El-Deeb, A. A. Khan, Zareen A.
Published in
Boundary Value Problems

Several inequalities were proved in 2018 by Boudeliou, in 2015 by Abdeldain and El-Deeb and in 1998 by Pachpatte. It is our aim in this paper to generalize these inequalities to time scales. Beside that, we also apply our inequalities to discrete and continuous calculus to obtain some new inequalities as special cases. Furthermore, we study the bou...

Juodagalvytė, R. Panasenko, G. Pileckas, K.
Published in
Boundary Value Problems

The time periodic Navier–Stokes equations are considered in the three-dimensional and two-dimensional settings with Dirichlet boundary conditions in thin tube structures. These structures are finite union of thin cylinders (thin rectangles in the case of dimension two), where the small parameter ε is the ratio of the hight and the diameter of the c...

Jiang, Ruiting Zhai, Chengbo
Published in
Boundary Value Problems

In this paper, we consider the following nonhomogeneous fractional Schrödinger–Poisson equations: {(−Δ)su+V(x)u+ϕu=f(x,u)+g(x)in R3,(−Δ)tϕ=u2in R3,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin...

Xie, Xiaozhen Viouonu, Costanza T.
Published in
Boundary Value Problems

The Editors-in-Chief have retracted this article [1] because it significantly overlaps with an article by different authors [2] that was simultaneously under consideration at another journal. The article also showed evidence of authorship manipulation. In addition, the identity of the corresponding author could not be verified: Hasselt University h...

Zhou, Bibo Zhang, Lingling Addai, Emmanuel Zhang, Nan
Published in
Boundary Value Problems

In this paper, we study the existence of multiple positive solutions for boundary value problems of high-order Riemann–Liouville fractional differential equations involving the p-Laplacian operator. Not only new existence conclusions of two positive solutions are obtained by employing functional-type cone expansion-compression fixed point theorem, ...

Hou, Gangling Ge, Bin Zhang, Beilei Wang, Liyan
Published in
Boundary Value Problems

This paper is concerned with the following double-phase problem: {−div(|∇u|p−2∇u+a(x)|∇u|q−2∇u)=f(x,u)in Ω,u=0on ∂Ω,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \te...

Li, Peiluan Xu, Liang Wang, Hui Wang, Yumeng
Published in
Boundary Value Problems

In the present paper, the existence of nontrivial solutions of impulsive fractional differential equations with Dirichlet boundary conditions is studied. We apply Morse theory coupled with local linking arguments to solve the topic, and we prove the existence of at least one nontrivial solution for the impulsive fractional differential equations.

Duan, Xueliang Wei, Gongming Yang, Haitao
Published in
Boundary Value Problems

We study a coupled Schrödinger system with general nonlinearities. By using variational methods, we prove the existence and asymptotic behaviour of ground state solution for the system with periodic couplings. Moreover, we prove the existence and nonexistence of ground state solution for the system with non-periodic couplings via Nehari manifold me...

Song, Shiying Cui, Yujun
Published in
Boundary Value Problems

In this paper, we concerned the existence of solutions of the following nonlinear mixed fractional differential equation with the integral boundary value problem: {D1−αCD0+βu(t)=f(t,u(t),D0+β+1u(t),D0+βu(t)),0

Emadifar, Homan Jalilian, Reza
Published in
Boundary Value Problems

In this paper, we approximate the solution of fractional Bagley–Torvik equation by using the exponential spline function and the shifted Grünwald difference operator. The proposed methods reduce to the system of algebraic equations. The convergence analysis of the methods has been discussed. The numerical examples are presented to illustrate the ap...