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Fractional Differential Equations with Anti-Periodic Boundary Conditions

Numerical Functional Analysis and Optimization, 2013
We are concerned with the existence of solutions of a class of fractional differential equations with anti-periodic boundary conditions involving the Caputo fractional derivative. We give two results: the first is based on Banach's fixed-point theorem, and the second is based on Schauder's fixed-point theorem.
Mouffak Benchohra   +2 more
openaire   +1 more source

Anti-periodic boundary value problems for fractional $$q$$ q -difference equations

Journal of Applied Mathematics and Computing, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Xinhui, Han, Zhenlai, Sun, Shurong
openaire   +2 more sources

Existence of solutions for anti-periodic boundary value problems

Nonlinear Analysis: Theory, Methods & Applications, 2009
The article is concerned with the anti-periodic boundary value problem \[ x''+f(t,x)=0,\;\;0\leq t\leq T, \;\; x(0)+x(T)=0,\;\;x'(0)+x'(T)=0,\eqno(1) \] where \(f(t,x)\) is continuous in \((t,x)\). One of the results is the existence of at least one solution to (1) when for some \(\lambda>0\) we have \(| f(t,x)+\lambda x| \leq p(t)\psi (| x| )\) and \(\
Wang, Weibing, Shen, Jianhua
openaire   +1 more source

Existence of Anti-Periodic Solutions for Parabolic Hemivariational Inequality

AIP Conference Proceedings, 2009
In this paper we consider the problem of existence of anti‐periodic solutions for parabolic hemivariational inequality with a pseudomonotone operator. We first give the surjectivity result then prove a existence of anti‐periodic solutions for parabolic hemivariational inequality with the surjectivity result.
Jong Yeoul Park   +3 more
openaire   +1 more source

Anti-periodic solutions for forced Rayleigh-type equations

Nonlinear Analysis: Real World Applications, 2009
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openaire   +2 more sources

A Three Fractional Order Jerk Equation With Anti Periodic Conditions

We study a new Jerk equation involving three fractional derivatives and anti periodic conditions. By Banach contraction principle, we present an existence and uniqueness result for the considered problem. Then, by applications of Krasnoselskii fixed point theorem, another result for the existence of at least one solution is established.
Zoubir Dahmani   +2 more
openaire   +2 more sources

Anti-periodic mild solutions to semilinear fractional differential equations

Journal of Applied Mathematics and Computing, 2014
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Liu, Jinghuai   +2 more
openaire   +2 more sources

Existence of anti-periodic solutions for hemivariational inequalities

Frontiers of Mathematics in China, 2018
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openaire   +1 more source

Mixed Equilibrium Problems and Anti-periodic Solutions for Nonlinear Evolution Equations

Journal of Optimization Theory and Applications, 2015
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Chadli, Ouayl   +2 more
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Multiple Anti-Periodic Solutions to a Discrete Fourth Order Nonlinear Equation

Differential Equations and Dynamical Systems, 2016
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Graef, John R.   +2 more
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