Skip to main content

Articles

Page 11 of 97

  1. In this note, we broaden the utilization of an efficient computational scheme called the approximate analytical method to obtain the solutions of fractional-order Navier–Stokes model. The approximate analytica...

    Authors: Umar Farooq, Hassan Khan, Fairouz Tchier, Evren Hincal, Dumitru Baleanu and Haifa Bin Jebreen
    Citation: Advances in Difference Equations 2021 2021:81
  2. In this paper, we mainly investigate upper semicontinuity and regularity of attractors for nonclassical diffusion equations with perturbed parameters ν and the nonlinear term f satisfying the polynomial growth of...

    Authors: Yongqin Xie, Jun Li and Kaixuan Zhu
    Citation: Advances in Difference Equations 2021 2021:75
  3. This paper studies a controlled backward-forward linear-quadratic-Gaussian (LQG) large population system in Stackelberg games. The leader agent is of backward state and follower agents are of forward state. The l...

    Authors: Kehan Si and Zhen Wu
    Citation: Advances in Difference Equations 2021 2021:73
  4. Subdivision schemes (SSs) have been the heart of computer-aided geometric design almost from its origin, and several unifications of SSs have been established. SSs are commonly used in computer graphics, and s...

    Authors: Mehwish Bari, Ghulam Mustafa, Abdul Ghaffar, Kottakkaran Sooppy Nisar and Dumitru Baleanu
    Citation: Advances in Difference Equations 2021 2021:72
  5. In this work, we study an initial value problem for a system of nonlinear parabolic pseudo equations with Caputo fractional derivative. Here, we discuss the continuity which is related to a fractional order de...

    Authors: Erdal Karapinar, Ho Duy Binh, Nguyen Hoang Luc and Nguyen Huu Can
    Citation: Advances in Difference Equations 2021 2021:70
  6. In the present paper, we find some characterization theorems. Under certain pinching conditions on the warping function satisfying some differential equation, we show that the base of warped product submanifol...

    Authors: Akram Ali, Ravi P. Agrawal, Fatemah Mofarreh and Nadia Alluhaibi
    Citation: Advances in Difference Equations 2021 2021:69
  7. A newly proposed p-Laplacian nonperiodic boundary value problem is studied in this research paper in the form of generalized Caputo fractional derivatives. The existence and uniqueness of solutions are fully inve...

    Authors: M. M. Matar, M. I. Abbas, J. Alzabut, M. K. A. Kaabar, S. Etemad and S. Rezapour
    Citation: Advances in Difference Equations 2021 2021:68
  8. In this paper, we obtain sufficient conditions for the existence and uniqueness results of the pantograph fractional differential equations (FDEs) with nonlocal conditions involving Atangana–Baleanu–Caputo (AB...

    Authors: Mohammed S. Abdo, Thabet Abdeljawad, Kishor D. Kucche, Manar A. Alqudah, Saeed M. Ali and Mdi Begum Jeelani
    Citation: Advances in Difference Equations 2021 2021:65
  9. This research aims to discuss and control the chaotic behaviour of an autonomous fractional biological oscillator. Indeed, the concept of fractional calculus is used to include memory in the modelling formulat...

    Authors: Ali Saleh Alshomrani, Malik Zaka Ullah and Dumitru Baleanu
    Citation: Advances in Difference Equations 2021 2021:63
  10. In this paper, we consider a nonautonomous predator–prey model with Holling type II schemes and a prey refuge. By applying the comparison theorem of differential equations and constructing a suitable Lyapunov ...

    Authors: Yumin Wu, Fengde Chen and Caifeng Du
    Citation: Advances in Difference Equations 2021 2021:62
  11. In this work, a version of continuous stage stochastic Runge–Kutta (CSSRK) methods is developed for stochastic differential equations (SDEs). First, a general order theory of these methods is established by th...

    Authors: Xuan Xin, Wendi Qin and Xiaohua Ding
    Citation: Advances in Difference Equations 2021 2021:61
  12. In this study, we investigate reaction-diffusion complex-valued neural networks with mixed delays. The mixed delays include both time-varying and infinite distributed delays. Criteria are derived to ensure the...

    Authors: Xiaohui Xu, Jibin Yang, Quan Xu, Yanhai Xu and Shulei Sun
    Citation: Advances in Difference Equations 2021 2021:58
  13. Using the existing collected data from European and African countries, we present a statistical analysis of forecast of the future number of daily deaths and infections up to 10 September 2020. We presented nu...

    Authors: Abdon Atangana and Seda İğret Araz
    Citation: Advances in Difference Equations 2021 2021:57
  14. In this article, we first demonstrate a fixed point result under certain contraction in the setting of controlled b-Branciari metric type spaces.

    • Thereafter, we specifically co...

    Authors: Kalaivani Chandran, Kalpana Gopalan, Sumaiya Tasneem Zubair and Thabet Abdeljawad
    Citation: Advances in Difference Equations 2021 2021:56
  15. In this paper, we study an initial value problem for a class of impulsive implicit-type fractional differential equations (FDEs) with proportional delay terms. Schaefer’s fixed point theorem and Banach’s contr...

    Authors: Arshad Ali, Ibrahim Mahariq, Kamal Shah, Thabet Abdeljawad and Bahaa Al-Sheikh
    Citation: Advances in Difference Equations 2021 2021:55
  16. Dynamical analysis of a delayed tri-trophic food chain consisting of prey, an intermediate, and a top predator is investigated in this paper. The additive Allee effect is introduced in the prey population, and...

    Authors: S. Vinoth, R. Sivasamy, K. Sathiyanathan, Grienggrai Rajchakit, P. Hammachukiattikul, R. Vadivel and Nallappan Gunasekaran
    Citation: Advances in Difference Equations 2021 2021:54
  17. In this paper, we study the oscillation of a class of third-order Emden–Fowler delay dynamic equations with sublinear neutral terms on time scales. By using Riccati transformation and integral inequality, we e...

