Skip to main content
Advances in Continuous and Discrete Models

Theory and Modern Applications

Advances in Continuous and Discrete Models Cover Image

Articles

Page 3 of 99

  1. In this work, the Chebyshev collocation scheme is extended for the Volterra integro-differential equations of pantograph type. First, we construct the operational matrices of pantograph and derivative based on...

    Authors: Tianfu Ji, Jianhua Hou and Changqing Yang
    Citation: Advances in Continuous and Discrete Models 2022 2022:57
    Content type: Research Published on:

  2. Image denoising approaches based on partial differential modeling have attracted a lot of attention in image processing due to their high performance. The nonlinear anisotropic diffusion equations, specially P...

    Authors: Jalil Mazloum and Behrang Hadian Siahkal-Mahalle
    Citation: Advances in Continuous and Discrete Models 2022 2022:56
    Content type: Research Published on:

  4. In this paper, we focus on the development and study of the finite difference/pseudo-spectral method to obtain an approximate solution for the time-fractional diffusion-wave equation in a reproducing kernel Hi...

    Authors: Mojtaba Fardi, Shrideh K. Qasem Al-Omari and Serkan Araci
    Citation: Advances in Continuous and Discrete Models 2022 2022:54
    Content type: Research Published on:

  5. In this paper, we construct a new linear second-order finite difference scheme with two parameters for space-fractional Allen–Cahn equations. We first prove that the discrete maximum principle holds under reas...

    Authors: Kai Wang, Jundong Feng, Hongbo Chen and Changling Xu
    Citation: Advances in Continuous and Discrete Models 2022 2022:53
    Content type: Research Published on:

  6. The goal of this paper is to present a new class of operators satisfying the Prešić-type rational η-contraction condition in the setting of usual metric spaces. New fixed point results are also obtained for these...

    Authors: Hasanen A. Hammad, Mohamed Elmursi, Rashwan A. Rashwan and Hüseyin Işık
    Citation: Advances in Continuous and Discrete Models 2022 2022:52
    Content type: Research Published on:

  9. We provide convergence guarantees for the Deep Ritz Method for abstract variational energies. Our results cover nonlinear variational problems such as the p-Laplace equation or the Modica–Mortola energy with esse...

    Authors: Patrick Dondl, Johannes Müller and Marius Zeinhofer
    Citation: Advances in Continuous and Discrete Models 2022 2022:49
    Content type: Research Published on:

  10. This paper proposes a local meshless radial basis function (RBF) method to obtain the solution of the two-dimensional time-fractional Sobolev equation. The model is formulated with the Caputo fractional deriva...

    Authors: Zakieh Avazzadeh, Omid Nikan, José Tenreiro Machado and Mohammad Navaz Rasoulizadeh
    Citation: Advances in Continuous and Discrete Models 2022 2022:48
    Content type: Research Published on:

  14. We examine a class of nonlinear fractional Mathieu equations with a damping term. The equation is an important equation of mathematical physics as it has many applications in various fields of the physical sci...

    Authors: Amel Berhail, Nora Tabouche, Jehad Alzabut and Mohammad Esmael Samei
    Citation: Advances in Continuous and Discrete Models 2022 2022:44
    Content type: Research Published on:

  15. In this manuscript, we examine both the existence and the stability of solutions to the boundary value problem of Caputo fractional differential equations of variable order by converting it into an equivalent ...

    Authors: Amar Benkerrouche, Mohammed Said Souid, Fahd Jarad and Ali Hakem
    Citation: Advances in Continuous and Discrete Models 2022 2022:43
    Content type: Research Published on:

  16. The uncertain production-inventory problem with deteriorating items is investigated and an optimal control model is developed in the present paper. The uncertain production-inventory problem is perturbed by an...

    Authors: Jiayu Shen, Yueqiang Jin, Bing Liu, Ziqiang Lu and Xin Chen
    Citation: Advances in Continuous and Discrete Models 2022 2022:42
    Content type: Research Published on:

  21. In this article, we present a fractional Kersten–Krasil’shchik coupled KdV-mKdV nonlinear model associated with newly introduced Atangana–Baleanu derivative of fractional order which uses Mittag-Leffler functi...

    Authors: Naveed Iqbal, Thongchai Botmart, Wael W. Mohammed and Akbar Ali
    Citation: Advances in Continuous and Discrete Models 2022 2022:37
    Content type: Research Published on:

  22. In this paper, we investigate periodic boundary value problems for Caputo type fractional semilinear nonautonomous differential equations with non-instantaneous impulses. By using semigroup theory combined wit...

