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  1. In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite–Hadamard inequalities for quantum integrals. The results presented in this paper are gen...

    Authors: Yi-Xia Li, Muhammad Aamir Ali, Hüseyin Budak, Mujahid Abbas and Yu-Ming Chu
    Citation: Advances in Difference Equations 2021 2021:225
  2. Ablowitz–Kaup–Newell–Segur (AKNS) linear spectral problem gives birth to many important nonlinear mathematical physics equations including nonlocal ones. This paper derives two fractional order AKNS hierarchie...

    Authors: Bo Xu, Yufeng Zhang and Sheng Zhang
    Citation: Advances in Difference Equations 2021 2021:223
  3. In this paper, we model the insurance company’s surplus by a compound Poisson risk model, where the surplus process can only be observed at random observation times. It is assumed that the insurer observes its...

    Authors: Wenguang Yu, Peng Guo, Qi Wang, Guofeng Guan, Yujuan Huang and Xinliang Yu
    Citation: Advances in Difference Equations 2021 2021:220
  4. In this paper, we study the comparison of fuzzy differential transform method (FDTM), fuzzy Adomian decomposition method (FADM), fuzzy homotopy perturbation method (FHPM), and fuzzy reduced differential transf...

    Authors: Mawia Osman, Zengtai Gong, Altyeb Mohammed Mustafa and Hong Yang
    Citation: Advances in Difference Equations 2021 2021:219
  5. The visual beauty reflects the practicability and superiority of design dependent on the fractal theory. Based on the applicability in practice, it shows that it is the completely feasible, self-comparability ...

    Authors: Yu-Ming Chu, Saima Rashid, Thabet Abdeljawad, Aasma Khalid and Humaira Kalsoom
    Citation: Advances in Difference Equations 2021 2021:218
  6. A swarming model is a model that describes the behavior of the social aggregation of a large group of animals or the community of humans. In this work, the swarming model that includes the short-range repulsio...

    Authors: Adsadang Himakalasa and Suttida Wongkaew
    Citation: Advances in Difference Equations 2021 2021:217
  7. A class of the boundary value problem is investigated in this research work to prove the existence of solutions for the neutral fractional differential inclusions of Katugampola fractional derivative which inv...

    Authors: Sina Etemad, Mohammed Said Souid, Benoumran Telli, Mohammed K. A. Kaabar and Shahram Rezapour
    Citation: Advances in Difference Equations 2021 2021:214
  8. In this article we examine the dynamical properties of the fractional version of the snap system by means of chaotic attractor, existence, and uniqueness of the solution, symmetry, dissipativity, stagnation po...

    Authors: Emad E. Mahmoud, Pushali Trikha, Lone Seth Jahanzaib, M. Higazy and Monagi H. Alkinani
    Citation: Advances in Difference Equations 2021 2021:211
  9. Fractional differential equations sufficiently depict the nature in view of the symmetry properties, which portray physical and biological models. In this paper, we present a proficient collocation method base...

    Authors: Muhammad Yaseen, Muhammad Abbas and Muhammad Bilal Riaz
    Citation: Advances in Difference Equations 2021 2021:210
  10. In this study, we investigate the global exponential stability of Clifford-valued neural network (NN) models with impulsive effects and time-varying delays. By taking impulsive effects into consideration, we f...

    Authors: G. Rajchakit, R. Sriraman, N. Boonsatit, P. Hammachukiattikul, C. P. Lim and P. Agarwal
    Citation: Advances in Difference Equations 2021 2021:208
  11. The purpose of this paper is to investigate the numerical solutions to two-dimensional forward backward stochastic differential equations(FBSDEs). Based on the Fourier cos-cos transform, the approximations of ...

    Authors: Xiaofei Li, Yi Wu, Quanxin Zhu, Songbo Hu and Chuan Qin
    Citation: Advances in Difference Equations 2021 2021:207
  12. In this work, we consider a fractional diffusion equation with nonlocal integral condition. We give a form of the mild solution under the expression of Fourier series which contains some Mittag-Leffler functio...

    Authors: Nguyen Hoang Tuan, Nguyen Anh Triet, Nguyen Hoang Luc and Nguyen Duc Phuong
    Citation: Advances in Difference Equations 2021 2021:204
  13. We introduce a mathematical model, namely, ∗-fuzzy measure model for COVID-19 disease and consider some properties of ∗-fuzzy measure such as Lebesque–Radon–Nikodym theorem.

    Authors: Abbas Ghaffari and Reza Saadati
    Citation: Advances in Difference Equations 2021 2021:202
  14. In this research study, we are concerned with the existence and stability of solutions of a boundary value problem (BVP) of the fractional thermostat control model with ψ-Hilfer fractional operator. We verify the...

