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  1. The current study is devoted to deriving some results about existence and stability analysis for a nonlinear problem of implicit fractional differential equations (FODEs) with impulsive and integral boundary c...

    Authors: Arshad Ali, Kamal Shah, Thabet Abdeljawad, Ibrahim Mahariq and Mostafa Rashdan

    Citation: Boundary Value Problems 2021 2021:7

    Content type: Research

    Published on:

  2. Results reported in this paper study the existence and stability of a class of implicit generalized proportional fractional integro-differential Langevin equations with nonlocal fractional integral conditions....

    Authors: Bounmy Khaminsou, Chatthai Thaiprayoon, Jehad Alzabut and Weerawat Sudsutad

    Citation: Boundary Value Problems 2020 2020:176

    Content type: Research

    Published on:

  3. In this paper, we prove the global existence and exponential energy decay results of a coupled Lamé system with distributed time delay, nonlinear source term, and without memory term by using the Faedo–Galerki...

    Authors: Salah Boulaaras and Nadjat Doudi

    Citation: Boundary Value Problems 2020 2020:173

    Content type: Research

    Published on:

  4. The paper studies the global existence and general decay of solutions using Lyapunov functional for a nonlinear wave equation, taking into account the fractional derivative boundary condition and memory term. ...

    Authors: Salah Boulaaras, Fares Kamache, Youcef Bouizem and Rafik Guefaifia

    Citation: Boundary Value Problems 2020 2020:172

    Content type: Research

    Published on:

  5. This work is concerned with a system of two singular viscoelastic equations with general source terms and nonlocal boundary conditions. We discuss the stabilization of this system under a very general assumpti...

    Authors: Mohammad M. Al-Gharabli, Adel M. Al-Mahdi and Salim A. Messaoudi

    Citation: Boundary Value Problems 2020 2020:170

    Content type: Research

    Published on:

  6. The purpose of this study is to discuss the existence of solutions for a boundary value problem at resonance generated by a nonlinear differential equation involving both right and left Caputo fractional deriv...

    Authors: Assia Guezane-Lakoud and Adem Kılıçman

    Citation: Boundary Value Problems 2020 2020:168

    Content type: Research

    Published on:

  7. This paper deals with the iterative algorithm and the implementation of the spectral discretization of time-dependent Navier–Stokes equations in dimensions two and three. We present a variational formulation, ...

    Authors: Mohamed Abdelwahed, Ebtisam Alharbi, Nejmeddine Chorfi and Henda Ouertani

    Citation: Boundary Value Problems 2020 2020:167

    Content type: Research

    Published on:

  8. In this thesis, we investigate a kind of impulsive fractional order differential systems involving control terms. By using a class of φ-concave-convex mixed monotone operator fixed point theorem, we obtain a theo...

    Authors: Shu Song, Lingling Zhang, Bibo Zhou and Nan Zhang

    Citation: Boundary Value Problems 2020 2020:162

    Content type: Research

    Published on:

  9. In this paper, we consider the three-dimensional compressible Navier–Stokes equations with density-dependent viscosity and vorticity-slip boundary condition in a bounded smooth domain. The main idea is to deri...

    Authors: Dandan Ren, Yunting Ding and Xinfeng Liang

    Citation: Boundary Value Problems 2020 2020:158

    Content type: Research

    Published on:

  10. The aim of this paper is to show some applications of Sobolev inequalities in partial differential equations. With the aid of some well-known inequalities, we derive the existence of global solution for the qu...

    Authors: Yuanfei Li, Lianhong Guo and Peng Zeng

    Citation: Boundary Value Problems 2020 2020:156

    Content type: Research

    Published on:

  11. In this work, we propose a nonstationary Navier–Stokes problem equipped with an unusual boundary condition. The time discretization of such a problem is based on the backward Euler’s scheme. However, the varia...

    Authors: Mohamed Abdelwahed and Nejmeddine Chorfi

    Citation: Boundary Value Problems 2020 2020:152

    Content type: Research

    Published on:

  12. In this paper, we deal with a class of fractional critical problems. Under some suitable assumptions, we derive the existence of a positive solution concentrating at the critical point of the Robin function by...

    Authors: Qingfang Wang

    Citation: Boundary Value Problems 2020 2020:145

    Content type: Review

    Published on:

  13. This paper is concerned with the existence of infinitely many positive solutions to a class of double phase problem. By variational methods and the theory of the Musielak–Orlicz–Sobolev space, we establish the...

    Authors: Bei-Lei Zhang, Bin Ge and Gang-Ling Hou

    Citation: Boundary Value Problems 2020 2020:142

    Content type: Research

    Published on:

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