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

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  14. 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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  15. 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

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  16. 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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  17. 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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  18. 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

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  19. 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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  20. 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

    Content type: Research

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  21. 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

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  22. 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

    Content type: Research

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  23. 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

    Content type: Research

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  24. 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

    Content type: Research

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  25. In this paper, we study boundary value problems for sequential fractional differential equations and inclusions involving Hilfer fractional derivatives, supplemented with Riemann–Stieltjes integral multi-strip...

    Authors: Cholticha Nuchpong, Sotiris K. Ntouyas, Ayub Samadi and Jessada Tariboon

    Citation: Advances in Difference Equations 2021 2021:268

    Content type: Research

    Published on:

  26. In this paper, we examine the consequences of existence, uniqueness and stability of a multi-point boundary value problem defined by a system of coupled fractional differential equations involving Hadamard der...

    Authors: Muthaiah Subramanian, Jehad Alzabut, Dumitru Baleanu, Mohammad Esmael Samei and Akbar Zada

    Citation: Advances in Difference Equations 2021 2021:267

    Content type: Research

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  27. 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

    Content type: Research

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  28. The forward–backward algorithm is a splitting method for solving convex minimization problems of the sum of two objective functions. It has a great attention in optimization due to its broad application to man...

    Authors: Suthep Suantai, Muhammad Aslam Noor, Kunrada Kankam and Prasit Cholamjiak

    Citation: Advances in Difference Equations 2021 2021:265

    Content type: Review

    Published on:

  29. At first, we recall the q-operators in the context of q-calculus and by examining these operators we will introduce new definitions of the partial q-operators. Then, we investigate some new refinements inequaliti...

    Authors: Manar A. Alqudah, Artion Kashuri, Pshtiwan Othman Mohammed, Thabet Abdeljawad, Muhammad Raees, Matloob Anwar and Y. S. Hamed

    Citation: Advances in Difference Equations 2021 2021:264

    Content type: Research

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  30. This work investigates the dissemination mechanism of pine wilt disease. The basic reproduction number is computed explicitly, and an ultimate invariable level of contagious hosts and vectors, without and with...

    Authors: Riaz Ahmad Khan, Takasar Hussain, Muhammad Ozair, Fatima Tasneem and Muhammad Faizan

    Citation: Advances in Difference Equations 2021 2021:261

    Content type: Research

    Published on:

  31. In this paper, a stochastic SICA epidemic model with standard incidence rate for HIV transmission is proposed. The sufficient conditions of the extinction and persistence in mean for the disease are establishe...

    Authors: Xiaodong Wang, Chunxia Wang and Kai Wang

    Citation: Advances in Difference Equations 2021 2021:260

    Content type: Research

    Published on:

  32. This paper is devoted to finding out some realization of the concept of b-metric like space. First, we attain a fixed point for two fuzzy mappings satisfying a suitable requirement of contractiveness. Subsequentl...

    Authors: Tahair Rasham, Giuseppe Marino, Aqeel Shahzad, Choonkill Park and Abdullah Shoaib

    Citation: Advances in Difference Equations 2021 2021:259

    Content type: Research

    Published on:

  33. The constant elasticity of substitution (CES for short) is a basic property widely used in some areas of economics that involves a system of second-order nonlinear partial differential equations. One of the mo...

    Authors: Haila Alodan, Bang-Yen Chen, Sharief Deshmukh and Gabriel-Eduard Vîlcu

    Citation: Advances in Difference Equations 2021 2021:257

    Content type: Research

    Published on:

  34. This paper considers the Clifford-valued recurrent neural network (RNN) models, as an augmentation of real-valued, complex-valued, and quaternion-valued neural network models, and investigates their global exp...

    Authors: G. Rajchakit, R. Sriraman, N. Boonsatit, P. Hammachukiattikul, C. P. Lim and P. Agarwal

    Citation: Advances in Difference Equations 2021 2021:256

    Content type: Research

    Published on:

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Editors-in-Chief

​​​​​​​mbnk_edit Martin Bohner, Missouri University of Science and Technology, United States of America | 

Martin's SpringerNature Publications

Elena_Braverman_image_edit Elena Braverman, University of Calgary Canada | 

Elena's SpringerNature Publications

Interim Editor-in-Chief

New Content ItemSong Wang, Curtin University, Australia | 

Song Wang's SpringerNature Publications