index-robust error analysis for constrained high-index saddle dynamics on the high-dimensional sphere

Wellposedness and smoothing properties of history-state-based variable-order time-fractional diffusion equations

A viscoelastic Timoshenko beam: Model development, analysis, and investigation

The unique identification of variable-order fractional wave equations

Numerical analysis for optimal quadratic spline collocation method in two space dimensions with application to nonlinear time-fractional diffusion equation

Well-posedness and regularity of Caputo–Hadamard fractional stochastic differential equations

Numerical analysis of nonlinear Volterra integrodifferential equations for viscoelastic rods and plates

A characteristic finite element method for the time-fractional mobile/immobile advection diffusion model

Error Estimate for Semi-implicit Method of Sphere-Constrained High-Index Saddle Dynamics

Convergence Analysis of Discrete High-Index Saddle Dynamics

Analysis of viscoelastic flow with a generalized memory and its exponential convergence to steady state

An Error Estimate of a Modified Method of Characteristics Modeling Advective-Diffusive Transport in Randomly Heterogeneous Porous Media

Analysis of a Multi-Term Variable-Order Time-Fractional Diffusion Equation and Its Galerkin Finite Element Approximation

An Efficient Finite Volume Method for Nonlinear Distributed-Order Space-Fractional Diffusion Equations in Three Space Dimensions

Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions

Numerical approximation for a nonlinear variable-order fractional differential equation via a collocation method

An Error Estimate of a Numerical Approximation to a Hidden-Memory Variable-Order Space-Time Fractional Diffusion Equation

An Optimal-Order Numerical Approximation to Variable-order Space-fractional Diffusion Equations on Uniform or Graded Meshes

A Hidden-Memory Variable-Order Time-Fractional Optimal Control Model: Analysis and Approximation

Analysis and discretization of a variable-order fractional wave equation

Analysis and numerical solution of a nonlinear variable-order fractional differential equation

Numerical Approximation to a Variable-Order Time-Fractional Black–Scholes Model with Applications in Option Pricing

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