    Authors: Xue Wang and Bo Zhu
    Citation: Advances in Continuous and Discrete Models 2022 2022:36
    Content type: Research Published on:

  24. We investigate the fractional dynamics of a coronavirus mathematical model under a Caputo derivative. The Laplace–Adomian decomposition and Homotopy perturbation techniques are applied to attain the approximat...

    Authors: Adnan, Amir Ali, Mati ur Rahmamn, Zahir Shah and Poom Kumam
    Citation: Advances in Continuous and Discrete Models 2022 2022:34
    Content type: Research Published on:

  26. Nonlinear fractional difference equations are studied deeply and extensively by many scientists by using fixed-point theorems on different types of function spaces. In this study, we combine fixed-point theory...

    Authors: Pshtiwan Othman Mohammed, Hari Mohan Srivastava, Juan L. G. Guirao and Y. S. Hamed
    Citation: Advances in Continuous and Discrete Models 2022 2022:32
    Content type: Research Published on:

  27. Study of ecosystems has always been an interesting topic in the view of real-world dynamics. In this paper, we propose a fractional-order nonlinear mathematical model to describe the prelude of deteriorating q...

    Authors: Pushpendra Kumar, V. Govindaraj, Vedat Suat Erturk and Mohamed S. Mohamed
    Citation: Advances in Continuous and Discrete Models 2022 2022:31
    Content type: Research Published on:

  29. This paper studies the compression of partial differential operators using neural networks. We consider a family of operators, parameterized by a potentially high-dimensional space of coefficients that may var...

    Authors: Fabian Kröpfl, Roland Maier and Daniel Peterseim
    Citation: Advances in Continuous and Discrete Models 2022 2022:29
    Content type: Research Published on:

  31. This research paper designs the noninteger order SEITR dynamical model in the Caputo sense for tuberculosis. The authors of the article have classified the infection compartment into four different compartment...

    Authors: Jitendra Panchal, Falguni Acharya and Kanan Joshi
    Citation: Advances in Continuous and Discrete Models 2022 2022:27
    Content type: Research Published on:

  32. Fractional differential equations have recently demonstrated their importance in a variety of fields, including medicine, applied sciences, and engineering. The main objective of this study is to propose an Ad...

    Authors: Nur Amirah Zabidi, Zanariah Abdul Majid, Adem Kilicman and Zarina Bibi Ibrahim
    Citation: Advances in Continuous and Discrete Models 2022 2022:26
    Content type: Research Published on:

  33. In this paper, we introduce and study a new accelerated algorithm based on forward–backward and SP-algorithm for solving a convex minimization problem of the sum of two convex and lower semicontinuous function...

    Authors: Pornsak Yatakoat, Suthep Suantai and Adisak Hanjing
    Citation: Advances in Continuous and Discrete Models 2022 2022:25
    Content type: Research Published on:

  36. In this paper, we establish some new inequalities of Simpson’s type for differentiable convex functions involving some parameters and generalized fractional integrals. The results given in this study are a gen...

    Authors: Xuexiao You, Muhammad Aamir Ali, Hüseyin Budak, Hasan Kara and Dafang Zhao
    Citation: Advances in Continuous and Discrete Models 2022 2022:22
    Content type: Research Published on:

  37. This work is concerned with the issue of dissipative filtering for stochastic semi-Markovian jump via neural networks where the time-varying delay is based upon another semi-Markov process. Dissipative perform...

    Authors: Muhammad Shamrooz Aslam, Qianmu Li, Jun Hou and Hua Qiulong
    Citation: Advances in Continuous and Discrete Models 2022 2022:21
    Content type: Research Published on:

  38. We consider a version of the pole placement problem for tempered one-sided linear discrete-time time-varying linear systems. We prove a sufficient condition for assignability of the nonuniform dichotomy spectr...

    Authors: Artur Babiarz, Adam Czornik and Stefan Siegmund
    Citation: Advances in Continuous and Discrete Models 2022 2022:20
    Content type: Research Published on:

  40. In this paper, we investigate the partial asymptotic stability (PAS) of neutral pantograph stochastic differential equations with Markovian switching (NPSDEwMSs). The main tools used to show the results are th...

    Authors: Lassaad Mchiri, Tomás Caraballo and Mohamed Rhaima
    Citation: Advances in Continuous and Discrete Models 2022 2022:18
    Content type: Research Published on:

  41. According to the theory of regular geometric functions, the relevance of geometry to analysis is a critical feature. One of the significant tools to study operators is to utilize the convolution product. The d...

