Haidong Qu

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All published works

Action	Title	Year	Authors
+	Construction and Analysis of Structure-Preserving Numerical Algorithm for Two-Dimensional Damped Nonlinear Space Fractional Schrödinger equation	2024	Hengfei Ding Haidong Qu Qian Yi
+	ON NUMERICAL AND THEORETICAL FINDINGS FOR FRACTAL-FRACTIONAL ORDER GENERALIZED DYNAMICAL SYSTEM	2023	Haidong Qu Muhammad Arfan Kamal Shah Aman Ullah Thabet Abdeljawad GENGZHONG ZHANG
+	Analysis of non-equilibrium 4D dynamical system with fractal fractional Mittag–Leffler kernel	2022	Haidong Qu Mati ur Rahman Sharifah E. Al Hazmi Mansour F. Yassen Soheil Salahshour Mehdi Salimi Ali Ahmadian
+ PDF Chat	Fractional model of smoking with relapse and harmonic mean type incidence rate under Caputo operator	2022	Haidong Qu Mati ur Rahman Muhammad Arfan
+	Investigation of fractional order bacteria dependent disease with the effects of different contact rates	2022	Haidong Qu Mati ur Rahman Shabir Ahmad Muhammad Bilal Riaz Muhammaad Ibrahim Tareq Saeed
+	Bifurcations, stability analysis and complex dynamics of Caputo fractal-fractional cancer model	2022	Xuan Liu Shabir Ahmad Aman Ullah Sayed Saifullah Ali Akgül Haidong Qu
+	Neural network method for solving nonlinear fractional advection-diffusion equation with spatiotemporal variable-order	2022	Haidong Qu Xuan Liu Xin Lü Mati ur Rahman Zi‐Hang She
+	INVESTIGATING FRACTAL-FRACTIONAL MATHEMATICAL MODEL OF TUBERCULOSIS (TB) UNDER FRACTAL-FRACTIONAL CAPUTO OPERATOR	2022	Haidong Qu Mati ur Rahman Muhammad Arfan Ghaylen Laouini Ali Ahmadian Norazak Senu Soheil Salahshour
+	Fractal–fractional dynamical system of Typhoid disease including protection from infection	2021	Haidong Qu Mati ur Rahman Muhammad Arfan Mehdi Salimi Soheil Salahshour Ali Ahmadian
+	MODELING FRACTIONAL-ORDER DYNAMICS OF MERS-COV VIA MITTAG-LEFFLER LAW	2021	Haidong Qu Mati ur Rahman Ye Wang Muhammad Arfan Adnan Abbasi
+	Fractal-fractional Anthroponotic Cutaneous Leishmania model study in sense of Caputo derivative	2021	Lei Zhang Mati ur Rahman Haidong Qu Muhammad Arfan Adnan Abbasi
+ PDF Chat	Fourier Spectral Method for a Class of Nonlinear Schrödinger Models	2021	Lei Zhang Weihua Yang Xuan Liu Haidong Qu
+	DNT preconditioner for one-sided space fractional diffusion equations	2021	Fu‐Rong Lin Haidong Qu Zi‐Hang She
+	Stability and convergence of finite difference method for two-sided space-fractional diffusion equations	2021	Zi‐Hang She Haidong Qu Xuan Liu
+	Neural network method for solving fractional diffusion equations	2020	Haidong Qu Zi‐Hang She Xuan Liu
+	Neural network method for fractional-order partial differential equations	2020	Haidong Qu Xuan Liu Zi‐Hang She
+ PDF Chat	Homotopy Analysis Method for Three Types of Fractional Partial Differential Equations	2020	Haidong Qu Zi‐Hang She Xuan Liu
+	Left- and Right-Shifted Fractional Legendre Functions with an Application for Fractional Differential Equations	2020	Haidong Qu Xiaopeng Yang Zi‐Hang She
+	Fourier spectral method with an adaptive time strategy for nonlinear fractional Schrödinger equation	2019	Haidong Qu Zi‐Hang She
+	A Runge–Kutta Gegenbauer spectral method for nonlinear fractional differential equations with Riesz fractional derivatives	2018	Fu‐Rong Lin Haidong Qu
+	Cosine Radial Basis Function Neural Networks for Solving Fractional Differential Equations	2017	Haidong Qu
+ PDF Chat	A Numerical Method for Solving Fractional Differential Equations by Using Neural Network	2015	Haidong Qu Xuan Liu
+	Positive solution for boundary value problem of fractional dierential equation	2014	Haidong Qu
+ PDF Chat	Existence of nonnegative solutions for a fractional m-point boundary value problem at resonance	2013	Haidong Qu Xuan Liu
+	Positive Solutions of Boundary Value Problems of Nonlinear Third-Order Differential Equations	2010	Haidong Qu
+	Positive solutions of boundary value problems for systems of nonlinear fourth-order differential equations	2008	Haidong Qu

