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Differential Equations with Nonlocal and Functional Terms

Differential equations with nonlocal and functional terms has become an active area of research; these terms may occur in the differential equation and/or in the initial or boundary conditions. Their study is driven not only by theoretical interest but also by the fact that these type of problems occur naturally when modeling real-world applications.

This special issue focuses on all aspects of nonlocal and functional terms including discrete and continuous equations, regular, singular and resonant problems and their applications.

Edited by: Gennaro Infante, Alessandro Calamai, José Ángel Cid, Feliz Manuel Minhós

  1. In this paper, we introduce and study a tripled system of three associated fractional differential equations. Prior to proceeding to the main results, the proposed system is converted into an equivalent integr...

    Authors: Mohammed M. Matar, Iman Abo Amra and Jehad Alzabut
    Citation: Boundary Value Problems 2020 2020:140
  2. This paper is concerned with the existence of a sign-changing solution to a class of quasilinear Schrödinger–Poisson systems. There are some technical difficulties in applying variational methods directly to t...

    Authors: Lizhen Chen, Xiaojing Feng and Xinan Hao
    Citation: Boundary Value Problems 2019 2019:159
  3. By using monotone iterative method, the extremal solutions and the unique solution are obtained for a nonlinear fractional p-Laplacian boundary value problem involving fractional conformable derivatives and nonlo...

    Authors: Jianfang Qin, Guotao Wang, Lihong Zhang and Bashir Ahmad
    Citation: Boundary Value Problems 2019 2019:145
  4. In this paper, we introduce and study a new kind of coupled fractional differential system involving right Caputo and left Riemann–Liouville fractional derivatives, supplemented with nonlocal three-point coupl...

    Authors: Bashir Ahmad, Sotiris K. Ntouyas and Ahmed Alsaedi
    Citation: Boundary Value Problems 2019 2019:109