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  1. In this research work, a newly-proposed multiterm hybrid multi-order fractional boundary value problem is studied. The existence results for the supposed hybrid fractional differential equation that involves R...

    Authors: Ahmed Nouara, Abdelkader Amara, Eva Kaslik, Sina Etemad, Shahram Rezapour, Francisco Martinez and Mohammed K. A. Kaabar

    Citation: Advances in Difference Equations 2021 2021:343

    Content type: Research

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  2. In this study, our aim is to explore the dynamics of COVID-19 or 2019-nCOV in Argentina considering the parameter values based on the real data of this virus from March 03, 2020 to March 29, 2021 which is a data ...

    Authors: Pushpendra Kumar, Vedat Suat Erturk, Marina Murillo-Arcila, Ramashis Banerjee and A. Manickam

    Citation: Advances in Difference Equations 2021 2021:341

    Content type: Research

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  3. 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

    Content type: Research

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  4. In this paper, we discuss a generalization to the Cherednik–Opdam integral operator to an abstract space of Boehmians. We introduce sets of Boehmians and establish delta sequences and certain class of convolut...

    Authors: Shrideh Khalaf Al-Omari, Serkan Araci and Mohammed Al-Smadi

    Citation: Advances in Difference Equations 2021 2021:336

    Content type: Research

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  5. 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

    Content type: Research

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  6. 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

    Content type: Research

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  7. 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

    Content type: Research

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  8. 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

    Content type: Research

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  9. 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

    Content type: Research

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  10. 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

    Content type: Research

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  11. 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

    Content type: Research

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  12. 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

    Content type: Research

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  13. 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

    Content type: Research

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  14. 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

    Content type: Research

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  15. 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

    Content type: Research

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  16. 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

    Content type: Research

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  17. 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

    Content type: Research

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  18. 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

    Content type: Research

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  19. 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

    Content type: Research

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  20. 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

    Content type: Research

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  21. 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

    Content type: Research

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  22. 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

    Content type: Research

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  23. 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

    Content type: Research

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  24. 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

    Content type: Research

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  25. 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

    Content type: Research

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  26. 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

    Content type: Research

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

  27. 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

    Content type: Research

    Published on:

  28. 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

    Content type: Research

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  29. 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

    Content type: Research

    Published on:

  30. 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

    Content type: Research

    Published on:

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