Analysis of the Keller-Segel Model with a Fractional Derivative without Singular Kernel
暂无分享,去创建一个
[1] M. A. Herrero,et al. A blow-up mechanism for a chemotaxis model , 1997 .
[2] Paolo Rossi,et al. Self-Similarity in Population Dynamics: Surname Distributions and Genealogical Trees , 2015, Entropy.
[3] Carlo Cattani,et al. Local Fractional Variational Iteration Method for Inhomogeneous Helmholtz Equation within Local Fractional Derivative Operator , 2014 .
[4] Abdon Atangana,et al. Extension of Matched Asymptotic Method to Fractional Boundary Layers Problems , 2014 .
[5] A. Cloot,et al. A generalised groundwater flow equation using the concept of non-integer order derivatives , 2007 .
[6] D. Benson,et al. The fractional‐order governing equation of Lévy Motion , 2000 .
[7] H. Srivastava,et al. Theory and Applications of Fractional Differential Equations , 2006 .
[8] M. Caputo. Linear Models of Dissipation whose Q is almost Frequency Independent-II , 1967 .
[9] K. Miller,et al. An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .
[10] Morgan Magnin,et al. Kinetic Theory Modeling and Efficient Numerical Simulation of Gene Regulatory Networks Based on Qualitative Descriptions , 2015, Entropy.
[11] Clara Ionescu,et al. Fractional dynamics and its applications , 2015 .
[12] H. Srivastava,et al. Cantor-type cylindrical-coordinate method for differential equations with local fractional derivatives , 2013 .
[13] Arturo González,et al. Characterization of non-linear bearings using the Hilbert–Huang transform , 2015 .
[14] Hari M. Srivastava,et al. Local fractional similarity solution for the diffusion equation defined on Cantor sets , 2015, Appl. Math. Lett..
[15] M. Levandowsky,et al. Modeling Chemosensory Responses of Swimming Eukaryotes , 1980 .
[16] Bo Song,et al. Modeling and Analyzing the Interaction between Network Rumors and Authoritative Information , 2015, Entropy.
[17] Maria Cristina Carrisi,et al. An 18 Moments Model for Dense Gases: Entropy and Galilean Relativity Principles without Expansions , 2015, Entropy.
[18] M. Caputo,et al. A new Definition of Fractional Derivative without Singular Kernel , 2015 .
[19] S. Arabia,et al. Properties of a New Fractional Derivative without Singular Kernel , 2015 .
[20] Scott W. Tyler,et al. An explanation of scale‐dependent dispersivity in heterogeneous aquifers using concepts of fractal geometry , 1988 .
[21] Timothy R. Ginn,et al. Fractional advection‐dispersion equation: A classical mass balance with convolution‐Fickian Flux , 2000 .
[22] J. A. Tenreiro Machado,et al. Nonlinear dynamics for local fractional Burgers’ equation arising in fractal flow , 2016 .
[23] J. Suárez,et al. Stormwater quality calibration by SWMM : a case study in Northern Spain , 2007 .
[24] Igor Podlubny,et al. Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation , 2001, math/0110241.
[25] A. Atangana,et al. Modelling the Aggregation Process of Cellular Slime Mold by the Chemical Attraction , 2014, BioMed research international.
[26] L. Segel,et al. Initiation of slime mold aggregation viewed as an instability. , 1970, Journal of theoretical biology.
[27] Roshdi Khalil,et al. CONFORMABLE FRACTIONAL HEAT DIFFERENTIAL EQUATION , 2014 .
[28] P. K. Maini,et al. Overview of Mathematical Approaches Used to Model Bacterial Chemotaxis II: Bacterial Populations , 2008, Bulletin of mathematical biology.