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  1. 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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  2. 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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  3. 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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  4. 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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  5. 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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  6. 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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  7. 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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  8. 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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  9. 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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  10. 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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  11. 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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  12. 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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  13. 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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  14. 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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  15. 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

  16. 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

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  17. 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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  18. 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

    Content type: Research

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  19. 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

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  20. 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

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  21. 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

    Content type: Research

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  22. 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

    Content type: Research

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  23. 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

    Content type: Research

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  24. 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

    Content type: Research

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  25. 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

    Content type: Research

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

  26. 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

    Content type: Research

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  27. 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

    Content type: Research

    Published on:

  28. 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

    Content type: Research

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  29. 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

    Content type: Research

    Published on:

  30. 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

    Content type: Research

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  31. 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

    Content type: Research

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  32. 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

    Content type: Research

    Published on:

  33. 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

    Content type: Research

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  34. 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

    Content type: Research

    Published on:

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