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  1. In this article, a generalization of Darbo’s fixed point theorem using a new contraction operator is obtained to solve our proposed hybrid differential and fractional hybrid differential equations in a Banach ...

    Authors: Anupam Das, Sudip Deb, Rupanjali Goswami, Tazuddin Ahmed, Zeynab Izadi and Vahid Parvaneh
    Citation: Boundary Value Problems 2023 2023:112
  2. This paper presents a new way to solve numerically multiterm variable-order fractional differential equations (MTVOFDEs) with initial conditions by using a class of modified shifted Jacobi polynomials (MSJPs)....

    Authors: H. M. Ahmed
    Citation: Boundary Value Problems 2023 2023:108
  3. In this paper, we consider the time-decay rate of the strong solution to the Cauchy problem for the three-dimensional Lüst model. In particular, the optimal decay rates of the higher-order spatial derivatives ...

    Authors: Ying Sheng
    Citation: Boundary Value Problems 2023 2023:106
  4. The objective of this work is to investigate the perturbed Gerdjikov–Ivanov (GI) equation along spatio-temporal dispersion which explains the dynamics of soliton dispersion and evolution of propagation distanc...

    Authors: Hamood Ur Rehman, Ifrah Iqbal, M. Mirzazadeh, Salma Haque, Nabil Mlaiki and Wasfi Shatanawi
    Citation: Boundary Value Problems 2023 2023:105
  5. We compute the numerical solution of the Bratu’s boundary value problem (BVP) on a Banach space setting. To do this, we embed a Green’s function into a new two-step iteration scheme. After this, under some ass...

    Authors: Junaid Ahmad, Muhammad Arshad, Kifayat Ullah and Zhenhua Ma
    Citation: Boundary Value Problems 2023 2023:102
  6. We study the determination of some rigid inclusions immersed in an isotropic elastic medium from overdetermined boundary data. We propose an accurate approach based on the topological sensitivity technique and...

    Authors: Mohamed Abdelwahed, Nejmeddine Chorfi and Maatoug Hassine
    Citation: Boundary Value Problems 2023 2023:101
  7. In this paper, new generalized weighted fractional derivatives with respect to another function are derived in the sense of Caputo and Riemann–Liouville involving a new modified version of a generalized Mittag...

    Authors: Sabri T. M. Thabet, Thabet Abdeljawad, Imed Kedim and M. Iadh Ayari
    Citation: Boundary Value Problems 2023 2023:100
  8. Introducing a new generalized multivariate Mittag-Leffler function which is a generalization of the multivariate Mittag-Leffler function, we derive a sufficient condition for the uniqueness of solutions to a b...

    Authors: Chenkuan Li, Reza Saadati, Joshua Beaudin and Andrii Hrytsenko
    Citation: Boundary Value Problems 2023 2023:96
  9. The asymptotic behavior of solutions for a new class of generalized Halanay inequalities is studied via the fixed point method. This research provides a new approach to the study of the stability of Halanay in...

    Authors: Chunsheng Wang, Han Chen, Runpeng Lin, Ying Sheng and Feng Jiao
    Citation: Boundary Value Problems 2023 2023:95
  10. In this paper, we study the initial boundary value problem for the following viscoelastic wave equation with Balakrishnan–Taylor damping and a delay term where the relaxation function satisfies ...

    Authors: Billel Gheraibia and Nouri Boumaza
    Citation: Boundary Value Problems 2023 2023:93
  11. This paper is devoted to the investigation of Ulam stability of first-order nonlinear impulsive dynamic equations on finite-time scale intervals. Our main objective is to formulate sufficient conditions under ...

    Authors: Pallavi Scindia, Sanket Tikare and Ahmed A. El-Deeb
    Citation: Boundary Value Problems 2023 2023:86
  12. In this paper, the existence of the multiple positive solutions for a class of higher-order fractional differential equations on infinite intervals with infinite-point boundary value conditions is mainly studi...

    Authors: Ziyue Cui and Zongfu Zhou
    Citation: Boundary Value Problems 2023 2023:85
  13. Establishing financial models or economic models to describe economic phenomena in real life has become a heated discussion in society at present. From a mathematical point of view, the exploration on dynamics...

    Authors: Zixin Liu, Wenfang Li, Changjin Xu, Chunfeng Liu, Dan Mu, Mengzhu Xu, Wei Ou and Qingyi Cui
    Citation: Boundary Value Problems 2023 2023:82
  14. In this study, we consider a prey–predator model with prey refuge and intraspecific competition between predators using the Crowley–Martin functional response and investigate the dynamic characteristics of spa...

    Authors: Maruthai Selvaraj Surendar, Muniagounder Sambath, Krishnan Balachandran and Yong-Ki Ma
    Citation: Boundary Value Problems 2023 2023:81
  15. In this paper, we consider the nonclassical diffusion equation with memory and the nonlinearity of the polynomial growth condition of arbitrary order in the time-dependent space. First, the well-posedness of t...

    Authors: Jing Wang, Qiaozhen Ma, Wenxue Zhou and Xiaobin Yao
    Citation: Boundary Value Problems 2023 2023:79
  16. The objective of this article is to investigate how the properties of a non-Newtonian Williamson nanofluid flow, which occurs due to an exponential stretching sheet placed in a porous medium, are influenced by...

    Authors: M. M. Khader, M. M. Babatin and Ahmed M. Megahed
    Citation: Boundary Value Problems 2023 2023:77
  17. In this article, we use coupled boundary conditions on a nonlinear system with ψ-Caputo fractional derivatives to derive new conclusions on the solution’s existence, uniqueness, and stability. We use the well-kno...

    Authors: Poovarasan R, Pushpendra Kumar, V. Govindaraj and Marina Murillo-Arcila
    Citation: Boundary Value Problems 2023 2023:75
  18. This ongoing work is vehemently dedicated to the investigation of a class of ordinary linear Volterra type integro-differential equations with fractional order in numerical mode. By replacing the unknown funct...

    Authors: T. Allahviranloo, A. Jafarian, R. Saneifard, N. Ghalami, S. Measoomy Nia, F. Kiani, U. Fernandez-Gamiz and S. Noeiaghdam
    Citation: Boundary Value Problems 2023 2023:74
  19. The decay rate of solutions to a Bresse system in thermoelasticity of type III with respect to the distributed delay term is the subject of this study. We demonstrate our major finding utilising the energy app...

    Authors: Abdelbaki Choucha, Salah Boulaaras, Rashid Jan and Rafik Guefaifia
    Citation: Boundary Value Problems 2023 2023:67

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