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  1. In this article, we discuss the dynamics of a Leslie–Gower ratio-dependent predator–prey model incorporating fear in the prey population. Moreover, the Allee effect in the predator growth is added into account...

    Authors: S. Vinoth, R. Sivasamy, K. Sathiyanathan, Bundit Unyong, Grienggrai Rajchakit, R. Vadivel and Nallappan Gunasekaran
    Citation: Advances in Difference Equations 2021 2021:338
  2. This research aims to investigate a novel coincidence point (cp) of generalized multivalued contraction (gmc) mapping involved a directed graph in b-metric spaces (b-ms). An example and some corollaries are deriv...

    Authors: Hasanen A. Hammad, Manuel De la Sen and Praveen Agarwal
    Citation: Advances in Difference Equations 2021 2021:334
  3. Fractional calculus is the field of mathematical analysis that investigates and applies integrals and derivatives of arbitrary order. Fractional q-calculus has been investigated and applied in a variety of resear...

    Authors: Pheak Neang, Kamsing Nonlaopon, Jessada Tariboon, Sotiris K. Ntouyas and Praveen Agarwal
    Citation: Advances in Difference Equations 2021 2021:333
  4. In this work, a numerical technique for solving general nonlinear ordinary differential equations (ODEs) with variable coefficients and given conditions is introduced. The collocation method is used with ratio...

    Authors: Mohamed A. Abd El Salam, Mohamed A. Ramadan, Mahmoud A. Nassar, Praveen Agarwal and Yu-Ming Chu
    Citation: Advances in Difference Equations 2021 2021:331
  5. In this paper, we prove two results concerning the existence of S-asymptotically ω-periodic solutions for non-instantaneous impulsive semilinear differential inclusions of order ...

    Authors: Zainab Alsheekhhussain, JinRong Wang and Ahmed Gamal Ibrahim
    Citation: Advances in Difference Equations 2021 2021:330
  6. In this paper, our aim is to build generalized homogeneous q-difference equations for q-polynomials. We also consider their applications to generating functions and fractional q-integrals by using the perspective...

    Authors: Jian Cao, Hong-Li Zhou and Sama Arjika
    Citation: Advances in Difference Equations 2021 2021:329
  7. In this paper, we aim to discuss the common fixed point of Proinov type mapping via simulation function. The presented results not only generalize, but also unify the corresponding results in this direction. W...

    Authors: Badr Alqahtani, Sara Salem Alzaid, Andreea Fulga and Seher Sultan Yeşilkaya
    Citation: Advances in Difference Equations 2021 2021:328
  8. In this paper, we study classes of linear and nonlinear multi-term fractional differential equations involving a fractional derivative with generalized Mittag-Leffler kernel. Estimates of fractional derivative...

    Authors: Mohammed Al-Refai, Abdalla Aljarrah and Thabet Abdeljawad
    Citation: Advances in Difference Equations 2021 2021:325
  9. In this work, we study some types of Ulam stability for a nonlinear fractional differential equation of Lane–Emden type with anti periodic conditions. Then, by using a numerical approach for the Caputo derivat...

    Authors: Kamel Tablennehas, Zoubir Dahmani, Meriem Mansouria Belhamiti, Amira Abdelnebi and Mehmet Zeki Sarikaya
    Citation: Advances in Difference Equations 2021 2021:324
  10. The Sturm–Liouville differential equation is one of interesting problems which has been studied by researchers during recent decades. We study the existence of a solution for partial fractional Sturm–Liouville...

    Authors: Zohreh Zeinalabedini Charandabi, Hakimeh Mohammadi, Shahram Rezapour and Hashem Parvaneh Masiha
    Citation: Advances in Difference Equations 2021 2021:323
  11. In this paper, a Lie symmetry method is used for the nonlinear generalized Camassa–Holm equation and as a result reduction of the order and computing the conservation laws are presented. Furthermore, μ-symmetry a...

    Authors: H. Jafari, K. Goodarzi, M. Khorshidi, V. Parvaneh and Z. Hammouch
    Citation: Advances in Difference Equations 2021 2021:322
  12. In this paper we study fractional initial value problems with Caputo–Fabrizio derivative which involves nonsingular kernel. First we apply α--contraction and α-type F-contraction mappings to study the existence ...

    Authors: Hojjat Afshari, Hossein Hosseinpour and H. R. Marasi
    Citation: Advances in Difference Equations 2021 2021:321
  13. In this work, we present new necessary and sufficient conditions for the oscillation of a class of second-order neutral delay impulsive differential equations. Our oscillation results complement, simplify and ...

    Authors: Shyam Sundar Santra, Apurba Ghosh, Omar Bazighifan, Khaled Mohamed Khedher and Taher A. Nofal
    Citation: Advances in Difference Equations 2021 2021:318
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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

  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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
  33. 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

  34. 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

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