Scopus İndeksli Yayınlar Koleksiyonu
Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/8651
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Article Citation - WoS: 103Citation - Scopus: 114On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional Derivative(Hindawi Ltd, 2016) Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram; Alsaedi, AhmedThe 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 A k-Dimensional System of Fractional Finite Difference Equations(Hindawi Ltd, 2014) Baleanu, Dumitru; Rezapour, Shahram; Salehi, SaeidWe investigate the existence of solutions for a k-dimensional system of fractional finite difference equations by using the Kranoselskii's fixed point theorem. We present an example in order to illustrate our results.Article Citation - WoS: 16Citation - Scopus: 23The Existence of Positive Solutions for a New Coupled System of Multiterm Singular Fractional Integrodifferential Boundary Value Problems(Hindawi Ltd, 2013) Nazemi, Sayyedeh Zahra; Rezapour, Shahram; Baleanu, DumitruWe discuss the existence of positive solutions for the coupled system of multiterm singular fractional integrodifferential boundary value problems D-0+(alpha) + f(1)(t), u(t), v(t), (phi(1)u)(t), (psi(1)v)(t), D(0+)(p)u(t), D(0+)(mu 1)v(t), D(0+)(mu 2)v(t), ... , D(0+)(mu m)v(t)) = 0, D(0+)(beta)v(t) + f(2)(t, u(t), v(t), (phi(2)u)(t), (psi(2)v)(t), D(0+)(q)v(t), D(0+)(v1)v(t), D(0+)(v2)v(t), ... , D(0+)(vm)v(t) = 0, u((1))(0) = 0 and v((i))(0) = 0 for all 0 <= i <= n - 2, [D(0+)(delta 1)u(t)](t=1) - 0 for 2 < delta(1) < n - 1 and alpha - delta(1) >= 1, [D(0+)(delta 2)u(t)](t=1) - 0 for 2 < delta(2) < n - 1 and beta - delta(1) >= 1 where n >= 4 n - 1 < alpha, beta < n, 0 < 1, 1 < mu(i,) nu(i) < 2 (i = 1, 2, ... , m), gamma(j,) lambda(j) : [0, 1] x [0, 1] -> (0, infinity) are continuous functions (j = 1, 2) and (phi(j)u)(t) = integral(t)(0) gamma(j)(t, s)u(s)ds, (psi(j)v)(t) = integral(t)(0) gamma(j)(t, s)v(s)ds. Here D is the standard Riemann-Liouville fractional derivative, f(j) (j = 1, 2) is a Caratheodory function, and f(j)(t, x, y, z, w, v, u(1), u(2), ... , u(m)) is singular at the value 0 of its variables.Article Citation - WoS: 3Citation - Scopus: 4A K-Dimensional System of Fractional Neutral Functional Differential Equations With Bounded Delay(Hindawi Ltd, 2014) Nazemi, Sayyedeh Zahra; Rezapour, Shahram; Baleanu, DumitruIn 2010, Agarwal et al. studied the existence of a one-dimensional fractional neutral functional differential equation. In this paper, we study an initial value problem for a class of k-dimensional systems of fractional neutral functional differential equations by using Krasnoselskii's fixed point theorem. In fact, our main result generalizes their main result in a sense..Article Citation - WoS: 6Citation - Scopus: 13A K-Dimensional System of Fractional Finite Difference Equations(Hindawi Ltd, 2014) Rezapour, Shahram; Salehi, Saeid; Baleanu, DumitruWe investigate the existence of solutions for a k-dimensional system of fractional finite difference equations by using the Kranoselskii's fixed point theorem. We present an example in order to illustrate our results.Article Citation - WoS: 29Citation - Scopus: 31On a Time-Fractional Integrodifferential Equation Via Three-Point Boundary Value Conditions(Hindawi Ltd, 2015) Rezapour, Shahram; Etemad, Sina; Alsaedi, Ahmed; Baleanu, DumitruThe existence and the uniqueness theorems play a crucial role prior to finding the numerical solutions of the fractional differential equations describing the models corresponding to the real world applications. In this paper, we study the existence of solutions for a time-fractional integrodifferential equation via three-point boundary value conditions.