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

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

2024

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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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A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape

Japan journal of industrial and applied mathematics, 2023, Vol.40 (3), p.1677-1693

2023

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A Multiscale and Multipath Network With Boundary Enhancement for Building Footprint Extraction from Remotely Sensed Imagery

IEEE journal of selected topics in applied earth observations and remote sensing, 2022, Vol.15, p.1-14

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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Wellposedness and regularity of the variable-order time-fractional diffusion equations

Journal of mathematical analysis and applications, 2019-07, Vol.475 (2), p.1778-1802

2019

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A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape

Japan journal of industrial and applied mathematics, 2023-09, Vol.40 (3), p.1677-1693

2023

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An equivalent formulation of Sonine condition

Applied mathematics letters, 2024-07, Vol.153, p.109069, Article 109069

Zheng, Xiangcheng

2024

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RFE-LinkNet: LinkNet With Receptive Field Enhancement for Road Extraction From High Spatial Resolution Imagery

IEEE access, 2023, Vol.11, p.106412-106422

2023

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Logarithmic transformation between (variable-order) Caputo and Caputo–Hadamard fractional problems and applications

Applied mathematics letters, 2021-11, Vol.121, p.107366, Article 107366

Zheng, Xiangcheng

2021

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Analysis of a subdiffusion model with a variable-order fractional calibration term

Applied mathematics letters, 2023-08, Vol.142, p.108660, Article 108660

Zheng, Xiangcheng

2023

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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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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

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

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

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

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

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

Convergence Analysis of Discrete High-Index Saddle Dynamics

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

A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape

A Multiscale and Multipath Network With Boundary Enhancement for Building Footprint Extraction from Remotely Sensed Imagery

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

Wellposedness and regularity of the variable-order time-fractional diffusion equations

A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape

An equivalent formulation of Sonine condition

RFE-LinkNet: LinkNet With Receptive Field Enhancement for Road Extraction From High Spatial Resolution Imagery

Logarithmic transformation between (variable-order) Caputo and Caputo–Hadamard fractional problems and applications

Analysis of a subdiffusion model with a variable-order fractional calibration term

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

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