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  1. In this article we propose a hybrid method based on a local meshless method and the Laplace transform for approximating the solution of linear one dimensional partial differential equations in the sense of the...

    Authors: Raheel Kamal, Kamran, Gul Rahmat, Ali Ahmadian, Noreen Izza Arshad and Soheil Salahshour
    Citation: Advances in Difference Equations 2021 2021:317
  2. The study considers the problem of finite-time event-triggered H-infinity consensus for second-order multi-agent systems (MASs) with intrinsic nonlinear dynamics and external bounded disturbances. Based on the...

    Authors: Yiping Luo and Wanling Zhu
    Citation: Advances in Difference Equations 2021 2021:315
  3. In this study, we prove an identity for twice partially differentiable mappings involving the double generalized fractional integral and some parameters. By using this established identity, we offer some gener...

    Authors: Hüseyin Budak, Fatih Hezenci and Hasan Kara
    Citation: Advances in Difference Equations 2021 2021:312
  4. The objective of this article is to introduce function weighted L-R-complete dislocated quasi-metric spaces and to present fixed point results fulfilling generalized rational type F-contraction for a multivalued ...

    Authors: Abdullah Shoaib, Qasim Mahmood, Aqeel Shahzad, Mohd Salmi Md Noorani and Stojan Radenović
    Citation: Advances in Difference Equations 2021 2021:310
  5. The aim of this paper is to introduce and analyze a novel fractional chaotic system including quadratic and cubic nonlinearities. We take into account the Caputo derivative for the fractional model and study t...

    Authors: Dumitru Baleanu, Sadegh Zibaei, Mehran Namjoo and Amin Jajarmi
    Citation: Advances in Difference Equations 2021 2021:308
  6. In this paper we propose a stable finite difference method to solve the fractional reaction–diffusion systems in a two-dimensional domain. The space discretization is implemented by the weighted shifted Grünwa...

    Authors: Rongpei Zhang, Mingjun Li, Bo Chen and Liwei Zhang
    Citation: Advances in Difference Equations 2021 2021:307
  7. In this paper, we study degenerate complete and partial Bell polynomials and establish some new identities for those polynomials. In addition, we investigate the connections between modified degenerate complet...

    Authors: Taekyun Kim, Dae San Kim, Jongkyum Kwon, Hyunseok Lee and Seong-Ho Park
    Citation: Advances in Difference Equations 2021 2021:304
  8. In this work, we study the existence, uniqueness, and continuous dependence of solutions for a class of fractional differential equations by using a generalized Riesz fractional operator. One can view the resu...

    Authors: Maryam Aleem, Mujeeb Ur Rehman, Jehad Alzabut, Sina Etemad and Shahram Rezapour
    Citation: Advances in Difference Equations 2021 2021:303
  9. In this paper, we mainly investigate the existence, continuous dependence, and the optimal control for nonlocal fractional differential evolution equations of order (1,2) in Banach spaces. We define a competen...

    Authors: Denghao Pang, Wei Jiang, Azmat Ullah Khan Niazi and Jiale Sheng
    Citation: Advances in Difference Equations 2021 2021:302
  10. This article proposes four distinct kinds of symmetric contraction in the framework of complete F-metric spaces. We examine the condition to guarantee the existence and uniqueness of a fixed point for these co...

    Authors: Aftab Hussain, Fahd Jarad and Erdal Karapinar
    Citation: Advances in Difference Equations 2021 2021:300

    The Correction to this article has been published in Advances in Difference Equations 2021 2021:335

  11. This study is aimed to investigate the sufficient conditions of the existence of unique solutions and the Ulam–Hyers–Mittag-Leffler (UHML) stability for a tripled system of weighted generalized Caputo fraction...

    Authors: Mohammed A. Almalahi, Satish K. Panchal, Fahd Jarad and Thabet Abdeljawad
    Citation: Advances in Difference Equations 2021 2021:299
  12. We consider an optimal control problem for a time-dependent obstacle variational inequality involving fractional Liouville–Caputo derivative. The obstacle is considered as the control, and the corresponding so...

