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Approximate inversion for Abel integral operators of variable exponent and applications to fractional Cauchy problems

Fractional calculus & applied analysis, 2022-08, Vol.25 (4), p.1585-1603

Zheng, Xiangcheng

2022

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An Analysis and Global Identification of Smoothless Variable Order of a Fractional Stochastic Differential Equation

Fractal and fractional, 2023-12, Vol.7 (12), p.850

2023

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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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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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A variably distributed-order time-fractional diffusion equation: Analysis and approximation

Computer methods in applied mechanics and engineering, 2020-08, Vol.367, p.113118, Article 113118

2020

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Uniquely identifying the variable order of time-fractional partial differential equations on general multi-dimensional domains

Applied mathematics in science and engineering, 2021-10, Vol.29 (10), p.1401-1411

2021

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Well-posedness of fractional differential equations with variable-order Caputo-Fabrizio derivative

Chaos, solitons and fractals, 2020-09, Vol.138, p.109966, Article 109966

2020

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Eliminating solution singularity of variably distributed-order time-fractional diffusion equation via strongly singular initial distribution

Chaos, solitons and fractals, 2023-09, Vol.174, p.113908, Article 113908

2023

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Strong convergence of a Euler-Maruyama scheme to a variable-order fractional stochastic differential equation driven by a multiplicative white noise

Chaos, solitons and fractals, 2021-01, Vol.142, p.110392, Article 110392

2021

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Analysis and Simulation of Optimal Control for a Two-Time-Scale Fractional Advection-Diffusion-Reaction Equation with Space-Time-Dependent Order and Coefficients

Multiscale modeling & simulation, 2023-01, Vol.21 (4), p.1690-1716

2023

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Analysis of a fractional viscoelastic Euler-Bernoulli beam and identification of its piecewise continuous polynomial order

Fractional calculus & applied analysis, 2023-10, Vol.26 (5), p.2337-2360

2023

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A Modified Time-Fractional Diffusion Equation and Its Finite Difference Method: Regularity and Error Analysis

Fractional calculus & applied analysis, 2019-08, Vol.22 (4), p.1014-1038

2019

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WELL-POSEDNESS AND REGULARITY OF CAPUTO–HADAMARD TIME-FRACTIONAL DIFFUSION EQUATIONS

Fractals (Singapore), 2022-02, Vol.30 (1)

2022

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Analysis and Fast Approximation of a Steady-State Spatially-Dependent Distributed-order Space-Fractional Diffusion Equation

Fractional calculus & applied analysis, 2021-10, Vol.24 (5), p.1477-1506

2021

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Approximate inversion for Abel integral operators of variable exponent and applications to fractional Cauchy problems

An Analysis and Global Identification of Smoothless Variable Order of a Fractional Stochastic Differential Equation

Analysis and discretization of a variable-order fractional wave equation

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

A variably distributed-order time-fractional diffusion equation: Analysis and approximation

Uniquely identifying the variable order of time-fractional partial differential equations on general multi-dimensional domains

Well-posedness of fractional differential equations with variable-order Caputo-Fabrizio derivative

Eliminating solution singularity of variably distributed-order time-fractional diffusion equation via strongly singular initial distribution

Strong convergence of a Euler-Maruyama scheme to a variable-order fractional stochastic differential equation driven by a multiplicative white noise

Analysis and Simulation of Optimal Control for a Two-Time-Scale Fractional Advection-Diffusion-Reaction Equation with Space-Time-Dependent Order and Coefficients

Analysis of a fractional viscoelastic Euler-Bernoulli beam and identification of its piecewise continuous polynomial order

A Modified Time-Fractional Diffusion Equation and Its Finite Difference Method: Regularity and Error Analysis

WELL-POSEDNESS AND REGULARITY OF CAPUTO–HADAMARD TIME-FRACTIONAL DIFFUSION EQUATIONS

Analysis and Fast Approximation of a Steady-State Spatially-Dependent Distributed-order Space-Fractional Diffusion Equation

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