Open Access
·pp. 1–8·Vol. 29, Issue 9Sep 2026
Khursheed Alam, Sweta Srivastav, Sangeeta Gupta, Sunil Kumar Maurya
Published Online: 30 Sep 2026DOI: 10.47974/JIM-29-9-Foreword In this paper: This special issue of Journal of Interdisciplinary Mathematics, titled “Recent Advances in Interdisciplinary Mathematical Modelling, Nonlinear Dynamics, Fractional Systems, and Computational Technique...
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Open Access
Research Article·pp. 2637–2652·Vol. 29, Issue 9Sep 2026
Ayub Khan, Pardeep Kumar, Govind Kumar Jha, Meenu, Sarita Jha
Published Online: 30 Sep 2026DOI: 10.47974/JIM-2657 In this paper: Understanding and controlling chaotic dynamics in biological systems is critical for predicting disease progression and maintaining ecological balance. In this work, we develop a fractional-order, neu...
Open Access
Research Article·pp. 2653–2671·Vol. 29, Issue 9Sep 2026
Mohammed Raziuddin, Mohammed Naheed, Mohammad Shahzad
Published Online: 30 Sep 2026DOI: 10.47974/JIM-2658 In this paper: In this study, the theme of internal synchronization and anti-synchronization is proposed as the coordination between combinations (subsystems) of a universal chaotic/hyper-chaotic dynamical system. T...
Open Access
Research Article·pp. 2673–2686·Vol. 29, Issue 9Sep 2026
Vikash, Ayub Khan, Khursheed Alam
Published Online: 30 Sep 2026DOI: 10.47974/JIM-2659 In this paper: The dynamical properties of a recently developed four-dimensional hyperchaotic financial system are examined in this work. The model’s complexity is investigated using Lyapunov exponents, Poincaré sec...
Open Access
Research Article·pp. 2687–2697·Vol. 29, Issue 9Sep 2026
Neha Sharma, Chetan Kumar Sharma, Mohammad Shadab
Published Online: 30 Sep 2026DOI: 10.47974/JIM-2661 In this paper: This study introduces the generating function of a mixed-type polynomial known as the Truncated Exponential-based Apostol-Bernoulli Polynomials of degree β. We also show other important identities and...
Open Access
Research Article·pp. 2699–2709·Vol. 29, Issue 9Sep 2026
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. 2711–2720·Vol. 29, Issue 9Sep 2026
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. 2721–2735·Vol. 29, Issue 9Sep 2026
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. 2737–2748·Vol. 29, Issue 9Sep 2026
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. 2749–2757·Vol. 29, Issue 9Sep 2026
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. 2759–2767·Vol. 29, Issue 9Sep 2026
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...
Open Access
Research Article·pp. 2769–2778·Vol. 29, Issue 9Sep 2026
Masood Alam, Khursheed Alam
Published Online: 30 Sep 2026DOI: 10.47974/JIM-2710 In this paper: This paper addresses the problem of chaos anti-synchronization between two distinct nonlinear dynamical systems: a chaotic financial system describing interest rates, investment demand, and price indi...
Open Access
·pp. 2779–2794·Vol. 29, Issue 9Sep 2026
Niranjan, Jyoti Talwar, R. K. Mohanty
Published Online: 30 Sep 2026DOI: 10.47974/JIM-2705 In this paper: We report a new 3-step explicit iteration procedure arranged group wise based on compact 2-level implicit exponential spline approximation of O(2,4) for the solution of 1D nonlinear parabolic equation...
Open Access
Research Article·pp. 2795–2805·Vol. 29, Issue 9Sep 2026
Monika Rani, Santosh Kumar, Khursheed Alam, Alka Chauhan
Published Online: 30 Sep 2026DOI: 10.47974/JIM-2707 In this paper: This paper introduces a novel nonlinear diffusion-based hyperbolic model and assesses its effectiveness in image denoising. A set of images with different noise levels is processed using a diffusion-b...
Open Access
Research Article·pp. 2807–2820·Vol. 29, Issue 9Sep 2026
Malvika Gupta, Parma Nand, Ankur Choudhary
Published Online: 30 Sep 2026DOI: 10.47974/JIM-2708 In this paper: With the advancement of telemedicine, it is very important to preserve the authenticity of the medical image, shared remotely. Watermarking is commonly used to ensure the legitimacy of medical image o...
Open Access
Research Article·pp. 2821–2833·Vol. 29, Issue 9Sep 2026
Vikash, Khursheed Alam, Ayub Khan
Published Online: 30 Sep 2026DOI: 10.47974/JIM-2709 In this paper: This study examines the synchronization of fractional-order hyperchaotic financial systems using state feedback and impulsive control methods. The main objective is to make one financial system follow...
Open Access
Research Article·pp. 2835–2851·Vol. 29, Issue 9Sep 2026
Rashmi Singh, Neha Bhardwaj, Khursheed Alam
Published Online: 30 Sep 2026DOI: 10.47974/JIM-2704 In this paper: This paper is an analytic enquiry of the integration of the nearset theory with a study of chaotic systems in order to determine patterns upon which to adhere to in pattern recognition. Near sets prov...
Open Access
Research Article·pp. 2853–2863·Vol. 29, Issue 9Sep 2026
Santosh Kumar, Khursheed Alam
Published Online: 30 Sep 2026DOI: 10.47974/JIM-2711 In this paper: The most difficult and fundamental obstacles in image processing are reducing blur and noise in blurred noisy images. In this paper, we present a nonlinear fractional diffusion model for removing blur...
