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Theory and Modern Applications

Advances in Continuous and Discrete Models Cover Image

Articles

Page 6 of 98

  1. In this paper we propose a solution to the nonlinear Fredholm integral equations in the context of w-distance. For this purpose, we also provide a fixed point result in the same setting. In addition, we provide b...

    Authors: P. Dhivya, M. Marudai, Vladimir Rakočević and Andreea Fulga
    Citation: Advances in Difference Equations 2021 2021:398
  2. This paper investigates a class of generalized Cohen–Grossberg neural networks (CGNNs) with discontinuous activations and mixed delays. Based on the nonsmooth analysis theory, the drive-response concept, diffe...

    Authors: Zhaohong Xiang and Runjie Li
    Citation: Advances in Difference Equations 2021 2021:396
  3. Some fundamental conditions and hypotheses are established to ensure the existence, uniqueness, and stability to a class of implicit boundary value problems (BVPs) with Atangana–Baleanu–Caputo type derivative ...

    Authors: Asma, Sana Shabbir, Kamal Shah and Thabet Abdeljawad
    Citation: Advances in Difference Equations 2021 2021:395
  4. The aim of the present paper is to obtain new generalizations of an inequality for n-convex functions involving Csiszár divergence on time scales using the Green function along with Fink’s identity. Some new resu...

    Authors: Iqrar Ansari, Khuram Ali Khan, Ammara Nosheen, Ðilda Pečarić and Josip Pečarić
    Citation: Advances in Difference Equations 2021 2021:394
  5. The present paper deals with a fractional-order mathematical epidemic model of malaria transmission accompanied by temporary immunity and relapse. The model is revised by using Caputo fractional operator for t...

    Authors: Attiq ul Rehman, Ram Singh, Thabet Abdeljawad, Eric Okyere and Liliana Guran
    Citation: Advances in Difference Equations 2021 2021:390
  6. In this paper, we study the fractional nonlinear Rayleigh–Stokes equation under nonlocal integral conditions, and the existence and uniqueness of the mild solution to our problem are considered. The ill-posedn...

    Authors: Nguyen Hoang Luc, Le Dinh Long, Ho Thi Kim Van and Van Thinh Nguyen
    Citation: Advances in Difference Equations 2021 2021:388
  7. In this paper, we consider a fractional COVID-19 epidemic model with a convex incidence rate. The Atangana–Baleanu fractional operator in the Caputo sense is taken into account. We establish the equilibrium po...

    Authors: Amir Khan, Rahat Zarin, Usa Wannasingha Humphries, Ali Akgül, Anwar Saeed and Taza Gul
    Citation: Advances in Difference Equations 2021 2021:387
  8. This paper deals with boundary value problems for local and nonlocal Laplace operator in 2D with exponential nonlinearities, the so-called Liouville type equations. They include the mean field equation and oth...

    Authors: Angela Slavova and Petar Popivanov
    Citation: Advances in Difference Equations 2021 2021:386
  9. The current paper is about the investigation of a new integral transform introduced recently by Jafari. Specifically, we explore the applicability of this integral transform on Atangana–Baleanu derivative and ...

    Authors: M. Meddahi, H. Jafari and M. N. Ncube
    Citation: Advances in Difference Equations 2021 2021:385
  10. This research note’s objective is to elaborate on the study of the unsteady MHD natural convective flow of the Jeffery fluid with the fractional derivative model. The fluid flow phenomenon happens between two ...

    Authors: Maryam Asgir, A. A. Zafar, Abdullah M. Alsharif, Muhammad Bilal Riaz and Muhammad Abbas
    Citation: Advances in Difference Equations 2021 2021:384
  11. In this article, we introduce a new concept of Hausdorff distance through generalized modular metric on nonempty compact subsets and study some topological properties of it. This concept with contraction theor...

    Authors: Alireza Alihajimohammad and Reza Saadati
    Citation: Advances in Difference Equations 2021 2021:383
  12. In this paper, the problem of temperature distribution for convective straight fins with constant and temperature-dependent thermal conductivity is solved by using artificial neural networks trained by the bio...

