Well-posedness and regularity of Caputo-Hadamard fractional stochastic differential equations
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Publication:2035761
DOI10.1007/s00033-021-01566-yzbMath1471.34024OpenAlexW3175907543WikidataQ115389283 ScholiaQ115389283MaRDI QIDQ2035761
Zhiwei Yang, Xiangcheng Zheng, Hong Wang
Publication date: 25 June 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-021-01566-y
Ordinary differential equations and systems with randomness (34F05) Fractional ordinary differential equations (34A08)
Related Items
WELL-POSEDNESS AND REGULARITY OF CAPUTO–HADAMARD TIME-FRACTIONAL DIFFUSION EQUATIONS, Some results on the study of Caputo-Hadamard fractional stochastic differential equations, Ulam type stability for Caputo–Hadamard fractional functional stochastic differential equations with delay, Ulam–Hyers stability of pantograph fractional stochastic differential equations, Numerical approximation and error analysis for Caputo-Hadamard fractional stochastic differential equations
Cites Work
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- On a model for the evolution of morphogens in growing tissue. III: \(\theta < \log(2)\)
- Stochastic differential equations. An introduction with applications
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- On a model for the evolution of morphogens in a growing tissue II: \(\theta = \log (2)\) case
- Numerical methods for the nonlocal wave equation of the peridynamics
- Strong convergence of a Euler-Maruyama scheme to a variable-order fractional stochastic differential equation driven by a multiplicative white noise
- Analysis of a nonlinear variable-order fractional stochastic differential equation
- A variably distributed-order time-fractional diffusion equation: analysis and approximation
- Singularity formation in fractional Burgers' equations
- On the kinetics of Hadamard-type fractional differential systems
- A fast finite volume method for conservative space-time fractional diffusion equations discretized on space-time locally refined meshes
- A new collection of real world applications of fractional calculus in science and engineering
- Finite difference methods for Caputo-Hadamard fractional differential equations
- Long time behavior of a model for the evolution of morphogens in a growing tissue. II: \( \theta < \log 2\)
- Long time behavior of a model for the evolution of morphogens in a growing tissue
- Superconvergence of \(C^0-Q^k\) finite element method for elliptic equations with approximated coefficients
- Vanishing viscosity for traffic on networks with degenerate diffusivity
- A difference method for the McKean-Vlasov equation
- Numerical methods for stochastic partial differential equations with white noise
- Wellposedness and regularity of the variable-order time-fractional diffusion equations
- Brownian Motion, Martingales, and Stochastic Calculus
- On a Model for the Evolution of Morphogens in a Growing Tissue
- A Generalized Spectral Collocation Method with Tunable Accuracy for Variable-Order Fractional Differential Equations
- Comb Model with Slow and Ultraslow Diffusion
- Regularity of the solution to 1-D fractional order diffusion equations
- Wellposedness of a nonlinear peridynamic model
- A Fast Finite Volume Method on Locally Refined Meshes for Fractional Diffusion Equations
- A Hidden-Memory Variable-Order Time-Fractional Optimal Control Model: Analysis and Approximation
- Optimal-order error estimates of finite element approximations to variable-order time-fractional diffusion equations without regularity assumptions of the true solutions
- An Error Estimate of a Numerical Approximation to a Hidden-Memory Variable-Order Space-Time Fractional Diffusion Equation
- A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator
- ON HADAMARD FRACTIONAL CALCULUS