Common Coauthors

Coauthor	Papers Together
Mati ur Rahman	8
Zi-Hang She	8
Xuan Liu	8
Muhammad Arfan	6
Ali Ahmadian	3
Soheil Salahshour	3
Fu‐Rong Lin	2
Aman Ullah	2
Mehdi Salimi	2
Shabir Ahmad	2
Adnan Abbasi	2
Hengfei Ding	1
Ali Akgül	1
Muhammaad Ibrahim	1
Xuan Liu	1
Ye Wang	1
Lei Zhang	1
Xin Lü	1
Muhammad Bilal Riaz	1
Sharifah E. Al Hazmi	1
Mansour F. Yassen	1
GENGZHONG ZHANG	1
Tareq Saeed	1
Weihua Yang	1
Ghaylen Laouini	1
Sayed Saifullah	1
Thabet Abdeljawad	1
Lei Zhang	1
Qian Yi	1
Norazak Senu	1
Xiaopeng Yang	1
Kamal Shah	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Theory and Applications of Fractional Differential Equations	2006	Anatoly A. Kilbas H. M. Srivastava Juan J. Trujillo	7
+	Fractional kinetic equations: solutions and applications	1997	Alexander I. Saichev George M. Zaslavsky	6
+ PDF Chat	A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation	2014	Fanhai Zeng Fawang Liu Changpin Li Kevin Burrage Ian Turner Vo Anh	6
+	Finite difference approximations for fractional advection–dispersion flow equations	2004	Mark M. Meerschaert Charles Tadjeran	6
+	Fractal-fractional differentiation and integration: Connecting fractal calculus and fractional calculus to predict complex system	2017	Abdon Atangana	6
+	Investigating a nonlinear dynamical model of COVID-19 disease under fuzzy caputo, random and ABC fractional order derivative	2020	Mati ur Rahman Muhammad Arfan Kamal Shah J.F. Gómez‐Aguilar	5
+	Boundary value problems for fractional diffusion equations	2000	Ralf Metzler J. Klafter	5
+	Fractal-fractional differentiation for the modeling and mathematical analysis of nonlinear diarrhea transmission dynamics under the use of real data	2020	Sania Qureshi Abdon Atangana	5
+ PDF Chat	New fractional derivatives with nonlocal and non-singular kernel: Theory and application to heat transfer model	2016	Abdon Atangana Dumitru Băleanu	5
+ PDF Chat	Matrix approach to discrete fractional calculus II: Partial fractional differential equations	2009	Igor Podlubný Aleksei V. Chechkin Tomáš Škovránek YangQuan Chen Blas M. Vinagre	4
+ PDF Chat	Numerical methods for nonlinear partial differential equations of fractional order	2006	Zaid Odibat Shaher Momani	4
+	Homotopy perturbation method for nonlinear partial differential equations of fractional order	2007	Shaher Momani Zaid Odibat	4
+	Homotopy analysis method for solving a class of fractional partial differential equations	2011	A. Elsaid	4
+	Nonlinear fractional mathematical model of tuberculosis (TB) disease with incomplete treatment under Atangana-Baleanu derivative	2021	Mati ur Rahman Muhammad Arfan Zahir Shah Poom Kumam Meshal Shutaywi	4
+	The random walk's guide to anomalous diffusion: a fractional dynamics approach	2000	Ralf Metzler J. Klafter	4
+ PDF Chat	A class of second order difference approximations for solving space fractional diffusion equations	2015	Wenyi Tian Han Zhou Weihua Deng	4
+	Solving differential equations of fractional order using an optimization technique based on training artificial neural network	2016	Morteza Pakdaman Ali Ahmadian Sohrab Effati Soheil Salahshour Dumitru Băleanu	3
+	Finite Element Method for the Space and Time Fractional Fokker–Planck Equation	2008	Weihua Deng	3
+ PDF Chat	High-Order Numerical Algorithms for Riesz Derivatives via Constructing New Generating Functions	2016	Hengfei Ding Changpin Li	3
+	Solving the fractional BBM–Burgers equation using the homotopy analysis method	2007	Lina Song Hongqing Zhang	3
+	On the analysis of semi-analytical solutions of Hepatitis B epidemic model under the Caputo-Fabrizio operator	2021	Saeed Ahmad Mati ur Rahman Muhammad Arfan	3
+	Homotopy analysis method for solving multi-term linear and nonlinear diffusion–wave equations of fractional order	2009	Hossein Jafari A. Golbabai Saeed Seifi K. Sayevand	3
+	Finite difference approximations for two-sided space-fractional partial differential equations	2005	Mark M. Meerschaert Charles Tadjeran	3
