On a partial Hadamard fractional integral inclusion

Abstract

We study a class of nonconvex Hadamard fractional integral inclusions and we establish some Filippov type existence results.

Authors and Affiliations

Aurelian Cernea

Keywords

Related Articles

A general class of McKean-Vlasov stochastic evolution equations driven by Brownian motion and Lèvy process and controlled by Lèvy measure

In this paper we consider McKean-Vlasov stochastic evolution equations on Hilbert spaces driven by Brownian motion and Lèvy process and controlled by Lèvy measures. We prove existence and uniqueness of solutions and regu...

Boundedness of set-valued stochastic integrals

The paper deals with integrable boundedness of Itô set-valued stochastic integrals defined by E.J. Jung and J.H. Kim in the paper [4], where has not been proved that this integral is integrable bounded. The problem of in...

Entropy solution for doubly nonlinear elliptic anisotropic problems with Fourier boundary conditions

The goal of this paper is to study nonlinear anisotropic problems with Fourier boundary conditions. We first prove, by using the technic of monotone operators in Banach spaces, the existence of weak solutions, and by app...

New results on fractional neutral integro-differential systems with state-dependent delay via resolvent operators

In this manuscript, we set up sufficient conditions for existence and uniqueness of solutions for fractional neutral integro-differential systems (FNIDS) with state-dependent delay (SDD) in Banach spaces. Our methodology...

On properties of set-valued integrals driven by martingales and set-valued stochastic equations

In the paper we study properties of stochastic integrals of Aumann type driven by quadratic variation process and set-valued Itô integral with respect to martingale. Next, the existence, uniqueness and convergence proper...

Download PDF file
  • EP ID EP479955
  • DOI 10.7151/dmdico.1188
  • Views 41
  • Downloads 0

How To Cite

Aurelian Cernea (2016). On a partial Hadamard fractional integral inclusion. Discussiones Mathematicae Differential Inclusions Control and Optimization, 36(2), 141-153. https://europub.co.uk/articles/-A-479955