    Authors: Parinya Sa Ngiamsunthorn, Apassara Suechoei and Poom Kumam
    Citation: Advances in Difference Equations 2021 2021:298
  13. Some results on the long-term behavior of solutions to a class of difference equations, which includes numerous nonlinear difference equations of various orders that attracted some attention in the last 15 yea...

    Authors: Stevo Stević, A. El-Sayed Ahmed, Witold Kosmala and Zdeněk Šmarda
    Citation: Advances in Difference Equations 2021 2021:297
  14. In this paper, we introduce a new integral transform, namely Aboodh transform, and we apply the transform to investigate the Hyers–Ulam stability, Hyers–Ulam–Rassias stability, Mittag-Leffler–Hyers–Ulam stabil...

    Authors: Ramdoss Murali, Arumugam Ponmana Selvan, Choonkil Park and Jung Rye Lee
    Citation: Advances in Difference Equations 2021 2021:296
  15. An interesting point in studying the oscillatory behavior of solutions of delay differential equations is the abbreviation of the conditions that ensure the oscillation of all solutions, especially when studyi...

    Authors: O. Moaaz, A. Muhib, D. Baleanu, W. Alharbi and E. E. Mahmoud
    Citation: Advances in Difference Equations 2021 2021:295
  16. The aim of this manuscript is to handle the nonlocal boundary value problem for a specific kind of nonlinear fractional differential equations involving a ξ-Hilfer derivative. The used fractional operator is gene...

    Authors: Wasfi Shatanawi, Abdellatif Boutiara, Mohammed S. Abdo, Mdi B. Jeelani and Kamaleldin Abodayeh
    Citation: Advances in Difference Equations 2021 2021:294
  17. This article describes the corona virus spread in a population under certain assumptions with the help of a fractional order mathematical model. The fractional order derivative is the well-known fractal fracti...

    Authors: Hasib Khan, Razia Begum, Thabet Abdeljawad and M. Motawi Khashan
    Citation: Advances in Difference Equations 2021 2021:293
  18. Epidemiological models have been playing a vital role in different areas of biological sciences for the analysis of various contagious diseases. Transmissibility of virulent diseases is being portrayed in the ...

    Authors: Abdullah Khamis Alzahrani, Oyoon Abdul Razzaq, Najeeb Alam Khan, Ali Saleh Alshomrani and Malik Zaka Ullah
    Citation: Advances in Difference Equations 2021 2021:292
  19. In this paper, a random coupled Ginzburg–Landau equation driven by colored noise on unbounded domains is considered, in which the nonlinear term satisfies a local Lipschitz condition. It is shown that the rand...

    Authors: Zhang Chen, Lingyu Li and Dandan Yang
    Citation: Advances in Difference Equations 2021 2021:291
  20. In this paper, we discuss the basic reproduction number of stochastic epidemic models with random perturbations. We define the basic reproduction number in epidemic models by using the integral of a function o...

    Authors: Andrés Ríos-Gutiérrez, Soledad Torres and Viswanathan Arunachalam
    Citation: Advances in Difference Equations 2021 2021:288

    The Correction to this article has been published in Advances in Difference Equations 2021 2021:393

  21. In this paper, an uncertain SIR (spreader, ignorant, stifler) rumor spreading model driven by one Liu process is formulated to investigate the influence of perturbation in the transmission mechanism of rumor s...

    Authors: Hang Sun, Yuhong Sheng and Qing Cui
    Citation: Advances in Difference Equations 2021 2021:286
  22. In this study, we develop a nonlinear ordinary differential equation to study the dynamics of syphilis transmission incorporating controls, namely prevention and treatment of the infected males and females. We...

    Authors: Abdulfatai Atte Momoh, Yusuf Bala, Dekera Jacob Washachi and Dione Déthié
    Citation: Advances in Difference Equations 2021 2021:285
  23. In this paper, we study a class of nonlinear boundary value problems (BVPs) consisting of a more general class of sequential hybrid fractional differential equations (SHFDEs) together with a class of nonlinear...

