Browsing by Author "Allahviranloo, T."

Now showing 1 - 3 of 3

Citation - WoS: 88
Existence and Uniqueness Results for Fractional Differential Equations With Uncertainty
(Springer, 2012) Allahviranloo, T.; Abbasbandy, S.; Baleanu, D.; Salahshour, S.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
In this paper, we study the existence, uniqueness and approximate solutions of fuzzy fractional differential equations (FFDEs) under Caputo's H-differentiability. To this end, the concept of Riemann-Liouville's H-differentiability is introduced, and subsequently, the Caputo's H-differentiability is proposed. Moreover, the related fuzzy Volterra integral forms of FFDEs are obtained which are applied to construct two converge consequences of fuzzy-valued functions as approximated solutions of FFDEs.
Citation - WoS: 10
Citation - Scopus: 18
General Solutions of Fully Fuzzy Linear Systems
(Hindawi Ltd, 2013) Salahshour, S.; Homayoun-nejad, M.; Baleanu, D.; Allahviranloo, T.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
We propose a method to approximate the solutions of fully fuzzy linear system (FFLS), the so-called general solutions. So, we firstly solve the 1-cut position of a system, then some unknown spreads are allocated to each row of an FFLS. Using this methodology, we obtain some general solutions which are placed in the well-known solution sets like Tolerable solution set (TSS) and Controllable solution set (CSS). Finally, we solved two examples in order to demonstrate the ability of the proposed method.
Citation - WoS: 6
Citation - Scopus: 13
On Solutions of Linear Fractional Differential Equations With Uncertainty
(Hindawi Ltd, 2013) Abbasbandy, S.; Shahryari, M. R. Balooch; Salahshour, S.; Baleanu, D.; Allahviranloo, T.; 56389; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
The solutions of linear fuzzy fractional differential equations (FFDEs) under the Caputo differentiability have been investigated. To this end, the fuzzy Laplace transform was used to obtain the solutions of FFDEs. Then, some new results regarding the relation between some types of differentiability have been obtained. Finally, some applicable examples are solved in order to show the ability of the proposed method.