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  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. In this paper, we offer a new quantum integral identity, the result is then used to obtain some new estimates of Hermite–Hadamard inequalities for quantum integrals. The results presented in this paper are gen...

    Authors: Yi-Xia Li, Muhammad Aamir Ali, Hüseyin Budak, Mujahid Abbas and Yu-Ming Chu
    Citation: Advances in Difference Equations 2021 2021:225
  21. 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
  22. Ablowitz–Kaup–Newell–Segur (AKNS) linear spectral problem gives birth to many important nonlinear mathematical physics equations including nonlocal ones. This paper derives two fractional order AKNS hierarchie...

    Authors: Bo Xu, Yufeng Zhang and Sheng Zhang
    Citation: Advances in Difference Equations 2021 2021:223
  23. In this paper, we model the insurance company’s surplus by a compound Poisson risk model, where the surplus process can only be observed at random observation times. It is assumed that the insurer observes its...

    Authors: Wenguang Yu, Peng Guo, Qi Wang, Guofeng Guan, Yujuan Huang and Xinliang Yu
    Citation: Advances in Difference Equations 2021 2021:220
  24. In this paper, we study the comparison of fuzzy differential transform method (FDTM), fuzzy Adomian decomposition method (FADM), fuzzy homotopy perturbation method (FHPM), and fuzzy reduced differential transf...

    Authors: Mawia Osman, Zengtai Gong, Altyeb Mohammed Mustafa and Hong Yang
    Citation: Advances in Difference Equations 2021 2021:219
  25. The visual beauty reflects the practicability and superiority of design dependent on the fractal theory. Based on the applicability in practice, it shows that it is the completely feasible, self-comparability ...

    Authors: Yu-Ming Chu, Saima Rashid, Thabet Abdeljawad, Aasma Khalid and Humaira Kalsoom
    Citation: Advances in Difference Equations 2021 2021:218
  26. A swarming model is a model that describes the behavior of the social aggregation of a large group of animals or the community of humans. In this work, the swarming model that includes the short-range repulsio...

    Authors: Adsadang Himakalasa and Suttida Wongkaew
    Citation: Advances in Difference Equations 2021 2021:217

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