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  1. We prove the existence of the solutions for the new mixed differential equations, which is characteristic of the right-sided Caputo and the left-sided Riemann–Liouville fractional derivatives. There are four m...

    Authors: Yujing Liu, Chenguang Yan and Weihua Jiang
    Citation: Boundary Value Problems 2023 2023:9
  2. In this paper, we investigate the existence and uniqueness of fractional differential equations (FDEs) by using the fixed-point theory (FPT). We discuss also the Ulam–Hyers–Rassias (UHR) stability of some gene...

    Authors: Abdellatif Ben Makhlouf, El-sayed El-hady, Hassen Arfaoui, Salah Boulaaras and Lassaad Mchiri
    Citation: Boundary Value Problems 2023 2023:8
  3. The purpose of this work is to investigate the necessary conditions for the existence and uniqueness of solutions, and to introduce a new idea of α-confluent-hyper-geometric stability of an impulsive fractional d...

    Authors: Mohammad Bagher Ghaemi, Fatemeh Mottaghi and Reza Saadati
    Citation: Boundary Value Problems 2023 2023:4
  4. In this article, we focus on triple weak solutions for some p-Laplacian-type elliptic equations with Hardy potential, two parameters, and mixed boundary conditions. We show the existence of at least three dist...

    Authors: Jian Liu and Zengqin Zhao
    Citation: Boundary Value Problems 2023 2023:3
  5. In this present manuscript, by applying fractional quantum calculus, we study a nonlinear fractional pantograph q-difference equation with nonlocal boundary conditions. We prove the existence and uniqueness resul...

    Authors: Adel Lachouri, Mohammad Esmael Samei and Abdelouaheb Ardjouni
    Citation: Boundary Value Problems 2023 2023:2
  6. In this article, we propose an iterative method, called the GA iterative method, to approximate the fixed points of generalized α-nonexpansive mappings in uniformly convex Banach spaces. Further, we obtain some c...

    Authors: Godwin Amechi Okeke, Austine Efut Ofem and Hüseyin Işık
    Citation: Boundary Value Problems 2022 2022:103
  7. In this paper, we consider the Cauchy problem for fractional evolution equations with the Caputo derivative. This problem is not well posed in the sense of Hadamard. There have been many results on this proble...

    Authors: Nguyen Duc Phuong, Dumitru Baleanu, Ravi P. Agarwal and Le Dinh Long
    Citation: Boundary Value Problems 2022 2022:100
  8. The paper is devoted to finding a solution and restoring the right-hand side of the heat equation with reflection of the argument in the second derivative, with a complex-valued variable coefficient. We prove ...

    Authors: Elmira Mussirepova, Abdissalam Sarsenbi and Abdizhahan Sarsenbi
    Citation: Boundary Value Problems 2022 2022:99
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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

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