Matematik Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413
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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 On coupled systems of time-fractional differential problems by using a new fractional derivative(Hindawi Publishing Corporation, 2016) Alsaedi, Ahmed; Baleanu, Dumitru; Etemad, Sina; Rezapour, ShahramThe existence of solutions for a coupled system of time-fractional differential equations including continuous functions and the Caputo-Fabrizio fractional derivative is examined. After that we investigated a coupled system of time-fractional differential inclusions including compact-and convex-valued L-1-Caratheodory multifunctions and the Caputo-Fabrizio fractional derivative.Article Some fixed point results for TAC-type contractive mappings(Hindawi Publishing Corporation, 2016) Chandok, Sumit; Taş, Kenan; Ansari, Arslan Hojat; Hojat Ansari, ArslanWe prove some fixed point results for new type of contractive mappings using the notion of cyclic admissible mappings in the framework of metric spaces. Our results extend, generalize, and improve some well-known results from literature. Some examples are given to support our main results.