Preface: Special issue on interdisciplinary perspectives in applied mathematics

  • Mangey Ram Graphic Era (Deemed to be University), Dehradun, India\
  • Shristi Kharola Graphic Era (Deemed to be University), Dehradun, India
  • Akshay Kumar Graphic Era Hill University, Dehradun, India
  • Nupur Goyal Graphic Era (Deemed to be University), Dehradun, India.
  • Adarsh Anand University of Delhi, New Delhi, India


This special issue (SI) is targeted at exploring the diverse applications of applied mathematics across various domains, from consumer behaviour to the design and optimization of recently developed techniques. Mathematical models in a variety of engineering and management domains have been proposed. Diverse array of themes like Metaheuristics, Game theory, Dimensional analysis, Constrained optimization, Numerical methods, etc., have been covered in the articles, included in this collection and some are invited papers. This SI consists of original, high quality and unpublished works which have been peer reviewed by the journal.

This SI comprises studies across various domains. Aggarwal et al. [1] addressed the integration of frequent product version launches and multi-stage diffusion dynamics. They introduced a novel approach and utilized Runge-Kutta numerical methods for analysis. Kumar et al. [2] introduced a modified version of Wild Horse Optimization (MWHO) to address the reliability redundancy allocation problem (RRAP). MWHO is applied to optimize the allocation of redundant components in three standard RRAP benchmark problems. Sarkar and Srivastava [3] addressed the telecom market share (TMS) problem, a multi-objective decision-oriented problem. Two methodologies, Nash bargaining and single-valued neutrosophic fuzzy goal programming are proposed for decision-making in TMS. Saini et al. [4] presented a methodology to determine eigen-frequencies (EF) of small adiabatic pseudo-radial modes of oscillations in rotationally and tidally (R&T) deformed stellar models, considering mass variation. The method is applied to calculate precise radial modes of oscillations in composite models with varied envelope-core interactions, revealing insights from three distinct interfaces (0.3, 0.5, and 0.7). Amandeep et al. [5] developed a mathematical model to analyze the effect of Non-Newtonian behavior of blood in stenosed arteries using the Herschel-Bulkley fluid model. The model provides analytical solutions for flow rate, flow resistance, and wall shear stress under given boundary conditions. Kumar and Dubey [6] formulated higher-order Mond-Weir and Wolfe type symmetric primal-dual models with polyhedral cones over complex spaces and discussed their duality theorems under generalized assumptions. They also formulated a non-differentiable higher order Mond-Weir and Wolfe type symmetric model and derived corresponding duality theorem under generalized assumptions. Khetan et al. [7] explored a two-species prey-predator system with swarm behavior, leading to cooperative behavior and intra-specific competition among predators post-harvesting. The study highlights the influence of inter-dependent competitiveness and joint harvesting on system stability. Overall, the model provides insights into predator-prey dynamics in natural environments. Bakshi and Aggarwal [8] addressed challenges in object detection for self-driving cars in adverse weather conditions like rain, low illumination, and occlusion. By training the system on real rain images and applying color augmentation and heat map generation techniques, it enhances object detection and categorization, significantly improving average precision compared to baseline models, with a mean average precision of 97 \%. Choudhary et al. [9] optimized the cost and reliability of a Hybrid Wind-Solar Power Charging Station for Electric Vehicles (HWSCSEV) using metaheuristic techniques like OOA, POA, SOA, and VPPSO. By integrating wind and solar energy sources, the model ensures efficient charging for electric vehicles while minimizing costs. The study compares the performance of these algorithms based on convergence rate, computational time, and statistical analysis to determine the most effective approach. Kumar and Ram [10] modeled the heat transfer of a magneto hydro dynamic (MHD) Casson fluid on a convectively heated exponentially stretching surface, considering heat absorption, suction, and thermal radiation effects. Devender and Ram [11] investigated hematite suspension-based inclined slider pads under oblique variable magnetic fields and squeeze, using the theory of Shilomis flow of ferro fluids. Mathematical modeling is employed to analyze pressure, load capacity, and optimal film ratio values, revealing the impact of field strength and particle rotation on load. Tripathi et al. [12] presented a computational scheme to analyze Burgers’ equation with periodic boundaries, modeling diffusive shock waves in viscous mediums. Utilizing the collocation method with Cubic B-splines for spatial discretization, the equation is transformed into a system of ODEs and solved using the Runge-Kutta method. Kharola et al. [13] evaluated three fuzzy set extensions—intuitionistic fuzzy sets, hesitant fuzzy sets, and dual hesitant fuzzy sets—for dealing with uncertainty in UAV system reliability analysis. Using fuzzy reliability theory with Weibull distribution, the study demonstrates variations in outcomes through numerical and graphical illustrations. Shivani et al. [14] evaluated the reliability, availability, maintainability, and dependability (RAMD) of a paper mill system, crucial for its performance improvement. Mathematical models based on Markov birth-death processes are developed to analyze production under steady-state conditions for the six subsystems.

Samreen Farid et al. [15] discuss the application of q-Homotopy analysis method via fractional complex transformation for time fractional coupled Jaulent-Miodek equation.Mansouria Saidani et al. [16] present hyper-order estimates for transcendental meromorphic solutions of linear complex differential equations. Pihire Vincent Ouena et al. [17] study the asymptotically (?,c)-periodic mild solutions to integro-differential equations. Gagandeep Singh et al. [18], present certain subclass of meromorphic close-to-convex functions. Tanmay Biswas, Chinmay Biswas,[19] discuss some remarks on the relative order and relative type of entire monogenic functions. P. Kanimozhi et al. [20], presented a new result on Caputo-Fabrizio fractional implicit  pantograph differential inclusions with non-instantaneous impulses in Banach spaces. Fouad Fredj et al. [21] study the existence and Hyers-Ulam stability of random coupled system of multi-fractional differential equations in generalized Banach space. Kamal N. Soltanov et al. [22],presented some remarks on the controllability of dynamics of propagation of cancer. Saeid Shokooh [23], study the existence of solutions for a non-local equation on the Sierpinski gasket.