Matematik Bölümü Yayın Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413
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Article Citation - WoS: 23Citation - Scopus: 23Existence and Uniqueness of Solutions for Multi-Term Nonlinear Fractional Integro-Differential Equations(Springeropen, 2013) Nazemi, Sayyedeh Zahra; Rezapour, Shahram; Baleanu, DumitruIn this manuscript, by using the fixed point theorems, the existence and the uniqueness of solutions for multi-term nonlinear fractional integro-differential equations are reported. Two examples are presented to illustrate our results.Article Citation - WoS: 243Citation - Scopus: 260A Hybrid Caputo Fractional Modeling for Thermostat With Hybrid Boundary Value Conditions(Springeropen, 2020) Etemad, Sina; Rezapour, Shahram; Baleanu, DumitruWe provide an extension for the second-order differential equation of a thermostat model to the fractional hybrid equation and inclusion versions. We consider boundary value conditions of this problem in the form of the hybrid conditions. To prove the existence of solutions for our hybrid fractional thermostat equation and inclusion versions, we apply the well-known Dhage fixed point theorems for single-valued and set-valued maps. Finally, we give two examples to illustrate our main results.Article Citation - WoS: 217Citation - Scopus: 229Some Existence Results on Nonlinear Fractional Differential Equations(Royal Soc, 2013) Rezapour, Shahram; Mohammadi, Hakimeh; Baleanu, DumitruIn this paper, by using fixed-point methods, we study the existence and uniqueness of a solution for the nonlinear fractional differential equation boundary-value problem D(alpha)u(t) = f(t, u(t)) with a Riemann-Liouville fractional derivative via the different boundary-value problems u(0) = u(T), and the three-point boundary condition u(0)= beta(1)u(eta) and u(T) = beta(2)u(eta), where T > 0, t is an element of I = [0, T], 0 < alpha < 1, 0 < eta < T, 0 < beta(1) < beta(2) < 1.