    Authors: Ashfaq Ahmad, Muhammad Sulaiman and Poom Kumam
    Citation: Advances in Difference Equations 2021 2021:382
  13. In this research paper, we intend to study the stability of solutions of some nonlinear initial value fractional differential problems. These equations are studied within the generalized fractional derivative ...

    Authors: Mohammed D. Kassim, Thabet Abdeljawad, Saeed M. Ali and Mohammed S. Abdo
    Citation: Advances in Difference Equations 2021 2021:376
  14. The aim of this article is to discuss the uniqueness and Ulam–Hyers stability of solutions for a nonlinear fractional integro-differential equation involving a generalized Caputo fractional operator. The used ...

    Authors: Mohammed D. Kassim, Thabet Abdeljawad, Wasfi Shatanawi, Saeed M. Ali and Mohammed S. Abdo
    Citation: Advances in Difference Equations 2021 2021:375
  15. Taylor’s polynomial and Green’s function are used to obtain new generalizations of an inequality for higher order convex functions containing Csiszár divergence on time scales. Various new inequalities for som...

    Authors: Iqrar Ansari, Khuram Ali Khan, Ammara Nosheen, Ðilda Pečarić and Josip Pečarić
    Citation: Advances in Difference Equations 2021 2021:374
  16. In this article, we provide the existence result for functional integral equations by using Petryshyn’s fixed point theorem connecting the measure of noncompactness in a Banach space. The results enlarge the c...

    Authors: Soniya Singh, Bhupander Singh, Kottakkaran Sooppy Nisar, Abd-Allah Hyder and M. Zakarya
    Citation: Advances in Difference Equations 2021 2021:372
  17. In this paper, we obtain new Hermite–Hadamard-type inequalities for r-convex and geometrically convex functions and, additionally, some new Hermite–Hadamard-type inequalities by using the Hölder–İşcan integral in...

    Authors: Muhammad Amer Latif
    Citation: Advances in Difference Equations 2021 2021:371
  18. In this manuscript, we study a certain classical second-order fully nonlinear coupled system with generalized nonlinear coupled boundary conditions satisfying the monotone assumptions. Our new results unify th...

    Authors: Imran Talib, Thabet Abdeljawad, Manar A. Alqudah, Cemil Tunc and Rabia Ameen
    Citation: Advances in Difference Equations 2021 2021:368
  19. In this paper, we consider a nonlinear sequential q-difference equation based on the Caputo fractional quantum derivatives with nonlocal boundary value conditions containing Riemann–Liouville fractional quantum i...

    Authors: Abdelatif Boutiara, Sina Etemad, Jehad Alzabut, Azhar Hussain, Muthaiah Subramanian and Shahram Rezapour
    Citation: Advances in Difference Equations 2021 2021:367
  20. In the present research study, for a given multiterm boundary value problem (BVP) involving the Riemann-Liouville fractional differential equation of variable order, the existence properties are analyzed. To a...

    Authors: Amar Benkerrouche, Dumitru Baleanu, Mohammed Said Souid, Ali Hakem and Mustafa Inc
    Citation: Advances in Difference Equations 2021 2021:365
  21. This paper provides iterative construction of a common solution associated with the classes of equilibrium problems (EP) and split convex feasibility problems. In particular, we are interested in the EP define...

    Authors: Yasir Arfat, Poom Kumam, Muhammad Aqeel Ahmad Khan, Parinya Sa Ngiamsunthorn and Attapol Kaewkhao
    Citation: Advances in Difference Equations 2021 2021:364
  22. An explicit unconditionally stable scheme is proposed for solving time-dependent partial differential equations. The application of the proposed scheme is given to solve the COVID-19 epidemic model. This schem...

    Authors: Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh and Wasfi Shatanawi
    Citation: Advances in Difference Equations 2021 2021:363
  23. In this paper, we first consider the stability problem for a class of stochastic quaternion-valued neural networks with time-varying delays. Next, we cannot explicitly decompose the quaternion-valued systems i...

