Results 81 to 90 of about 53,002 (179)

Null controllability of fractional dynamical system with nonlocal initial condition

Journal of Fractional Calculus and Applications
Summary: In this paper, we examine the conditions of exact null controllability of fractional dynamical system with nonlocal initial condition in infinite dimensional setting. The fractional derivatives used in the system are in Caputo sense and order of the derivatives are taken as \(r\in(0,1)\).
Borah, Jayanta, Hazarika, Dibyajyoti, Sing, Bhupendra Kumar   +2 more
openaire   +2 more sources

A boundary value problem with an integral condition for a certain fractional differential equation

Mathematical Modelling and Analysis
The aim of this work is to prove the existence and the uniqueness of the solution of one dimensional initial boundary value problem for a parabolic equation with a Caputo time fractional differential operator supplemented by periodic nonlocal boundary ...
Bouthina Sabah Hammou, Abdelkader Djerad, Ameur Memou, Chahla Latrous   +3 more
doaj   +1 more source

Abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm

Advances in Difference Equations, 2011
In the present paper, we deal with the Cauchy problems of abstract fractional integro-differential equations involving nonlocal initial conditions in α-norm, where the operator A in the linear part is the generator of a compact analytic semigroup ...
Wang Rong-Nian, Liu Jun, Chen De-Han
doaj  

Nonlocal Conditions for Lower Semicontinuous Parabolic Inclusions

Advances in Difference Equations, 2011
We discuss conditions for the existence of at least one solution of a discontinuous parabolic equation with lower semicontinuous right hand side and a nonlocal initial condition of integral type.
Boucherif Abdelkader
doaj  

Existence of solutions for one-dimensional wave equations with nonlocal conditions

Electronic Journal of Differential Equations, 2001
In this article we study an initial and boundary-value problem with a nonlocal integral condition for a one-dimensional wave equation. We prove existence and uniqueness of classical solution and find its Fourier representation. The basis used consists of
Sergei A. Beilin
doaj  

Nonlocal conditions for differential inclusions in the space of functions of bounded variations

Advances in Difference Equations, 2011
We discuss the existence of solutions of an abstract differential inclusion, with a right-hand side of bounded variation and subject to a nonlocal initial condition of integral type.
Boucherif Abdelkader, Agarwal Ravi
doaj  

Boundary condition of the volume potential for an elliptic-parabolic equation with a scalar parameter

Electronic Journal of Differential Equations, 2018
Using the descent method for the fundamental solution of the heat equation with a scalar parameter, we find the fundamental solution of the multidimensional Helmholtz equation in an explicit form.
Tynysbek Sh. Kal'menov, Gaukhar D. Arepova, Dana D. Arepova   +2 more
doaj  

Guiding potential method for differential inclusions with nonlocal conditions

Electronic Journal of Differential Equations, 2015
This article shows the existence of solutions to some nonlocal initial-value problems for differential inclusions. The guiding potential method is used and the topological degree theory for admissible multivalued vector fields is applied.
Radoslaw Pietkun
doaj  

Existence of global solutions to nonlinear mixed Volterra-Fredholm integrodifferential equations with nonlocal conditions

Electronic Journal of Differential Equations, 2009
In this paper, we investigate the existence of global solutions to first-order initial-value problems, with nonlocal condition for nonlinear mixed Volterra-Fredholm integrodifferential equations in Banach spaces. The technique used in our analysis is
Haribhau L. Tidke
doaj  

Thermomechanical load in a nonlocal rotating magneto-thermoelastic orthotropic material with Green Naghdi-III model. [PDF]

Sci Rep
Salah DM, Abd-Alla AM, El-Kabeir SMM, Bayones FS.   +3 more
europepmc   +1 more source