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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 671321, 9 pages
http://dx.doi.org/10.1155/2013/671321
Research Article

A Generalized Version of a Low Velocity Impact between a Rigid Sphere and a Transversely Isotropic Strain-Hardening Plate Supported by a Rigid Substrate Using the Concept of Noninteger Derivatives

1Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State, 9300 Bloemfontein, South Africa
2Department of Mathematics, Texas A&M University-Kingsville, MSC 172, 700 University Boulevard, USA
3Department of Mathematics, Faculty of Art & Sciences, Celal Bayar University, Muradiye Campus, 45047 Manisa, Turkey

Received 26 January 2013; Accepted 4 March 2013

Academic Editor: Hassan Eltayeb

Copyright © 2013 Abdon Atangana et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Citations to this Article [9 citations]

The following is the list of published articles that have cited the current article.

  • Abdon Atangana, and S. C. Oukouomi Noutchie, “Two-Dimension Hydrodynamic Dispersion Equation with Seepage Velocity and Dispersion Coefficient as Function of Space and Time,” Abstract and Applied Analysis, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Abdon Atangana, and Adem Kılıçman, “Analytical Solutions of Boundary Values Problem of 2D and 3D Poisson and Biharmonic Equations by Homotopy Decomposition Method,” Abstract and Applied Analysis, vol. 2013, pp. 1–9, 2013. View at Publisher · View at Google Scholar
  • Abdon Atangana, and Adem Kilicman, “A Novel Integral Operator Transform and Its Application to Some FODE and FPDE with Some Kind of Singularities,” Mathematical Problems in Engineering, vol. 2013, pp. 1–7, 2013. View at Publisher · View at Google Scholar
  • Abdon Atangana, and Adem Kiliçman, “A Possible Generalization of Acoustic Wave Equation Using the Concept of Perturbed Derivative Order,” Mathematical Problems in Engineering, vol. 2013, pp. 1–6, 2013. View at Publisher · View at Google Scholar
  • Abdon Atangana, and Necdet Bildik, “Approximate Solution of Tuberculosis Disease Population Dynamics Model,” Abstract and Applied Analysis, vol. 2013, pp. 1–8, 2013. View at Publisher · View at Google Scholar
  • Abdon Atangana, and Necdet Bildik, “Existence and Numerical Solution of the Volterra Fractional Integral Equations of the Second Kind,” Mathematical Problems in Engineering, vol. 2013, pp. 1–11, 2013. View at Publisher · View at Google Scholar
  • Abdon Atangana, and Ernestine Alabaraoye, “Solving a system of fractional partial differential equations arising in th e model of HIV infection of CD4(+) cells and attractor one-dimensional Kell er-Segel equations,” Advances in Difference Equations, 2013. View at Publisher · View at Google Scholar
  • Abdon Atangana, Necdet Bildik, and S. C. Oukouomi Noutchie, “New Iteration Methods for Time-Fractional Modified Nonlinear Kawahara Equation,” Abstract and Applied Analysis, vol. 2014, pp. 1–9, 2014. View at Publisher · View at Google Scholar
  • Abdon Atangana, and P. D. Vermeulen, “Modelling the Aggregation Process of Cellular Slime Mold by the Chemical Attraction,” BioMed Research International, vol. 2014, pp. 1–9, 2014. View at Publisher · View at Google Scholar