    Authors: Rahmat Ali Khan, Shaista Gul, Fahd Jarad and Hasib Khan
    Citation: Advances in Difference Equations 2021 2021:284
  24. In this paper, we study the oscillatory and asymptotic behavior of a class of first-order neutral delay impulsive differential systems and establish some new sufficient conditions for oscillation and sufficien...

    Authors: Shyam Sundar Santra, Dumitru Baleanu, Khaled Mohamed Khedher and Osama Moaaz
    Citation: Advances in Difference Equations 2021 2021:283
  25. In this article, we introduce two notions of interpolative F-contractions with shrink map and F-contractions with shrink map. We also study the existence of E-fixed points by using these notations on a metric spa...

    Authors: Monairah Alansari and Muhammad Usman Ali
    Citation: Advances in Difference Equations 2021 2021:282
  26. Symmetric operators have benefited in different fields not only in mathematics but also in other sciences. They appeared in the studies of boundary value problems and spectral theory. In this note, we present ...

    Authors: Rabha W. Ibrahim and Ibtisam Aldawish
    Citation: Advances in Difference Equations 2021 2021:281
  27. In the present paper, by using the concept of convolution and q-calculus, we define a certain q-derivative (or q-difference) operator for analytic and multivalent (or p-valent) functions. This presumably new q-de...

    Authors: Bilal Khan, H. M. Srivastava, Sama Arjika, Shahid Khan, Nazar Khan and Qazi Zahoor Ahmad
    Citation: Advances in Difference Equations 2021 2021:279
  28. In this research we introduce and study a new coupled system of three fractional differential equations supplemented with nonlocal multi-point coupled boundary conditions. Existence and uniqueness results are ...

    Authors: Bashir Ahmad, Soha Hamdan, Ahmed Alsaedi and Sotiris K. Ntouyas
    Citation: Advances in Difference Equations 2021 2021:278
  29. This paper investigates the problem of finite-/fixed-time synchronization for Clifford-valued recurrent neural networks with time-varying delays. The considered Clifford-valued drive and response system models...

    Authors: N. Boonsatit, G. Rajchakit, R. Sriraman, C. P. Lim and P. Agarwal
    Citation: Advances in Difference Equations 2021 2021:276
  30. In this paper, our aim is mathematical analysis and numerical simulation of a prey-predator model to describe the effect of predation between prey and predator with nonlinear functional response. First, we dev...

    Authors: Assane Savadogo, Boureima Sangaré and Hamidou Ouedraogo
    Citation: Advances in Difference Equations 2021 2021:275
  31. We establish new eigenvalue inequalities in terms of the weighted Cheeger constant for drifting p-Laplacian on smooth metric measure spaces with or without boundary. The weighted Cheeger constant is bounded from ...

    Authors: Abimbola Abolarinwa, Akram Ali and Ali Alkhadi
    Citation: Advances in Difference Equations 2021 2021:273
  32. This paper applies the Heydari–Hosseininia nonsingular fractional derivative for defining a variable-order fractional version of the Sobolev equation. The orthonormal shifted discrete Legendre polynomials, as ...

    Authors: M. H. Heydari and A. Atangana
    Citation: Advances in Difference Equations 2021 2021:272
  33. Our aim in this paper is presenting an attractive numerical approach giving an accurate solution to the nonlinear fractional Abel differential equation based on a reproducing kernel algorithm with model endowe...

    Authors: Mohammed Al-Smadi, Nadir Djeddi, Shaher Momani, Shrideh Al-Omari and Serkan Araci
    Citation: Advances in Difference Equations 2021 2021:271
  34. This paper proposes an effective gradient-descent iterative algorithm for solving a generalized Sylvester-transpose equation with rectangular matrix coefficients. The algorithm is applicable for the equation a...

    Authors: Adisorn Kittisopaporn and Pattrawut Chansangiam
    Citation: Advances in Difference Equations 2021 2021:266

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