Browsing by Author "Nazemi, Sayyedeh Zahra"

Now showing 1 - 5 of 5

A k-Dimensional System of Fractional Neutral Functional Differential Equations with Bounded Delay
(Hindawi LTD, 2014) Baleanu, Dumitru; Nazemi, Sayyedeh Zahra; Rezapour, Shahram; 56389
In 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..
Attractivity for a k-dimensional system of fractional functional differential equations and global attractivity for a k-dimensional system of nonlinear fractional differential equations
(2014) Baleanu, Dumitru; Nazemi, Sayyedeh Zahra; Rezapour, Shahram; 56389
In this paper, we present some results for the attractivity of solutions for a k-dimensional system of fractional functional differential equations involving the Caputo fractional derivative by using the classical Schauder's fixed-point theorem. Also, the global attractivity of solutions for a k-dimensional system of fractional differential equations involving Riemann-Liouville fractional derivative are obtained by using Krasnoselskii's fixed-point theorem. We give two examples to illustrate our main results.
Existence and Uniqueness of Solutions For Multi-Term Nonlinear Fractional Integro-Differential Equations
(Springer Open, 2013) Baleanu, Dumitru; Nazemi, Sayyedeh Zahra; Rezapour, Shahram; 56389
In 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.
The Existence of Positive Solutions for a New Coupled System of Multiterm Singular Fractional Integrodifferential Boundary Value Problems
(Hindawi LTD, 2013) Baleanu, Dumitru; Nazemi, Sayyedeh Zahra; Rezapour, Shahram; 56389
We 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.
The Existence of Solution for a k-Dimensional System of Multiterm Fractional Integrodifferential Equations with Antiperiodic Boundary Value Problems
(Hindawi LTD, 2014) Baleanu, Dumitru; Nazemi, Sayyedeh Zahra; Rezapour, Shahram; 56389
There are many published papers about fractional integrodifferential equations and system of fractional differential equations. The goal of this paper is to show that we can investigate more complicated ones by using an appropriate basic theory. In this way, we prove the existence and uniqueness of solution for k-dimensional system of multiterm fractional integrodifferential equations with antiperiodic boundary conditions by applying some standard fixed point results. An illustrative example is also presented.