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  1. In this paper, we give some basic concepts of q-calculus that will be needed in this paper. Then, we built the q-nonlocal condition that ensures the solution existence and uniqueness of the fractional q-integrodi...

    Authors: Amira Abd-Elall Ibrahim, Afaf A. S. Zaghrout, K. R. Raslan and Khalid K. Ali
    Citation: Boundary Value Problems 2022 2022:98
  2. In this article, we study an inverse problem (IP) for a fourth-order hyperbolic equation with nonlocal boundary conditions. This IP is reduced to the not self-adjoint boundary value problem (BVP) with correspo...

    Authors: Yashar T. Mehraliyev, M. J. Huntul, Aysel T. Ramazanova, Mohammad Tamsir and Homan Emadifar
    Citation: Boundary Value Problems 2022 2022:96
  3. In this article, we consider a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity. We prove explicit and general decay rate results of the solution to the viscoelast...

    Authors: Bhargav Kumar Kakumani and Suman Prabha Yadav
    Citation: Boundary Value Problems 2022 2022:95
  4. We consider a time-dependent Navier–Stokes problem in dimension two and three provided with mixed boundary conditions. We propose an iterative algorithm and its implementation for resolving this considered pro...

    Authors: Mohamed Abdelwahed, Nejmeddine Chorfi, Najeh Mezghani and Henda Ouertani
    Citation: Boundary Value Problems 2022 2022:94
  5. This paper presents the solution of important types of non-linear time-fractional partial differential equations via the conformable Elzaki transform Homotopy perturbation method. We apply the proposed techniq...

    Authors: Sajad Iqbal, Francisco Martínez, Mohammed K. A. Kaabar and Mohammad Esmael Samei
    Citation: Boundary Value Problems 2022 2022:91
  6. This article investigates the existence of solutions of mixed Hilfer fractional differential equations with p-Laplacian under the functional boundary conditions at resonance. By defining Banach spaces with app...

    Authors: Fanmeng Meng, Weihua Jiang, Chunjing Guo and Lina Zhou
    Citation: Boundary Value Problems 2022 2022:81
  7. In the paper, we study the oscillatory and spectral properties of a fourth-order differential operator. These properties are established based on the validity of some weighted second-order differential inequal...

    Authors: Askar Baiarystanov, Aigerim Kalybay and Ryskul Oinarov
    Citation: Boundary Value Problems 2022 2022:78
  8. Recently, Gao and Yao established the global existence and temporal decay rates of solutions for a system of compressible Hall-magnetohydrodynamic fluids (Gao and Yao in Discrete Contin. Dyn. Syst. 36: 3077–31...

    Authors: Rui Sun, Yuting Guo and Weiwei Wang
    Citation: Boundary Value Problems 2022 2022:76
  9. This paper deals with the existence of solutions for the noncooperative Schrödinger–Kirchhoff system involving the p-Laplacian operator and critical nonlinearities on the Heisenberg group. Under some suitable con...

    Authors: Xueqi Sun, Shujie Bai and Yueqiang Song
    Citation: Boundary Value Problems 2022 2022:75
  10. In this paper, an energy-stable Crank–Nicolson fully discrete finite element scheme is proposed for the Benjamin–Bona–Mahony–Burgers equation. Firstly, the stability of energy is proved, which leads to the bou...

    Authors: Lele Wang, Xin Liao and Huaijun Yang
    Citation: Boundary Value Problems 2022 2022:72
  11. The Bénard problem consists in a system that couples the well-known Navier–Stokes equations and an advection-diffusion equation. In thin varying domains this leads to the g-Bénard problem, which turns out to be t...

    Authors: Khadija Aayadi, Khalid Akhlil, Sultana Ben Aadi and Hicham Mahdioui
    Citation: Boundary Value Problems 2022 2022:70
  12. This paper deals with the linear theory of thermoelastic Cosserat bodies. At the beginning, we formulate the mixed initial-boundary value problem in this context and obtain new theorems of reciprocity in the t...

    Authors: Marin Marin, Iana M. Fudulu and Sorin Vlase
    Citation: Boundary Value Problems 2022 2022:69
  13. Our main objectives in this paper are to investigate the existence of the solutions for an integro-differential inclusion of second order with hybrid nonlocal boundary value conditions. The sufficient conditio...

    Authors: Ahmed El-Sayed, Hind Hashem and Shorouk Al-Issa
    Citation: Boundary Value Problems 2022 2022:68
  14. In this paper, we study the existence and multiplicity of ρ-concave positive solutions for a p-Laplacian boundary value problem of two-sided fractional differential equations involving generalized-Caputo fraction...

    Authors: Farid Chabane, Maamar Benbachir, Mohammed Hachama and Mohammad Esmael Samei
    Citation: Boundary Value Problems 2022 2022:65
  15. This paper aims to consider the multiplicity of solutions for a kind of boundary value problem to a fractional quasilinear differential model with impulsive effects. By establishing a new variational structure...

    Authors: Xiaohui Shen and Tengfei Shen
    Citation: Boundary Value Problems 2022 2022:60
  16. This manuscript proves the existence of a nonnegative, nontrivial solution to a class of double-phase problems involving potential functions and logarithmic nonlinearity in the setting of Sobolev space on comp...

    Authors: Ahmed Aberqi, Omar Benslimane, Mhamed Elmassoudi and Maria Alessandra Ragusa
    Citation: Boundary Value Problems 2022 2022:57
  17. The nonlocal competition in prey and schooling behavior among predators are incorporated in a delayed diffusive predator–prey model. Our main interest is to study the dynamic properties of the model generated ...

    Authors: Ruizhi Yang, Xiaowen Zhang and Dan Jin
    Citation: Boundary Value Problems 2022 2022:56
  18. In this paper, we consider the general decay of solutions for the weak viscoelastic equation of Kirchhoff type containing Balakrishnan–Taylor damping with nonlinear delay and acoustic boundary conditions. By u...

    Authors: Min Yoon, Mi Jin Lee and Jum-Ran Kang
    Citation: Boundary Value Problems 2022 2022:51

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