    Authors: F. Ghanim, Hiba F. Al-Janaby and Omar Bazighifan
    Citation: Advances in Continuous and Discrete Models 2022 2022:17
    Content type: Research Published on:

  42. The objective of this article is to study a three-step iteration process in the framework of Banach spaces and to obtain convergence results for Suzuki generalized nonexpansive mappings. We also provide numeri...

    Authors: Izhar Uddin, Chanchal Garodia, Thabet Abdeljawad and Nabil Mlaiki
    Citation: Advances in Continuous and Discrete Models 2022 2022:16
    Content type: Research Published on:

  43. In this paper, the dynamical behavior of a mathematical model of cancer including tumor cells, immune cells, and normal cells is investigated when a delay term is induced. Though the model was originally propo...

    Authors: Anusmita Das, Kaushik Dehingia, Hemanta Kumar Sarmah, Kamyar Hosseini, Khadijeh Sadri and Soheil Salahshour
    Citation: Advances in Continuous and Discrete Models 2022 2022:15
    Content type: Research Published on:

  44. The aim of this paper is to examine the existence of at least two distinct nontrivial solutions to a Schrödinger-type problem involving the nonlocal fractional http://static-content.springer.com/image/art%3A10.1186%2Fs13662-022-03689-6/13662_2022_3689_Article_IEq2.gif ...

    Authors: Jongrak Lee, Jae-Myoung Kim, Yun-Ho Kim and Andrea Scapellato
    Citation: Advances in Continuous and Discrete Models 2022 2022:14
    Content type: Research Published on:

  45. We investigate the functioning of a classifying biological neural network from the perspective of statistical learning theory, modelled, in a simplified setting, as a continuous-time stochastic recurrent neura...

    Authors: Youness Boutaib, Wiebke Bartolomaeus, Sandra Nestler and Holger Rauhut
    Citation: Advances in Continuous and Discrete Models 2022 2022:13
    Content type: Research Published on:

  46. We investigate a general sequential hybrid class of fractional differential equations in the Caputo and Atangana–Baleanu fractional senses of derivatives. We consider the existence and uniqueness of solutions ...

    Authors: Aziz Khan, Zareen A. Khan, Thabet Abdeljawad and Hasib Khan
    Citation: Advances in Continuous and Discrete Models 2022 2022:12
    Content type: Research Published on:

  47. We analyze a time-delay Caputo-type fractional mathematical model containing the infection rate of Beddington–DeAngelis functional response to study the structure of a vector-borne plant epidemic. We prove the...

    Authors: Pushpendra Kumar, Dumitru Baleanu, Vedat Suat Erturk, Mustafa Inc and V. Govindaraj
    Citation: Advances in Continuous and Discrete Models 2022 2022:11
    Content type: Research Published on:

  48. In this work, we explore the limiting behavior of Riemann solutions to the Euler equations in isentropic gas dynamics with general pressure law. We demonstrate that in the distributional sense the delta wave o...

    Authors: Muhammad Ibrahim, Anwarud Din, Abdullahi Yusuf, Yu-Pei Lv, Hadi Jahanshahi and Ayman A. Aly
    Citation: Advances in Continuous and Discrete Models 2022 2022:10
    Content type: Research Published on:

  49. We present unified versions of Minkowski-type fractional integral inequalities with the help of fractional integral operator based on a unified Mittag-Leffler function. These inequalities provide new as well a...

    Authors: Shuang-Shuang Zhou, Ghulam Farid and Ayyaz Ahmad
    Citation: Advances in Continuous and Discrete Models 2022 2022:9
    Content type: Research Published on:

  50. Fractional calculus operators play a very important role in generalizing concepts of calculus used in diverse fields of science. In this paper, we use Riemann–Liouville fractional integrals to establish genera...

    Authors: Ghulam Farid, Josip Pec̆arić and Kamsing Nonlaopon
    Citation: Advances in Continuous and Discrete Models 2022 2022:8
    Content type: Research Published on:
Submit manuscript

Annual Journal Metrics

  • Citation Impact 2023
    Journal Impact Factor: 3.1
    5-year Journal Impact Factor: 2.3
    Source Normalized Impact per Paper (SNIP): 1.007
    SCImago Journal Rank (SJR): 0.504

    Speed 2023
    Submission to first editorial decision (median days): 18
    Submission to acceptance (median days): 206

    Usage 2023
    Downloads: 880,067
    Altmetric mentions: 10

  • ISSN: 2731-4235 (electronic)