Matematik Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413
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Article The extended fractional Caputo-Fabrizio derivative of order 0 <= sigma < 1 on C-R[0,1] and the existence of solutions for two higher-order series-type differential equations(Springer Open, 2018) Baleanu, Dumitru; Mousalou, Asef; Rezapour, ShahramWe extend the fractional Caputo-Fabrizio derivative of order 0 <= sigma < 1 on C-R[0,1] and investigate two higher-order series-type fractional differential equations involving the extended derivation. Also, we provide an example to illustrate one of the main results.Article The (k, s)-fractional calculus of k-Mittag-Leffler function(Springer Open, 2017) Nisar, Kottakkaran Sooppy; Rahman, G.; Baleanu, Dumitru; Mubeen, S.; Arshad, MuhammadIn this paper, we introduce the (k, s)-fractional integral and differential operators involving k-Mittag-Leffler function E-k,rho,beta(delta) (z) as its kernel. Also, we establish various properties of these operators. Further, we consider a number of certain consequences of the main results.