    Authors: Zhiyu Zhang and Ruihua Feng
    Citation: Advances in Difference Equations 2021 2021:53
  18. This paper is concerned with description of the existence and the forms of entire solutions of several second-order partial differential-difference equations with more general forms of Fermat type. By utilizin...

    Authors: Hong Yan Xu, Da Wei Meng, Sanyang Liu and Hua Wang
    Citation: Advances in Difference Equations 2021 2021:52
  19. In this paper, we investigate the existence and uniqueness of a solution for a class of ψ-Hilfer implicit fractional integro-differential equations with mixed nonlocal conditions. The arguments are based on Banac...

    Authors: Chatthai Thaiprayoon, Weerawat Sudsutad and Sotiris K. Ntouyas
    Citation: Advances in Difference Equations 2021 2021:50
  20. We propose a new modification of homotopy perturbation method (HPM) called the δ-homotopy perturbation transform method (δ-HPTM). This modification consists of the Laplace transform method, HPM, and a control par...

    Authors: Lanre Akinyemi, Mehmet Şenol and Shaheed N. Huseen
    Citation: Advances in Difference Equations 2021 2021:45
  21. In this paper, we mainly study a kind of fractional-order multiple point boundary value problem involving noninstantaneous impulse and abstract bounded operator. The existence and uniqueness is obtained by the...

    Authors: Kaihong Zhao and Shoukai Deng
    Citation: Advances in Difference Equations 2021 2021:44
  22. We propose a polynomial-based numerical scheme for solving some important nonlinear partial differential equations (PDEs). In the proposed technique, the temporal part is discretized by finite difference metho...

    Authors: Ihteram Ali, Sirajul Haq, Kottakkaran Sooppy Nisar and Dumitru Baleanu
    Citation: Advances in Difference Equations 2021 2021:43
  23. The problem of asymptotic stability and extended dissipativity analysis for the generalized neural networks with interval discrete and distributed time-varying delays is investigated. Based on a suitable Lyapu...

    Authors: Sunisa Luemsai, Thongchai Botmart and Wajaree Weera
    Citation: Advances in Difference Equations 2021 2021:42
  24. The goal of this paper is to study the uniqueness of solutions of several Hadamard-type integral equations and a related coupled system in Banach spaces. The results obtained are new and based on Babenko’s app...

    Authors: Chenkuan Li
    Citation: Advances in Difference Equations 2021 2021:40
  25. The development of COVID-19 vaccine is highly concerned by all countries in the world. So far, many kinds of COVID-19 vaccines have entered phase III clinical trial. However, it is difficult to deliver COVID-1...

    Authors: Daoming Dai, Xuanyu Wu and Fengshan Si
    Citation: Advances in Difference Equations 2021 2021:39
  26. In this paper, we give some extensions for Mortenson’s identities in series with the Bell polynomial using the partial fraction decomposition. As applications, we obtain some combinatorial identities involving...

    Authors: Gao-Wen Xi and Qiu-Ming Luo
    Citation: Advances in Difference Equations 2021 2021:38
  27. In this paper, we consider two classes of boundary value problems for nonlinear implicit differential equations with nonlinear integral conditions involving Atangana–Baleanu–Caputo fractional derivatives of or...

    Authors: Mohammed S. Abdo, Thabet Abdeljawad, Saeed M. Ali and Kamal Shah
    Citation: Advances in Difference Equations 2021 2021:37
  28. In this paper, we obtain the existence results for a coupled system of Hadamard fractional differential equations supplemented with nonlocal coupled initial-multipoint conditions via fixed point theorems. An e...

    Authors: Bashir Ahmad, Sotiris K. Ntouyas, Ahmed Alsaedi and Amjad F. Albideewi
    Citation: Advances in Difference Equations 2021 2021:33
  29. The primary objective of this paper is establishing new Hermite–Hadamard-type inequalities for interval-valued coordinated functions via Riemann–Liouville-type fractional integrals. Moreover, we obtain some fr...

    Authors: Fangfang Shi, Guoju Ye, Dafang Zhao and Wei Liu
    Citation: Advances in Difference Equations 2021 2021:32
  30. This paper is motivated by the series of research papers that consider parasitoids’ external input upon the host–parasitoid interactions. We explore a class of host–parasitoid models with variable release and ...

    Authors: Jasmin Bektešević, Vahidin Hadžiabdić, Senada Kalabušić, Midhat Mehuljić and Esmir Pilav
    Citation: Advances in Difference Equations 2021 2021:31
  31. The aim of this research is investigating the Hyers–Ulam stability of second-order differential equations. We introduce a new method of investigation for the stability of differential equations by using the Ma...

    Authors: Antony Raj Aruldass, Divyakumari Pachaiyappan and Choonkil Park
    Citation: Advances in Difference Equations 2021 2021:23
  32. In this paper, an impulsive quaternion-valued neural networks (QVNNs) model with leakage, discrete, and distributed delays is considered. Based on the homeomorphic mapping method, Lyapunov stability theorem, a...

    Authors: Jielin Zhou, Yuanshun Tan, Xiaofeng Chen and Zijian Liu
    Citation: Advances in Difference Equations 2021 2021:12
  33. Nowadays, online gambling has a great negative impact on the society. In order to study the effect of people’s psychological factors, anti-gambling policy, and social network topology on online gambling dynami...

    Authors: Yu Kong, Tao Li, Yuanmei Wang, Xinming Cheng, He Wang and Yangmei Lei
    Citation: Advances in Difference Equations 2021 2021:11

Annual Journal Metrics