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  1. 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

    Published on:

  2. 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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  3. 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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  4. 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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  5. 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

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  6. 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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  7. 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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  8. 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

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  9. 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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  10. 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:

  11. 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

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  12. 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

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  13. 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

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  14. 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:

  15. In this paper, we deal with Caputo-type fractional differential inequality where there is a low-order fractional derivative with the term polynomial source. We investigate the nonexistence of nontrivial global...

    Authors: Mohammed D. Kassim, Saeed M. Ali, Mohammed S. Abdo and Fahd Jarad

    Citation: Advances in Difference Equations 2021 2021:246

    Content type: Research

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  16. The aim of this work is to establish results in fixed point theory for a pair of fuzzy dominated mappings which forms a rational fuzzy dominated V-contraction in modular-like metric spaces. Some results via a par...

    Authors: Tahair Rasham, Abdullah Shoaib, Choonkill Park, Ravi P. Agarwal and Hassen Aydi

    Citation: Advances in Difference Equations 2021 2021:245

    Content type: Research

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  17. In this article, we debate the existence of solutions for a nonlinear Hilfer fractional differential inclusion with nonlocal Erdélyi–Kober fractional integral boundary conditions (FIBC). Both cases of convex- ...

    Authors: Adel Lachouri, Mohammed S. Abdo, Abdelouaheb Ardjouni, Bahaaeldin Abdalla and Thabet Abdeljawad

    Citation: Advances in Difference Equations 2021 2021:244

    Content type: Research

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  18. In this manuscript, the existence theorem for a unique solution to a coupled system of impulsive fractional differential equations in complex-valued fuzzy metric spaces is studied and the fuzzy version of some...

    Authors: Humaira, Hasanen A. Hammad, Muhammad Sarwar and Manuel De la Sen

    Citation: Advances in Difference Equations 2021 2021:242

    Content type: Research

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  19. In this paper, we establish some dynamic Hilbert-type inequalities in two independent variables on time scales by using the Fenchel–Legendre transform. We also apply our inequalities to discrete and continuous...

    Authors: A. A. El-Deeb, Saima Rashid, Zareen A. Khan and S. D. Makharesh

    Citation: Advances in Difference Equations 2021 2021:239

    Content type: Research

    Published on:

  20. In this paper, we extend existing population growth models and propose a model based on a nonlinear cubic differential equation that reveals itself as a special subclass of Abel differential equations of first...

    Authors: Benjamin Wacker and Jan Christian Schlüter

    Citation: Advances in Difference Equations 2021 2021:236

    Content type: Research

    Published on:

  21. The behavior of any complex dynamic system is a natural result of the interaction between the components of that system. Important examples of these systems are biological models that describe the characterist...

    Authors: Salih Djilali and Behzad Ghanbari

    Citation: Advances in Difference Equations 2021 2021:235

    Content type: Research

    Published on:

  22. In this paper, we aim to analyze the complicated dynamical motion of a quarter-car suspension system with a sinusoidal road excitation force. First, we consider a new mathematical model in the form of fraction...

    Authors: Dumitru Baleanu, Samaneh Sadat Sajjadi, Amin Jajarmi and Özlem Defterli

    Citation: Advances in Difference Equations 2021 2021:234

    Content type: Research

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  23. By using a nonlinear method, we try to solve partial fractional differential equations. In this way, we construct the Laguerre wavelets operational matrix of fractional integration. The method is proposed by u...

    Authors: Nasser Aghazadeh, Amir Mohammadi, Ghader Ahmadnezhad and Shahram Rezapour

    Citation: Advances in Difference Equations 2021 2021:231

    Content type: Research

    Published on:

  24. This study investigates the dynamical behavior of a ratio-dependent Lotka–Volterra competitive-competitive-cooperative system with feedback controls and delays. Compared with previous studies, both ratio-depen...

    Authors: Ahmadjan Muhammadhaji, Azhar Halik and Hong-Li Li

    Citation: Advances in Difference Equations 2021 2021:230

    Content type: Research

    Published on:

  25. For a stochastic COVID-19 model with jump-diffusion, we prove the existence and uniqueness of the global positive solution. We also investigate some conditions for the extinction and persistence of the disease...

    Authors: Almaz Tesfay, Tareq Saeed, Anwar Zeb, Daniel Tesfay, Anas Khalaf and James Brannan

    Citation: Advances in Difference Equations 2021 2021:228

    Content type: Research

    Published on:

  26. The accuracy of analytical obtained solutions of the fractional nonlinear space–time telegraph equation that has been constructed in (Hamed and Khater in J. Math., 2020) is checked through five recent semi-analyt...

    Authors: Mostafa M. A. Khater, Choonkil Park, Jung Rye Lee, Mohamed S. Mohamed and Raghda A. M. Attia

    Citation: Advances in Difference Equations 2021 2021:227

    Content type: Research

    Published on:

  27. Two open problems recently proposed by Xi and Luo (Adv. Differ. Equ. 2021:38, 2021) are resolved by evaluating explicitly three binomial sums involving harmonic numbers, that are realized mainly by utilizing the ...

    Authors: Nadia N. Li and Wenchang Chu

    Citation: Advances in Difference Equations 2021 2021:224

    Content type: Research

    Published on:

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