    Authors: Chatthai Thaiprayoon, Weerawat Sudsutad, Jehad Alzabut, Sina Etemad and Shahram Rezapour
    Citation: Advances in Difference Equations 2021 2021:201
  15. The main intention of this article is that new techniques of existence theory are used to derive some required criteria pertinent to a given fractional multi-term problem and its inclusion version. In such an ...

    Authors: Dumitru Baleanu, Muhammad Qamar Iqbal, Azhar Hussain, Sina Etemad and Shahram Rezapour
    Citation: Advances in Difference Equations 2021 2021:197
  16. In this study, we investigate a new fourth-order integrable nonlinear equation. Firstly, by means of the efficient Hirota bilinear approach, we establish novel types of solutions which include breather, rogue,...

    Authors: Dumitru Baleanu, Ali Saleh Alshomrani and Malik Zaka Ullah
    Citation: Advances in Difference Equations 2021 2021:195
  17. This article proposes new strategies for solving two-point Fractional order Nonlinear Boundary Value Problems (FNBVPs) with Robin Boundary Conditions (RBCs). In the new numerical schemes, a two-point FNBVP is ...

    Authors: Hyunju Kim, Junseo Lee and Bongsoo Jang
    Citation: Advances in Difference Equations 2021 2021:193
  18. In this manuscript, we investigate a novel Susceptible–Exposed–Infected–Quarantined–Recovered (SEIQR) COVID-19 propagation model with two delays, and we also consider supply chain transmission and hierarchical...

    Authors: Fangfang Yang and Zizhen Zhang
    Citation: Advances in Difference Equations 2021 2021:191
  19. In this work, a nonlinear singular variable-order fractional Emden–Fowler equation involved with derivative with non-singular kernel (in the Atangana–Baleanu–Caputo type) is introduced and a computational meth...

    Authors: M. H. Heydari, Z. Avazzadeh and A. Atangana
    Citation: Advances in Difference Equations 2021 2021:188
  20. This manuscript is involved in the study of stability of the solutions of functional differential equations (FDEs) with random coefficients and/or stochastic terms. We focus on the study of different types of ...

    Authors: Abdulwahab Almutairi, H. El-Metwally, M. A. Sohaly and I. M. Elbaz
    Citation: Advances in Difference Equations 2021 2021:186
  21. Everyone is talking about coronavirus from the last couple of months due to its exponential spread throughout the globe. Lives have become paralyzed, and as many as 180 countries have been so far affected with...

    Authors: Ali S. Alshomrani, Malik Z. Ullah and Dumitru Baleanu
    Citation: Advances in Difference Equations 2021 2021:185
  22. This manuscript is devoted to a study of the existence and uniqueness of solutions to a mathematical model addressing the transmission dynamics of the coronavirus-19 infectious disease (COVID-19). The mentione...

    Authors: Sabri T. M. Thabet, Mohammed S. Abdo and Kamal Shah
    Citation: Advances in Difference Equations 2021 2021:184
  23. This paper is about to formulate a design of predator–prey model with constant and time fractional variable order. The predator and prey act as agents in an ecosystem in this simulation. We focus on a time fra...

    Authors: Aziz Khan, Hashim M. Alshehri, J. F. Gómez-Aguilar, Zareen A. Khan and G. Fernández-Anaya
    Citation: Advances in Difference Equations 2021 2021:183

    The Correction to this article has been published in Advances in Difference Equations 2021 2021:422

  24. The article is based on the study of hepatitis transmission dynamics using a stochastic epidemic model. We discuss the stochastic perturbations of our proposed model by considering the effect of environmental ...

    Authors: Amir Khan, Ghulam Hussain, Abdullahi Yusuf, Auwalu Hamisu Usman and Usa Wannasingha Humphries
    Citation: Advances in Difference Equations 2021 2021:181
  25. In this paper, we propose the meshless finite point method for solving a type of fluid flow problem. The moving least square function is combined with the collocation method to treat nonlinear one- and two-dim...

    Authors: Fenhong Li, Gang Hu, Thabet Abdeljawad and Muhammad Abbas
    Citation: Advances in Difference Equations 2021 2021:179
  26. A new family of p-Bernoulli numbers and polynomials was introduced by Rahmani (J. Number Theory 157:350–366, 2015) with the help of the Gauss hypergeometric function. Motivated by that paper and in the light of t...

    Authors: Taekyun Kim, Dae San Kim, Lee-Chae Jang, Hyunseok Lee and Hanyoung Kim
    Citation: Advances in Difference Equations 2021 2021:175

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