Yeqing Shan

ORCID: 0000-0001-8889-6582
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About
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Research Areas
  • Fractional Differential Equations Solutions
  • Nonlinear Waves and Solitons
  • Spectral Theory in Mathematical Physics
  • Stability and Controllability of Differential Equations
  • Differential Equations and Numerical Methods
  • Nonlinear Differential Equations Analysis
  • Advanced Mathematical Physics Problems
  • Gas Dynamics and Kinetic Theory
  • Stochastic processes and financial applications
  • Numerical methods for differential equations

Nanjing University of Information Science and Technology
2021-2024

In this paper, some new blow-up criteria are given for a single equation, and the problem of solution nonlocal equation is solved by changing into system equations introducing an auxiliary function. addition, theory ordinary differential extended to partial using first eigenvalue theory. The results show that Liouville-Caputo Caputo-Hadamard fractional different.

10.2298/fil2404305s article EN Filomat 2024-01-01

We introduce a new inequality similar to the fractional Poincar$ \acute{e} $ and obtain continuous data assimilation feedback control of reaction-diffusion equations. The scheme has finite number determining parameters. is obtained based on finite-dimensional controls.

10.3934/eect.2024020 article EN Evolution equations and control theory 2024-01-01

10.1016/j.aml.2021.107879 article EN Applied Mathematics Letters 2021-12-24

This paper considers the initial-boundary value problem of Caputo time-fractional three-dimensional primitive equations for oceanic and atmospheric. Referring to Cao-Titi (Ann. Math. 245-267, 2007), we consider results case obtain global well-posedness equations. It is proved that time fractional atmospheric ocean equation still valid.

10.22541/au.169279389.96336752/v1 preprint EN cc-by Authorea (Authorea) 2023-08-23
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