Results 51 to 60 of about 1,164 (161)

Nonlocal Boundary Value Problems for Riemann-Liouville Fractional Differential Inclusions with Hadamard Fractional Integral Boundary Conditions

Taiwanese Journal of Mathematics, 2016
In this paper we study a new class of boundary value problemsconsisting of a fractional differential inclusion of Riemann-Liouville typeand Hadamard fractional integral conditions. Some new existence results forconvex as well as non-convex multivalued maps are obtained by using standardfixed point theorems. Some illustrative examples are also presented.
Ntouyas, Sotiris, Tariboon, Jessada, Thaiprayoon, Chatthai   +2 more
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An inverse time-dependent source problem for a time-fractional diffusion equation with nonlocal boundary conditions

Miskolc Mathematical Notes
In this paper, we investigate an inverse time-dependent source problem for a time-fractional diffusion equation with nonlocal boundary and integral over-determination conditions. The fractional derivative is described in the generalized Caputo sense. The
Farid Mihoubi, Brahim Nouiri
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Positive Solutions for a System of Fractional Differential Equations with Nonlocal Integral Boundary Conditions

Differential Equations and Dynamical Systems, 2015
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Guezane-Lakoud, Assia, Ashyralyev, Allaberen   +1 more
openaire   +3 more sources

Positive nondecreasing solutions for a multi-term fractional-order functional differential equation with integral conditions

Electronic Journal of Differential Equations, 2011
In this article, we prove the existence of positive nondecreasing solutions for a multi-term fractional-order functional differential equations. We consider Cauchy boundary problems with: nonlocal conditions, two-point boundary conditions, integral ...
Ahmed M. A. El-Sayed, Ebtisam O. Bin-Taher   +1 more
doaj  

To the Solution of Loaded Differential Equations with Nonlocal Conditions

Известия Иркутского государственного университета: Серия "Математика"
We investigate a system of linear ordinary differential equations containing point and integral loadings with nonlocal boundary conditions. Boundary conditions include integral and point values of the unknown function. An essential feature of the problem
V.M. Abdullaev
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The integrable nonlocal nonlinear Schrödinger equation with oscillatory boundary conditions: Long-time asymptotics

Physica D: Nonlinear Phenomena
We consider the Cauchy problem for the integrable nonlocal nonlinear Schrödinger equation \[ \I q_{t}(x,t)+q_{xx}(x,t)+2 q^{2}(x,t)\bar{q}(-x,t)=0, \] subject to the step-like initial data: $q(x,0)\to0$ as $x\to-\infty$ and $q(x,0)\simeq Ae^{2\I Bx}$ as $x\to\infty$, where $A>0$ and $B\in\mathbb{R}$.
Yan Rybalko, Dmitry Shepelsky, Shou-Fu Tian   +2 more
openaire   +2 more sources

On the class of pointwise and integrally loaded differential equations

Қарағанды университетінің хабаршысы. Математика сериясы
We investigate a system of linear ordinary differential equations containing point and integral loadings with nonlocal boundary conditions. Boundary conditions include integral and point values of the unknown function.
K.R. Aida-zade, V.M. Abdullayev
doaj   +1 more source

Existence and Uniqueness Results for Hadamard-Type Fractional Differential Equations with Nonlocal Fractional Integral Boundary Conditions

Abstract and Applied Analysis, 2014
We study the existence and uniqueness of solutions for a fractional boundary value problem involving Hadamard-type fractional differential equations and nonlocal fractional integral boundary conditions. Our results are based on some classical fixed point
Phollakrit Thiramanus, Sotiris K. Ntouyas, Jessada Tariboon   +2 more
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Solution of two-dimensional parabolic equation with nonlocal integral boundary conditions

Lietuvos matematikos rinkinys, 2011
Two-dimensional parabolic equation with nonlocal integral boundary conditions in a rectangle domain in this paper is solved by  alternating direction method. To find the solutions of this problem we are looking to solve a linear system of equations. This algorithm is realized on particular example and assess the error of solution.
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On the nonlocal boundary value problem for the elliptic differential equations with integral type Samarskii-Ionkin conditions

Современная математика: Фундаментальные направления
The present paper is devoted to the study of the abstract nonlocal boundary value problem with integral type Samarskii–Ionkin conditions for the differential equation of elliptic type \[\hspace{-6em} -u''(t)+Au(t)=f(t)\quad (0\leq t\leq T),\quad u\left(
Allaberen Ashyralyev, Ayman Hamad
doaj   +1 more source