Author
Hongxun Yi
Bio: Hongxun Yi is an academic researcher from Shandong University. The author has contributed to research in topics: Meromorphic function & Difference polynomials. The author has an hindex of 4, co-authored 4 publications receiving 216 citations.
Papers
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TL;DR: In this article, the uniqueness of difference polynomials sharing values was studied and the results improved those given by Liu and Yang and Heittokangas et al..
Abstract: This article is devoted to studying uniqueness of difference polynomials sharing values. The results improve those given by Liu and Yang and Heittokangas et al.
239 citations
TL;DR: In this article, the existence of Borel exceptional value, the exponent of convergence of zeros, poles and fixed points of a transcendental meromorphic solution of Painleve III difference equations, was investigated.
Abstract: In this paper, we investigate the properties of meromorphic solutions of Painleve III difference equations. In particular, we study the existence of Borel exceptional value, the exponent of convergence of zeros, poles and fixed points of a transcendental meromorphic solution.
10 citations
TL;DR: In this paper, the zero distribution of -shift difference polynomials of meromorphic functions with zero order was investigated and some results that extend previous results of K. Liu et al.
Abstract: We investigate the zero distribution of -shift difference polynomials of meromorphic functions with zero order and obtain some results that extend previous results of K. Liu et al.
5 citations
TL;DR: In this article, Borel exceptional values of meromorphic solutions of Painleve III difference equations are investigated, where η (≠0), λ ( ≥ 0) are constants.
Abstract: In this paper, we investigate Borel exceptional values of meromorphic solutions of Painleve III difference equations. In particular, let w be a transcendental meromorphic solution of with finite order, where η (≠0), λ (
) are constants. If a, b are two Borel exceptional values of w, then and . MSC:30D35, 39A10.
4 citations
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TL;DR: An exponentially accurate fractional spectral collocation method for solving linear/nonlinear FPDEs with field-variable order and a spectral penalty method for enforcing inhomogeneous initial conditions are developed.
163 citations
TL;DR: A new numerical method for solving the distributed fractional differential equations is presented based upon hybrid functions approximation and the Riemann-Liouville fractional integral operator for hybrid functions is introduced.
112 citations
TL;DR: In this paper, the shifted Legendre polynomials are introduced as basis functions of the collocation spectral method together with the operational matrix of fractional derivatives (described in the Caputo sense) in order to reduce the time-fractional coupled KdV equations into a problem consisting of a system of algebraic equations that greatly simplifies the problem.
Abstract: The time-fractional coupled Korteweg---de Vries (KdV) system is a generalization of the classical coupled KdV system and obtained by replacing the first order time derivatives by fractional derivatives of orders $$
u _1$$?1 and $$
u _2$$?2, $$(0<
u _1,
u _2\le 1).$$(0
98 citations
TL;DR: It is proved that the solutions obtained in 8-25,27,30,31 are not correct; the right form of the solutions to linear fractional impulsive evolution equations with order 0 < α < 1 and 1 <α < 2, respectively are presented; and it is shown that the reason that the Solutions to an impulsive ordinary evolution equation are not distinct.
91 citations
TL;DR: In this paper, the authors derived simple and strong maximum principles for the linear fractional equation and implemented these principles to establish uniqueness and stability results for linear and nonlinear fractional diffusion problems and to obtain a norm estimate of the solution.
Abstract: In this paper we study linear and nonlinear fractional diffusion equations with the Caputo fractional derivative of non-singular kernel that has been launched recently (Caputo and Fabrizio in Prog. Fract. Differ. Appl. 1(2):73-85, 2015). We first derive simple and strong maximum principles for the linear fractional equation. We then implement these principles to establish uniqueness and stability results for the linear and nonlinear fractional diffusion problems and to obtain a norm estimate of the solution. In contrast with the previous results of the fractional diffusion equations, the obtained maximum principles are analogous to the ones with the Caputo fractional derivative; however, extra necessary conditions for the existence of a solution of the linear and nonlinear fractional diffusion models are imposed. These conditions affect the norm estimate of the solution as well.
67 citations