Search Results - "Tian Zhou Xu"
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Invariant analysis and exact solutions of nonlinear time fractional Sharma–Tasso–Olver equation by Lie group analysis
Published in Nonlinear dynamics (01-04-2014)“…This paper is concerned with the time fractional Sharma–Tasso–Olver (FSTO) equation, Lie point symmetries of the FSTO equation with the Riemann–Liouville…”
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Approximate solution of generalized inhomogeneous radical quadratic functional equations in 2-Banach spaces
Published in Journal of inequalities and applications (04-02-2019)“…In this paper, using Brzdȩk and Ciepliński’s fixed point theorems in a 2-Banach space, we investigate approximate solution for the generalized inhomogeneous…”
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3
Soliton and breather solutions of the higher-order modified Korteweg–de Vries equation with constants background
Published in Zeitschrift für angewandte Mathematik und Physik (01-04-2023)“…The higher-order modified Korteweg–de Vries (mKdV) equation with constants background is revealed based on the Riemann–Hilbert problem (RHP). With the…”
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4
The bound-state soliton solutions of a higher-order nonlinear Schrödinger equation for inhomogeneous Heisenberg ferromagnetic system
Published in Nonlinear dynamics (01-05-2021)“…The inverse scattering of a higher-order nonlinear Schrödinger equation for inhomogeneous Heisenberg ferromagnetic system with zero boundary condition is…”
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5
Singular solitons, shock waves, and other solutions to potential KdV equation
Published in Nonlinear dynamics (01-04-2014)“…This paper addresses the potential Korteweg–de Vries equation. The singular 1-soliton solution is obtained by the aid of ansatz method. Subsequently, the G ′ /…”
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Hyers-Ulam Stability of Differentiation Operator on Hilbert Spaces of Entire Functions
Published in Journal of function spaces (01-01-2014)“…We investigate the Hyers-Ulam stability of differentiation operator on Hilbert spaces of entire functions. We give a necessary and sufficient condition in…”
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Hyers–Ulam Stability of the Coefficient Multipliers on Analytic Hilbert Spaces
Published in Mediterranean journal of mathematics (01-06-2024)“…In this paper, we investigate the Hyers–Ulam stability of the coefficient multipliers on the Hardy space H 2 and the Bergman space A 2 , meanwhile, we also…”
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8
Group Analysis and New Explicit Solutions of Simplified Modified Kawahara Equation with Variable Coefficients
Published in Abstract and Applied Analysis (01-01-2013)“…The simplified modified Kawahara equation with variable coefficients is studied by using Lie symmetry method. Then we obtain the corresponding Lie algebra,…”
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Parseval Relationship of Samples in the Fractional Fourier Transform Domain
Published in Journal of Applied Mathematics (01-01-2012)“…This paper investigates the Parseval relationship of samples associated withthe fractional Fourier transform. Firstly, the Parseval relationship for…”
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10
Completely Dissipative Maps and Stinespring's Dilation-Type Theorem on σ-C^∗-Algebras
Published in Abstract and Applied Analysis (01-01-2011)“…The notion of the completely dissipative maps on σ-C*-algebras is introduced. We show that a completely dissipative map induces a representation of a…”
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11
Numerical algorithm for time-fractional Sawada-Kotera equation and Ito equation with Bernstein polynomials
Published in Applied mathematics and computation (01-12-2018)“…The generalized KdV equation arises in many problems in mathematical physics. In this paper, an effective numerical method is proposed to solve two types of…”
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12
Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation
Published in PloS one (11-02-2014)“…In this paper, using the Lie group analysis method, we study the invariance properties of the time fractional fifth-order KdV equation. A systematic research…”
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13
Numerical simulation for coupled systems of nonlinear fractional order integro-differential equations via wavelets method
Published in Applied mathematics and computation (01-05-2018)“…In this paper, a new method for solving coupled systems of nonlinear fractional order integro-differential equations is proposed. The idea is to use Bernoulli…”
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14
Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives
Published in Applications of mathematics (Prague) (01-08-2015)“…The aim of this paper is to study the stability of fractional differential equations in Hyers-Ulam sense. Namely, if we replace a given fractional differential…”
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15
Solitons and Lie group analysis to an extended quantum Zakharov–Kuznetsov equation
Published in Astrophysics and space science (2014)“…In this paper, complete geometric symmetry of extended quantum Zakharov–Kuznetsov (QZK) equation are investigated. All of the geometric vector fields for the…”
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16
A reproducing kernel method for solving nonlocal fractional boundary value problems with uncertainty
Published in Soft computing (Berlin, Germany) (01-07-2017)“…In this paper, we introduce a reproducing kernel method for solving nonlocal fractional boundary value problems with uncertainty. An algorithm for solving…”
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17
Approximate Multi-Jensen, Multi-Euler-Lagrange Additive and Quadratic Mappings in n-Banach Spaces
Published in Abstract and Applied Analysis (01-01-2013)“…We prove the generalized Hyers-Ulam stability of multi-Jensen, multi-Euler-Lagrange additive, and quadratic mappings in n-Banach spaces, using the socalled…”
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18
Numerical solutions for systems of fractional order differential equations with Bernoulli wavelets
Published in International journal of computer mathematics (01-02-2019)“…In this paper, an effective algorithm for solving systems of fractional order differential equations (FDEs) is proposed. The algorithm is based on Bernoulli…”
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19
Approximating bandlimited signals associated with the LCT domain from nonuniform samples at unknown locations
Published in Signal processing (01-07-2012)“…The sampling theory describes ways of reconstructing signals from their uniform or nonuniform samples associated with the traditional Fourier transform (FT)…”
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20
A Fixed Point Approach to the Stability of Functional Equations on Noncommutative Spaces
Published in Resultate der Mathematik (01-12-2017)“…Using the fixed point method and the weakly Picard operator technique, we establish some abstract Ulam–Hyers stability results for operatorial equations in…”
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