Scopus İndeksli Yayınlar Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651

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  • Article
    Citation - WoS: 34
    Citation - Scopus: 38
    On the Fractional-Order Diffusion-Wave Process
    (Editura Acad Romane, 2010) Herzallah, Mohamed A. E.; Baleanu, Dumitru; El-Sayed, Ahmed M. A.; Baleanu, Dumtru; Matematik
    One of the main applications of the fractional calculus, integration and differentiation of arbitrary orders is the modelling of the intermediate physical processes. Here we formulate a more general model which represents the diffusion wave process in all its cases, and give some examples discussing these different cases.
  • Article
    On fractional order hybrid differential equations
    (Hindawi Publishing Corporation, 2014) Herzallah, Mohamed A. E.; Baleanu, Dumitru
    We develop the theory of fractional hybrid differential equations with linear and nonlinear perturbations involving the Caputo fractional derivative of order 0 << 1. Using some fixed point theorems we prove the existence of mild solutions for two types of hybrid equations. Examples are given to illustrate the obtained results.
  • Article
    Citation - WoS: 61
    Citation - Scopus: 73
    On Fractional Order Hybrid Differential Equations
    (Hindawi Publishing Corporation, 2014) Baleanu, Dumitru; Herzallah, Mohamed A. E.
    We develop the theory of fractional hybrid differential equations with linear and nonlinear perturbations involving the Caputo fractional derivative of order 0 < alpha < 1. Using some fixed point theorems we prove the existence of mild solutions for two types of hybrid equations. Examples are given to illustrate the obtained results.