Browsing by Author "Akgul, A."

Now showing 1 - 3 of 3

A FRACTAL FRACTIONAL MODEL FOR CERVICAL CANCER DUE TO HUMAN PAPILLOMAVIRUS INFECTION
(2021) Baleanu, Dumitru; Ahmed, N.; Raza, A.; Iqbal, Z.; Rafiq, M.; Rehman, M. A.; Baleanu, Dumitru; 56389
In this paper, we have investigated women's malignant disease, cervical cancer, by constructing the compartmental model. An extended fractal-fractional model is used to study the disease dynamics. The points of equilibria are computed analytically and verified by numerical simulations. The key role of R-0 in describing the stability of the model is presented. The sensitivity analysis of R-0 for deciding the role of certain parameters altering the disease dynamics is carried out. The numerical simulations of the proposed numerical technique are demonstrated to test the claimed facts.
Invariant Investigation on the System of Hirota-Satsuma Coupled KdV Equation
(Amer inst Physics, 2018) Hashemi, M. S.; Baleanu, Dumitru; Balmeh, Z.; Akgul, A.; Akgul, E. K.; Baleanu, D.; 56389
We show how invariant subspace method can be extended to the system time fractional differential equations and construct their exact solutions. Effectiveness of the method has been illustrated by the time fractional Hirota-Satsuma Coupled KdV(HSCKdV) equation.
Nonlinear Self-Adjointness and Nonclassical Solutions of A Population Model With Variable Coefficients
(Amer Scientific Publishers, 2018) Hashemi, M. S.; Baleanu, Dumitru; Inc, M.; Akgul, A.; Baleanu, D.; 56389
In this work, the size-structured population model with variable coefficients is considered to construct the exact solutions with nonclassical symmetries in the light of the heir equations. Nonlinear self-adjointness is shown and conservation laws are calculated too. Some scientific theorems have been given in this paper.