Analytical solutions of the Keller-Segel chemotaxis model involving fractional operators without singular kernel (English)

In: The European Physical Journal Plus   ;  133 ,  5  ;  1-19  ;  2018
  • ISSN:
  • Article (Journal)  /  Electronic Resource

How to get this document?

Download
Commercial Copyright fee: €34.95 Basic fee: €4.00 Total price: €38.95
Academic Copyright fee: €12.50 Basic fee: €2.00 Total price: €14.50

Abstract. This paper discusses the application of analytical techniques, namely the Laplace homotopy perturbation method and the modified homotopy analysis transform method, for solving a coupled one-dimensional time-fractional Keller-Segel chemotaxis model. The first method is based on a combination of the Laplace transform and homotopy methods, while the second method is an analytical technique based on the homotopy polynomial. Fractional derivatives with exponential and Mittag-Leffler laws in Liouville-Caputo sense are considered. The effectiveness of both methods is demonstrated by finding the exact solutions of the Keller-Segel chemotaxis model. Some examples have been presented in order to compare the results obtained with both fractional-order derivatives.

Table of contents – Volume 133, Issue 5

Show all volumes and issues

The tables of contents are generated automatically and are based on the data records of the individual contributions available in the index of the TIB portal. The display of the Tables of Contents may therefore be incomplete.

