Multiple Solutions for Dirichlet Impulsive Fractional Differential Inclusions Involving the p-Laplacian with Two Parameters

Abstract

In this paper, the authors establish the existence of at least three weak solutions for impulsive differential inclusions involving two parameters and the p-Laplacian and having Dirichlet boundary conditions. Their approach is based variational methods and critical point theory.

Authors and Affiliations

Samad Mohseni Kolagar, Ghasem A. Afrouzi, John R. Graef

Keywords

Related Articles

Exponential Stability of Nonlinear Non-autonomous Multivariable Systems

We consider nonlinear non-autonomous multivariable systems governed by differential equations with differentiable linear parts. Explicit conditions for the exponential stability are established. These conditions are form...

Controllability for some Partial Functional Integrodifferential Equations with Nonlocal Conditions in Banach Spaces

This work concerns the study of the controllability of some partial functional integrodifferential equation with nonlocal initial conditions in Banach spaces. It gives sufficient conditions that ensure the controllabilit...

Hybrid fractional integro-differential inclusions

In this paper we study an existence result for initial value problems for hybrid fractional integro-differential inclusions. A hybrid fixed point theorem for a sum of three operators due to Dhage is used. An example...

Fractional Differential Inclusions of Hilfer and Hadamard Types in Banach Spaces

We deal in this paper with some existence results in Banach spaces for some Hilfer and Hadamard differential inclusions of fractional order. The Mönch's fixed point theorem and the concept of measure of noncompactness ar...

Multiple Solutions for Dirichlet Impulsive Fractional Differential Inclusions Involving the p-Laplacian with Two Parameters

In this paper, the authors establish the existence of at least three weak solutions for impulsive differential inclusions involving two parameters and the p-Laplacian and having Dirichlet boundary conditions. Their appro...

Download PDF file
  • EP ID EP483662
  • DOI 10.7151/dmdico.1202
  • Views 51
  • Downloads 0

How To Cite

Samad Mohseni Kolagar, Ghasem A. Afrouzi, John R. Graef (2018). Multiple Solutions for Dirichlet Impulsive Fractional Differential Inclusions Involving the p-Laplacian with Two Parameters. Discussiones Mathematicae Differential Inclusions Control and Optimization, 38(1), 39-59. https://europub.co.uk/articles/-A-483662