    Authors: Lihua Dai and Yuanyuan Hou
    Citation: Advances in Difference Equations 2021 2021:362
  24. Numerous mathematicians have studied ‘poly’ as one of the generalizations to special polynomials, such as Bernoulli, Euler, Cauchy, and Genocchi polynomials. In relation to this, in this paper, we introduce th...

    Authors: Taekyun Kim and Hye Kyung Kim
    Citation: Advances in Difference Equations 2021 2021:361
  25. In this study, we discuss the existence of positive periodic solutions of a class of discrete density-dependent mortal Nicholson’s dual system with harvesting terms. By means of the continuation coincidence de...

    Authors: Rajendiran Eswari, Jehad Alzabut, Mohammad Esmael Samei and Hui Zhou
    Citation: Advances in Difference Equations 2021 2021:360
  26. We introduce double and triple F-expanding mappings. We prove related fixed point theorems. Based on our obtained results, we also prove the existence of a solution for fractional type differential equations by u...

    Authors: Shahid Bashir, Naeem Saleem, Hassen Aydi, Syed Muhammad Husnine and Asma Al Rwaily
    Citation: Advances in Difference Equations 2021 2021:359
  27. In this article we make an improvement in the Banach contraction using a controlled function in controlled metric like spaces, which generalizes many results in the literature. Moreover, we present an applicat...

    Authors: Wasfi Shatanawi, Nabil Mlaiki, Doaa Rizk and Enyinda Onunwor
    Citation: Advances in Difference Equations 2021 2021:358
  28. In this paper we investigate certain integral operator involving Jacobi–Dunkl functions in a class of generalized functions. We utilize convolution products, approximating identities, and several axioms to all...

    Authors: Shrideh Al-Omari, Hassan Almusawa and Kottakkaran Sooppy Nisar
    Citation: Advances in Difference Equations 2021 2021:357
  29. The aim of this work is to obtain quantum estimates for q-Hardy type integral inequalities on quantum calculus. For this, we establish new identities including quantum derivatives and quantum numbers. After that,...

    Authors: Necmettin Alp and Mehmet Zeki Sarikaya
    Citation: Advances in Difference Equations 2021 2021:355
  30. This work is concerned with the problem for stochastic genetic regulatory networks (GRNs) subject to mixed time delays via passivity control in which mixed time delays consist of leakage, discrete, and distrib...

    Authors: S. Senthilraj, T. Saravanakumar, R. Raja and J. Alzabut
    Citation: Advances in Difference Equations 2021 2021:353
  31. There are different approaches that indicate the dynamic of the growth of microbe. In this research, we simulate the growth by utilizing the concept of fractional calculus. We investigate a fractional system o...

    Authors: Samir B. Hadid and Rabha W. Ibrahim
    Citation: Advances in Difference Equations 2021 2021:351
  32. In the existing study, we investigate the criteria of existence of solution for relatively new categories of φ-Caputo fractional differential equations and inclusions problems equipped with nonlocal φ-integral bo...

    Authors: Muhammad Qamar Iqbal and Azhar Hussain
    Citation: Advances in Difference Equations 2021 2021:350
  33. The shifted Chebyshev polynomials of the fifth kind (SCPFK) and the collocation method are employed to achieve approximate solutions of a category of the functional equations, namely variable-order time-fracti...

    Authors: Khadijeh Sadri, Kamyar Hosseini, Dumitru Baleanu, Ali Ahmadian and Soheil Salahshour
    Citation: Advances in Difference Equations 2021 2021:348

Annual Journal Metrics

  • 2022 Citation Impact
    4.1 - 2-year Impact Factor
    2.9 - 5-year Impact Factor
    1.702 - SNIP (Source Normalized Impact per Paper)
    0.672 - SJR (SCImago Journal Rank)

    2023 Speed
    18 days submission to first editorial decision for all manuscripts (Median)
    206 days submission to accept (Median)

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