WoS İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8653

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  • Article
    Citation - WoS: 2
    Citation - Scopus: 2
    Population Dynamic Caused by War Involvement Via Fractional Derivative on Time Scales
    (inderscience Enterprises Ltd, 2019) Baleanu, Dumitru; Neamaty, Abdolali; Agheli, Bahram; Nategh, Mehdi
    This 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.