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Journal of Computational Mathematics, Intelligent and Secure Systems
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COLLNET Journal of Scientometrics and Information Management
68 articlesEst. 2007Half-Yearly
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Journal of Discrete Mathematical Sciences and Cryptography
968 articlesEst. 1998Monthly
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Journal of Dynamical Systems and Geometric Theories
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Journal of Information and Optimization Sciences
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Journal of Interdisciplinary Mathematics
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Journal of Statistics and Management Systems
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Open Access
Research Article·pp. 2737–2748·Vol. 29, Issue 9Sep 2026
Capturing nonlinear dynamical behavior of the (3+1)-dimensional Zakharov-Kuznetsov equation arising in shallow water waves by using Lie group theory
Kajal Bhati, Nidhi Sahni, Anshu Kumar, Khursheed Alam
Published Online: 30 Sep 2026DOI: 10.47974/JIM-2665
In this paper: In this research work, the Zakharov–Kuznetsov equation is solved analytically utilizing the similarity transformations approach via classical theory of Lie-group. At each stage, the similarity transfo...
Open Access
Research Article·pp. 2721–2735·Vol. 29, Issue 9Sep 2026
Mathematical foundations of interpretable and explainable artificial intelligence : A theoretical framework for trustworthy learning models
Thamarai Selvi Vaidhyanathan, Vaidhyanathan Pandian
Published Online: 30 Sep 2026DOI: 10.47974/JIM-2664
In this paper: The recent advancements in Artificial Intelligence (AI) models, particularly in finance, transportation, and autonomous systems, have resulted in a growing demand for the development of models that ar...
Open Access
Research Article·pp. 2711–2720·Vol. 29, Issue 9Sep 2026
Fractional diffusion model for removing additive noise with forward-backward diffusivity
Monika Rani, Santosh Kumar
Published Online: 30 Sep 2026DOI: 10.47974/JIM-2663
In this paper: The PDE-based diffusion model is very effective in reducing noise and preserving edges, which are the major problems in image processing. This paper aims to propose a time-fractional diffusion model t...
Open Access
Research Article·pp. 2749–2757·Vol. 29, Issue 9Sep 2026
Novel results on transformation identities for bilateral basic hypergeometric series
Ranu Singh, Nidhi Sahni
Published Online: 30 Sep 2026DOI: 10.47974/JIM-2706
In this paper: The present work develops a systematic approach to construct some transformation formulas and identities for bilateral basic hypergeometric series. By employing the bilateral Bailey transformation giv...
Open Access
Research Article·pp. 2699–2709·Vol. 29, Issue 9Sep 2026
Fractional order disturbance observer based adaptive sliding mode hybrid synchronization of Tuberculosis system
Ayub Khan, Neeti Goel, Diya Baidya
Published Online: 30 Sep 2026DOI: 10.47974/JIM-2662
In this paper: This paper explores chaotic behaviour in a fractional-order Tuberculosis model, utilizing Caputo derivatives to capture essential memory and hereditary effects in disease transmission. To address real...
Open Access
Research Article·pp. 2759–2767·Vol. 29, Issue 9Sep 2026
Synchronization of novel hyper-chaotic finance system via adaptive control
Meenu, Ayub Khan, Khursheed Alam
Published Online: 30 Sep 2026DOI: 10.47974/JIM-2702
In this paper: In the current studies, we propose a new non-linear hyper-chaotic financial system. Dynamical analysis of this system features dynamic complexity leading to hyper-chaotic behavior. Synchronization has...
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