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Existence results for systems of conformable fractional differential equations

Bouharket Bendouma; Alberto Cabada; Ahmed Hammoudi — 2019

Archivum Mathematicum

In this article, we study the existence of solutions to systems of conformable fractional differential equations with periodic boundary value or initial value conditions. where the right member of the system is $L_{α}^{1}$ -carathéodory function. We employ the method of solution-tube and Schauder’s fixed-point theorem.

Existence results for $ϕ$ -Laplacian boundary value problems on time scales.

Cabada, Alberto — 2006

Advances in Difference Equations [electronic only]

The method of lower and upper solutions for periodic and anti-periodic difference equations.

Cabada, Alberto — 2007

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

An overview of the lower and upper solutions method with nonlinear boundary value conditions.

Cabada, Alberto — 2011

Boundary Value Problems [electronic only]

The method of lower and upper solutions for $n$ th-order periodic boundary value problems.

Cabada, Alberto — 1994

Journal of Applied Mathematics and Stochastic Analysis

Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions

Ming-Xing Wang; Alberto Cabada; Juan J. Nieto — 1993

Annales Polonici Mathematici

The purpose of this paper is to study the periodic boundary value problem -u''(t) = f(t,u(t),u'(t)), u(0) = u(2π), u'(0) = u'(2π) when f satisfies the Carathéodory conditions. We show that a generalized upper and lower solution method is still valid, and develop a monotone iterative technique for finding minimal and maximal solutions.

Existence and uniqueness of solutions of higher-order antiperiodic dynamic equations.

Cabada, Alberto; Vivero, Dolores R. — 2004

Advances in Difference Equations [electronic only]

On homoclinic solutions of a semilinear $p$ -Laplacian difference equation with periodic coefficients.

Cabada, Alberto; Li, Chengyue; Tersian, Stepan — 2010

Advances in Difference Equations [electronic only]

An existence result for nonlinear fractional differential equations on Banach spaces.

Benchohra, Mouffak; Cabada, Alberto; Seba, Djamila — 2009

Boundary Value Problems [electronic only]

Existence of solutions for elliptic systems with nonlocal terms in one dimension.

Cabada, Alberto; Cid, J.Ángel; Sanchez, Luís — 2011

Boundary Value Problems [electronic only]

Existence and multiplicity of solutions for a periodic Hill's equation with parametric dependence and singularities.

Cabada, Alberto; Cid, José Ángel — 2011

Abstract and Applied Analysis

A generalized upper and lower solutions method for nonlinear second order ordinary differential equations.

Nieto, Juan J.; Cabada, Alberto — 1992

Journal of Applied Mathematics and Stochastic Analysis

Extremality results for singular functional diffusion equations

Cabada, Alberto; Cid, José Angel; Pouso, Rodrigo L. — 2002

Equadiff 10

Rapid convergence of approximate solutions for first order nonlinear boundary value problems.

Cabada, Alberto; Nieto, Juan J.; Heikkilä, Seppo — 1998

International Journal of Mathematics and Mathematical Sciences

Stability of periodic solutions of first-order difference equations lying between lower and upper solutions.

Cabada, Alberto; Otero-Espinar, Victoria; Rodríguez-Vivero, Dolores — 2005

Advances in Difference Equations [electronic only]

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Currently displaying 1 – 15 of 15

Existence results for systems of conformable fractional differential equations

Existence results for $ϕ$ -Laplacian boundary value problems on time scales.

The method of lower and upper solutions for periodic and anti-periodic difference equations.

An overview of the lower and upper solutions method with nonlinear boundary value conditions.

The method of lower and upper solutions for $n$ th-order periodic boundary value problems.

Monotone method for nonlinear second order periodic boundary value problems with Carathéodory functions

Existence and uniqueness of solutions of higher-order antiperiodic dynamic equations.

On homoclinic solutions of a semilinear $p$ -Laplacian difference equation with periodic coefficients.

An existence result for nonlinear fractional differential equations on Banach spaces.

Existence of solutions for elliptic systems with nonlocal terms in one dimension.

Existence and multiplicity of solutions for a periodic Hill's equation with parametric dependence and singularities.

A generalized upper and lower solutions method for nonlinear second order ordinary differential equations.

Extremality results for singular functional diffusion equations

Rapid convergence of approximate solutions for first order nonlinear boundary value problems.

Stability of periodic solutions of first-order difference equations lying between lower and upper solutions.