WoS İndeksli Yayınlar Koleksiyonu

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

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2017 - 20182

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Publisher: search.filters.publisher.Springer international Publishing AgSubject: search.filters.subject.Caputo Derivative

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  • Article
    Citation - WoS: 61
    Citation - Scopus: 64
    On the Existence of Solutions of a Three Steps Crisis Integro-Differential Equation
    (Springer international Publishing Ag, 2018) Ghafarnezhad, Khadijeh; Rezapour, Shahram; Shabibi, Mehdi; Baleanu, Dumitru
    There are many natural phenomena including a crisis (such as a spate or contest) which could be described in three steps. We investigate the existence of solutions for a three step crisis integro-differential equation. We suppose that the second step is a point-wise defined singular fractional differential equation.
  • Article
    Citation - WoS: 6
    Citation - Scopus: 9
    A Method for Solving Nonlinear Volterra's Population Growth Model of Noninteger Order
    (Springer international Publishing Ag, 2017) Agheli, B.; Firozja, M. Adabitabar; Al Qurashi, M. Mohamed; Baleanu, D.; Adabitabar Firozja, M.
    Many numerical methods have been developed for nonlinear fractional integro-differential Volterra's population model (FVPG). In these methods, to approximate a function on a particular interval, only a restricted number of points have been employed. In this research, we show that it is possible to use the fuzzy transform method (F-transform) to tackle with FVPG. It makes the F-transform preferable to other methods since it can make full use of all points on this interval. We also make a comparison showing that this method is less computational and is more convenient to be utilized for coping with nonlinear integro-differential equation (IDEs), fractional nonlinear integro-differential equation (FIDEs), and fractional ordinary differential equations (FODEs).