1
Quasi-four-body treatment of charge transfer in the collision of protons with atomic helium: II. Second-order non-Thomas mechanisms and the cross sections
Safarzade, Zohre / Akbarabadi, Farideh Shojaei / Fathi, Reza / Brunger, Michael J. / Bolorizadeh, Mohammad A. | 2018
1
A study on the unsteady flow of two immiscible micropolar and Newtonian fluids through a horizontal channel: A numerical approach
Devakar, M. / Raje, Ankush | 2018
1
Fundamental solutions to electrical circuits of non-integer order via fractional derivatives with and without singular kernels
Gómez-Aguilar, J. F. | 2018
1
Hybrid entanglement between a trapped ion and a mirror
Corrêa, Clóvis Jr. / Vidiella-Barranco, A. | 2018
1
Nonlocal elasticity and shear deformation effects on thermal buckling of a CNT embedded in a viscoelastic medium
Zenkour, A. M. | 2018
1
Analytical solutions of the Keller-Segel chemotaxis model involving fractional operators without singular kernel
Morales-Delgado, V. F. / Gómez-Aguilar, J. F. / Kumar, Sunil / Taneco-Hernández, M. A. | 2018
1
Analytical solution of the nonlinear diffusion equation
Shanker Dubey, Ravi / Goswami, Pranay | 2018
1
Theoretical derivation of laser-dressed atomic states by using a fractal space
Duchateau, Guillaume | 2018
1
Area (or entropy) products in modified gravity and Kerr-MG/CFT correspondence
Pradhan, Parthapratim | 2018
1
New solitary wave solutions of the time-fractional Cahn-Allen equation via the improved ( G G )-expansion method
Batool, Fiza / Akram, Ghazala | 2018
1
Magnification effect of Kerr metric by configurations of collisionless particles in non-isotropic kinetic equilibria
Cremaschini, Claudio / Stuchlík, Zdeněk | 2018
1
Phase-space analysis of the Schwinger effect in inhomogeneous electromagnetic fields
Kohlfürst, Christian | 2018
1
Neuro-evolutionary computing paradigm for Painlevé equation-II in nonlinear optics
Ahmad, Iftikhar / Ahmad, Sufyan / Awais, Muhammad / Ul Islam Ahmad, Siraj / Asif Zahoor Raja, Muhammad | 2018
1
On the dynamics of superstring compactification
Pollock, M. D. | 2018
1
Exact solutions of the Navier-Stokes equations generalized for flow in porous media
Daly, Edoardo / Basser, Hossein / Rudman, Murray | 2018
1
The two-point resistance on the diamond cubic lattice
Owaidat, M. Q. / Al-Badawi, A. / Abu-Samak, M. | 2018
1
Solitons in optical metamaterials with anti-cubic nonlinearity
Biswas, Anjan / Ekici, Mehmet / Sonmezoglu, Abdullah / Zhou, Qin / Alshomrani, Ali Saleh / Moshokoa, Seithuti P. / Belic, Milivoj | 2018
1
Temperature and porosity effects on wave propagation in nanobeams using bi-Helmholtz nonlocal strain-gradient elasticity
Reza Barati, Mohammad | 2018
1
Understanding performance properties of chemical engines under a trade-off optimization: Low-dissipation versus endoreversible model
Tang, F. R. / Zhang, Rong / Li, Huichao / Li, C. N. / Liu, Wei / Bai, Long | 2018
1
Effect of Hall current on the magnetohydrodynamic free convective flow between vertical walls with induced magnetic field
Kumar, Dileep / Singh, A. K. / Kumar, Devendra | 2018
1
Parametrization of 3 × 3 unitary matrices based on polarization algebra
Gil, José J. | 2018
1
Soliton solutions, stability analysis and conservation laws for the brusselator reaction diffusion model with time- and constant-dependent coefficients
Inc, Mustafa / Yusuf, Abdullahi / Isa Aliyu, Aliyu / Hashemi, M. S. | 2018
1
Constrained dynamics of two interacting relativistic particles in the Faddeev-Jackiw symplectic framework
Rodríguez-Tzompantzi, Omar | 2018
1
Doppler broadening of neutron-induced resonances using ab initio phonon spectrum
Noguere, G. / Maldonado, P. / De Saint Jean, C. | 2018
1
Dispersive optical soliton solutions for the hyperbolic and cubic-quintic nonlinear Schrödinger equations via the extended sinh-Gordon equation expansion method
Seadawy, Aly R. / Kumar, Dipankar / Chakrabarty, Anuz Kumar | 2018
1
Ellipsoidal expansion of the Universe, cosmic shear, acceleration and jerk parameter
Tedesco, Luigi | 2018
1
Impact of Cattaneo-Christov heat flux on electroosmotic transport of third-order fluids in a magnetic environment
Misra, J. C. / Mallick, B. / Sinha, A. / Roy Chowdhury, A. | 2018
1
Physical and mechanical properties of sand stabilized by cement and natural zeolite
Salamatpoor, Sina / Jafarian, Yaser / Hajiannia, Alborz | 2018
1
Dirac and Klein-Gordon oscillators on anti-de Sitter space
Hamil, B. / Merad, M. | 2018
1
Analytical study on temperature effect on piezoelectric exciton dissociation rate (Onsager dissociation rate)
Kim, SeongMin | 2018
1
Numerical treatment of the Benjamin-Bona-Mahony equation using Alpert multiwavelets
Shahriari, Mohammad / Saray, Behzad Nemati / Lakestani, Mehrdad / Manafian, Jalil | 2018
1
Electrochemical studies of mesoporous and copper-modified mesoporous TiO2 -anode material
Ajay Kumar, R. / Venkateswara Rao, A. / Rajesh, Ch. | 2018
1
Free vibration analysis of a piezoelectric curved sandwich nano-beam with FG-CNTRCs face-sheets based on various high-order shear deformation and nonlocal elasticity theories
Arefi, M. / Pourjamshidian, M. / Ghorbanpour Arani, A. | 2018
1
A new approach to exact optical soliton solutions for the nonlinear Schrödinger equation
Morales-Delgado, V. F. / Gómez-Aguilar, J. F. / Baleanu, Dumitru | 2018
1
The effect of damping on a quantum system containing a Kerr-like medium
Mohamed, A. -B. A. / Sebawe Abdalla, M. / Obada, A. -S. F. | 2018
1
Importance sampling studies of helium using the Feynman-Kac path integral method
Datta, S. / Rejcek, J. M. | 2018
1
Quantum ring in gapped graphene layer with wedge disclination in the presence of a uniform magnetic field
Amaro Neto, José / de S. Oliveira, J. R. / Furtado, Claudio / Sergeenkov, Sergei | 2018
1
Introducing a new family of short-range potentials and their numerical solutions using the asymptotic iteration method
Assi, I. A. / Sous, A. J. | 2018
1
Influence of a uniform transverse magnetic field on the thermo-hydrodynamic stability in water-based nanofluids with metallic nanoparticles using the generalized Buongiorno’s mathematical model
Wakif, Abderrahim / Boulahia, Zoubair / Mishra, S. R. / Mehdi Rashidi, Mohammad / Sehaqui, Rachid | 2018
1
Radiative albedo from a linearly fibered half-space
Grzesik, J. A. | 2018
Feedback