Zobrazeno 1 - 10 of 20 pro vyhledávání: '"Kangqun Zhang"'
1
Akademický článek
Local well-posedness results for the nonlinear fractional diffusion equation involving a Erdélyi-Kober operator
Autor: Wei Fan, Kangqun Zhang
Publikováno v: AIMS Mathematics, Vol 9, Iss 9, Pp 25494-25512 (2024)
In this paper, we study an initial boundary value problem of a nonlinear fractional diffusion equation with the Caputo-type modification of the Erdélyi-Kober fractional derivative. The main tools are the Picard-iteration method, fixed point principl
Externí odkaz: https://doaj.org/article/ef75c28dda7f434e849c624770da8b97
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2
Akademický článek
Existence and uniqueness of positive solution of a nonlinear differential equation with higher order Erdélyi-Kober operators
Autor: Kangqun Zhang
Publikováno v: AIMS Mathematics, Vol 9, Iss 1, Pp 1358-1372 (2024)
In this paper, the initial value problem of a nonlinear differential equation with higher order Caputo type modification of the Erdélyi-Kober fractional derivatives was studied. Based on the transmutation method, the well-posedness of initial value
Externí odkaz: https://doaj.org/article/5035bd3f26724f678f96c8769419260f
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3
Akademický článek
Existence results for a generalization of the time-fractional diffusion equation with variable coefficients
Autor: Kangqun Zhang
Publikováno v: Boundary Value Problems, Vol 2019, Iss 1, Pp 1-11 (2019)
Abstract In this paper we consider the Cauchy problem of a generalization of time-fractional diffusion equation with variable coefficients in R+n+1 $\mathbb {R}_{+}^{n+1}$, where the time derivative is replaced by a regularized hyper-Bessel operator.
Externí odkaz: https://doaj.org/article/ebb72e1386d44c69bb53de34beeb93a3
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4
Akademický článek
Existence of Solution of Space–Time Fractional Diffusion-Wave Equation in Weighted Sobolev Space
Autor: Kangqun Zhang
Publikováno v: Advances in Mathematical Physics, Vol 2020 (2020)
In this paper, we consider Cauchy problem of space-time fractional diffusion-wave equation. Applying Laplace transform and Fourier transform, we establish the existence of solution in terms of Mittag-Leffler function and prove its uniqueness in weigh
Externí odkaz: https://doaj.org/article/f7d6aaada46e49ba983b1bd3f1824129
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5
Akademický článek
Nonexistence of Global Weak Solutions of Nonlinear Keldysh Type Equation with One Derivative Term
Autor: Kangqun Zhang
Publikováno v: Advances in Mathematical Physics, Vol 2018 (2018)
We focus on the nonexistence of global weak solutions of nonlinear Keldysh type equation with one derivative term. In terms of the analysis of the first Fourier coefficient, we show the solution of singular initial value problem and singular initial-
Externí odkaz: https://doaj.org/article/a7f45540aaf14315b9fbefea2a1e04e1
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9
On the Existence of $$L^p$$ L p -Solution of Generalized Euler–Poisson–Darboux Equation in the Upper Half Space
Autor: Kangqun Zhang
Publikováno v: Bulletin of the Brazilian Mathematical Society, New Series. 50:645-661
We focus on the existence of solution of generalized Euler–Poisson–Darboux equation, which is elliptic in $$\mathbb R^{n+1}_+$$ and has a singular coefficient on its boundary. Based on Mikhlin’s multiplier theorem and Hardy inequalities, the we
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1375da8baf813d991cbc75ba0f0dafbd
https://doi.org/10.1007/s00574-018-00121-0
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