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WITHDRAWN: Fractional diffusion equation described by the AtanganaBaleanu fractional derivative and its approximate solution
Discrete & Continuous Dynamical Systems  S, (2021)
This article has been withdrawn from the journal Discrete and Continuous Dynamical Systems  series S. The publisher apologizes for any inconvenience this maycause.
[1] 
S. Sadeghi, H. Jafari, S. Nemati. Solving fractional Advectiondiffusion equation using Genocchi operational matrix based on AtanganaBaleanu derivative. Discrete & Continuous Dynamical Systems  S, 2021, 14 (10) : 37473761. doi: 10.3934/dcdss.2020435 
[2] 
Saif Ullah, Muhammad Altaf Khan, Muhammad Farooq, Ebraheem O. Alzahrani. A fractional model for the dynamics of tuberculosis (TB) using AtanganaBaleanu derivative. Discrete & Continuous Dynamical Systems  S, 2020, 13 (3) : 937956. doi: 10.3934/dcdss.2020055 
[3] 
Ilknur Koca. Numerical analysis of coupled fractional differential equations with AtanganaBaleanu fractional derivative. Discrete & Continuous Dynamical Systems  S, 2019, 12 (3) : 475486. doi: 10.3934/dcdss.2019031 
[4] 
Kashif Ali Abro, Ilyas Khan. MHD flow of fractional Newtonian fluid embedded in a porous medium via AtanganaBaleanu fractional derivatives. Discrete & Continuous Dynamical Systems  S, 2020, 13 (3) : 377387. doi: 10.3934/dcdss.2020021 
[5] 
Muhammad Bilal Riaz, Syed Tauseef Saeed. Comprehensive analysis of integerorder, CaputoFabrizio (CF) and AtanganaBaleanu (ABC) fractional time derivative for MHD OldroydB fluid with slip effect and time dependent boundary condition. Discrete & Continuous Dynamical Systems  S, 2021, 14 (10) : 37193746. doi: 10.3934/dcdss.2020430 
[6] 
Kaouther Bouchama, Yacine Arioua, Abdelkrim Merzougui. The Numerical Solution of the spacetime fractional diffusion equation involving the CaputoKatugampola fractional derivative. Numerical Algebra, Control & Optimization, 2021 doi: 10.3934/naco.2021026 
[7] 
G. M. Bahaa. Generalized variational calculus in terms of multiparameters involving AtanganaBaleanu's derivatives and application. Discrete & Continuous Dynamical Systems  S, 2020, 13 (3) : 485501. doi: 10.3934/dcdss.2020027 
[8] 
Krunal B. Kachhia, Abdon Atangana. Electromagnetic waves described by a fractional derivative of variable and constant order with non singular kernel. Discrete & Continuous Dynamical Systems  S, 2021, 14 (7) : 23572371. doi: 10.3934/dcdss.2020172 
[9] 
Changpin Li, Zhiqiang Li. Asymptotic behaviors of solution to partial differential equation with Caputo–Hadamard derivative and fractional Laplacian: Hyperbolic case. Discrete & Continuous Dynamical Systems  S, 2021, 14 (10) : 36593683. doi: 10.3934/dcdss.2021023 
[10] 
Tran Bao Ngoc, Nguyen Huy Tuan, R. Sakthivel, Donal O'Regan. Analysis of nonlinear fractional diffusion equations with a Riemannliouville derivative. Evolution Equations & Control Theory, 2021 doi: 10.3934/eect.2021007 
[11] 
Claude Bardos, François Golse, Ivan Moyano. Linear Boltzmann equation and fractional diffusion. Kinetic & Related Models, 2018, 11 (4) : 10111036. doi: 10.3934/krm.2018039 
[12] 
Begoña Barrios, Leandro Del Pezzo, Jorge GarcíaMelián, Alexander Quaas. A Liouville theorem for indefinite fractional diffusion equations and its application to existence of solutions. Discrete & Continuous Dynamical Systems, 2017, 37 (11) : 57315746. doi: 10.3934/dcds.2017248 
[13] 
Weiguo Zhang, Yan Zhao, Xiang Li. Qualitative analysis to the traveling wave solutions of KakutaniKawahara equation and its approximate damped oscillatory solution. Communications on Pure & Applied Analysis, 2013, 12 (2) : 10751090. doi: 10.3934/cpaa.2013.12.1075 
[14] 
Nguyen Huy Tuan, Donal O'Regan, Tran Bao Ngoc. Continuity with respect to fractional order of the time fractional diffusionwave equation. Evolution Equations & Control Theory, 2020, 9 (3) : 773793. doi: 10.3934/eect.2020033 
[15] 
Li Li. An inverse problem for a fractional diffusion equation with fractional power type nonlinearities. Inverse Problems & Imaging, , () : . doi: 10.3934/ipi.2021064 
[16] 
Wafa Hamrouni, Ali Abdennadher. Random walk's models for fractional diffusion equation. Discrete & Continuous Dynamical Systems  B, 2016, 21 (8) : 25092530. doi: 10.3934/dcdsb.2016058 
[17] 
Luis Caffarelli, JuanLuis Vázquez. Asymptotic behaviour of a porous medium equation with fractional diffusion. Discrete & Continuous Dynamical Systems, 2011, 29 (4) : 13931404. doi: 10.3934/dcds.2011.29.1393 
[18] 
Eugenio Montefusco, Benedetta Pellacci, Gianmaria Verzini. Fractional diffusion with Neumann boundary conditions: The logistic equation. Discrete & Continuous Dynamical Systems  B, 2013, 18 (8) : 21752202. doi: 10.3934/dcdsb.2013.18.2175 
[19] 
Yalçin Sarol, Frederi Viens. Time regularity of the evolution solution to fractional stochastic heat equation. Discrete & Continuous Dynamical Systems  B, 2006, 6 (4) : 895910. doi: 10.3934/dcdsb.2006.6.895 
[20] 
Zhengping Wang, HuanSong Zhou. Radial signchanging solution for fractional Schrödinger equation. Discrete & Continuous Dynamical Systems, 2016, 36 (1) : 499508. doi: 10.3934/dcds.2016.36.499 
2020 Impact Factor: 2.425
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