Baleanu, DumitruNeamaty, AbdolaliAgheli, BahramNategh, Mehdi2020-03-042025-09-182020-03-042025-09-182019Nategh, Mehdi...et al. (2019). "Population dynamic caused by war involvement via fractional derivative on time scales", International Journal of Dynamical Systems and Differential Equations, Vol. 9, No. 3, pp. 213-224.1752-35831752-3591https://doi.org/10.1504/IJDSDE.2019.10022748https://hdl.handle.net/20.500.12416/14675Neamaty Hosseinabady, Abdolali/0000-0002-0870-6011This work suggests a model for a population dynamic caused by an enemy attack to a domain of residential areas. With the help of a local non-integer order rate of change and a new structure induced on the real line, we derive a spatial discrete diffusion equation of fractional order. Then making use of the d'Alembert's change of variable we obtain a time scale which is made of union of disjoint compact intervals. These considerations lead us to a non-homogeneous second order nonlinear differential equation. The existence of a positive solution is discussed and through a numerical example the theory is illustrated.eninfo:eu-repo/semantics/closedAccessLocal Fractional DynamicPopulation DynamicTime ScalesWar InvolvementArticle10.1504/IJDSDE.2019.100227482-s2.0-85073894237