Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 34Citation - Scopus: 38On the Fractional-Order Diffusion-Wave Process(Editura Acad Romane, 2010) Herzallah, Mohamed A. E.; Baleanu, Dumitru; El-Sayed, Ahmed M. A.; Baleanu, Dumtru; MatematikOne 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, DumitruWe 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: 61Citation - Scopus: 73On 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.