+	Investigation of fractal-fractional order model of COVID-19 in Pakistan under Atangana-Baleanu Caputo (ABC) derivative	2021	Muhammad Arfan Hussam Alrabaiah Mati ur Rahman Yu-Liang Sun Ahmad Sobri Hashim Bruno Antonio Pansera Ali Ahmadian Soheil Salahshour	3
+	Study on the mathematical modelling of COVID-19 with Caputo-Fabrizio operator	2021	Mati ur Rahman Saeed Ahmad R. T. Matoog Nawal A. Alshehri Tahir Khan	3
+ PDF Chat	Reaction front in an<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>A</mml:mi><mml:mo>+</mml:mo><mml:mrow><mml:mrow><mml:mover><mml:mrow><mml:mi>B</mml:mi></mml:mrow><mml:mrow><mml:mo>→</mml:mo></mml:mrow></mml:mover></mml:mrow></mml:mrow><mml:mi>C</mml:mi></mml:math>reaction-subdiffusion process	2004	S. B. Yuste L. Acedo Katja Lindenberg	3
+ PDF Chat	New Numerical Aspects of Caputo-Fabrizio Fractional Derivative Operator	2019	Sania Qureshi Norodin A. Rangaig Dumitru Băleanu	3
+	Theory and Numerical Approximations of Fractional Integrals and Derivatives	2019	Changpin Li Min Cai	3
+ PDF Chat	A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations	2018	Meng Li Xian‐Ming Gu Chengming Huang Mingfa Fei Guoyu Zhang	3
+	Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws	2018	J.E. Solís-Pérez J.F. Gómez‐Aguilar Abdon Atangana	3
+	On a nonlinear fractional order model of dengue fever disease under Caputo-Fabrizio derivative	2020	Kamal Shah Fahd Jarad Thabet Abdeljawad	3
+	High-order finite element methods for time-fractional partial differential equations	2011	Yingjun Jiang Jingtang Ma	3
+	Galerkin finite element method for nonlinear fractional Schrödinger equations	2016	Meng Li Chengming Huang Pengde Wang	2
+	Discrete fractional differences with nonsingular discrete Mittag-Leffler kernels	2016	Thabet Abdeljawad Dumitru Băleanu	2
+	A Neural Network Approach for Solving a Class of Fractional Optimal Control Problems	2016	Javad Sabouri K. Sohrab Effati Morteza Pakdaman	2
+	Artificial neural network approach for a class of fractional ordinary differential equation	2016	Ahmad Jafarian Masoumeh Mokhtarpour Dumitru Băleanu	2
+ PDF Chat	Almost structure-preserving analysis for weakly linear damping nonlinear Schrödinger equation with periodic perturbation	2016	Weipeng Hu Zichen Deng Tingting Yin	2
+ PDF Chat	A weighted finite difference method for the fractional diffusion equation based on the Riemann–Liouville derivative	2014	Ercı́lia Sousa Can Li	2
+	Analysis of Fractional Differential Equations	2002	Kai Diethelm Neville J. Ford	2
+	A circulant preconditioner for fractional diffusion equations	2013	Siu‐Long Lei Hai‐Wei Sun	2
+ PDF Chat	Fourier spectral methods for fractional-in-space reaction-diffusion equations	2014	Alfonso Bueno‐Orovio David Kay Kevin Burrage	2
+	Solving nonlinear fractional partial differential equations using the homotopy analysis method	2009	Mehdi Dehghan Jalil Manafian Abbas Saadatmandi	2
+	Fractional Differential Equations - An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of their Solution and some of their Applications	1999		2
+	A new artificial neural network structure for solving high-order linear fractional differential equations	2017	Fatemeh Rostami A. Jafarian	2
+	A new method based on Legendre polynomials for solutions of the fractional two-dimensional heat conduction equation	2014	Hammad Khalil Rahmat Ali Khan	2
+ PDF Chat	Application of a fractional advection‐dispersion equation	2000	David A. Benson Stephen W. Wheatcraft Mark M. Meerschaert	2
+	Fractional Calculus in Bioengineering	2007	Bruce J. West	2
+	An energy conservative difference scheme for the nonlinear fractional Schrödinger equations	2014	Pengde Wang Chengming Huang	2
+	An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method	2004	S. Saha Ray R. K. Bera	2
+	Homotopy analysis method for solving fractional hyperbolic partial differential equations	2010	Subir Das Praveen Kumar Gupta	2