Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.
Surjeet Singh Chauhan (Gonder), Harish Nagar, Naveen Mani, Rahul Shukla, Norma Alias, Jitendra Kumar
In this paper: This special issue on “Advances in Analysis, Algebra and Applied Mathematics” brings together contemporary research contributions addressing emerging challenges and opportunities in modern mathematics...
Ninny Verma, Chaudhary Haresh Ravjibhai, Anil Kumar Menaria
In this paper: This study investigates thermal distribution and heat flux behaviour in a CuPuZn brass alloy using a fractional-order heat conduction model. The analysis extends to one-, two-, and three-dimensional b...
Aruhi Somal, Naveen Mani, Rahul Shukla
In this paper: In the present paper we study coincidence point results for three self-mappings in partially ordered S-metric spaces by using the concept of (θ,α,Υ)-type contractions. The result produced, within this...
Kanika Rana, Surjeet Singh Chauhan (Gonder)
In this paper: In this study, generalized rational type contraction mappings and its research is done in the framework of extended rectangular b-metric space (Erbms) under the condition that rational type contractio...
Shweta Lather, Harish Nagar
In this paper: The present work introduces the k-incomplete second Appell hypergeometric matrix functions for positive real values of k. It establishes various generalized properties related to integral representati...
Manju Rani, Naveen Mani
In this paper: In this research, we utilize the Jungck-Ishikawa and Jungck-Noor iteration techniques in combination with s-convexity to derive the escape criteria for generating fractals of the complex-valued sine f...
Manju Devi, Surjeet Singh Chauhan (Gonder)
In this paper: This paper introduces a novel approach to Kannan-type contractions by integrating the concept of harmonic mean, offering a fresh perspective on fixed-point (FP) theory in metric spaces (MS). We introd...
Sopan Raosaheb Shinde, Kalyani Vishal Doke, Santosh Dnyandev Jadhav
In this paper: In this research work, we study 𝔮-calculus focusing on the development of quantum estimates involving 𝔮-differentials and 𝔮-integrals. By constructing identities based on these quantum tools, we analy...
Sopan Raosaheb Shinde, Kalyani Vishal Doke, Santosh Dnyandev Jadhav
In this paper: This Manuscript explores fixed point theory in both fuzzy and non-ℱℳ𝒮s, focusing on two distinct contractive mappings and their associated fixed point theorems. We redefine ℱℳ𝒮s by employing fuzzy con...
Santosh Dnyandev Jadhav, Sopan Raosaheb Shinde, Kalyani Vishal Doke
In this paper: This research study, we explore a family of CV map both univalent and sensepreserve within Z, and which are expressed in ℏ( ̃) = l( ̃)+(κ( ̃)) whereas l( ̃) with κ( ̃) are analytic throughout Z.A...
Parveen Tyagi, Surjeet Singh Chauhan (Gonder)
In this paper: This article introduces a novel Multiplicative-Modular b-Metric Space (MMbMS), which generalizes two Metric Spaces by relaxing the Triangle Inequality. We establish its properties and prove the Banach...
Ritu Saharan, Naveen Kumar
In this paper: We present a novel fixed-point iterative algorithm, termed as Modified Picard-Krasnoselskii Hybrid Algorithm, abbreviated as PKm algorithm (m denotes the modification level). This new process is devel...
Manbhalang Chyne, Naveen Kumar
In this paper: In this work, a variant of the Picard–Ishikawa hybrid scheme is introduced which is designed for approximation of fixed points for contractive mappings in Banach spaces. The corresponding iterative se...
Vishali Kansal, Naveen Kumar
In this paper: This paper presents a ground-breaking framework—Neuro-Quantum Iterative Algorithm (NQIA)—that unifies neural meta-learning with quantum-inspired operator dynamics to solve fixed point problems in abst...
Monika Kalra, Kiran Utreja, Krishan Kumar
In this paper: Sustainability scientists often work with complex, nonlinear systems that are governed by differential equations. Traditional numerical methods are error-free, but when used in dynamic or uncertain en...
Kiran Singh Sisodiya (Bais), Lalit Kumar, Santosh Kumar, Navjot Kaur
In this paper: This research represents an organized comparison of the efficiency of classical iterative root-finding algorithms like Newton-Raphson, secant and bisection with Ramanujan technique which is more speci...
Sonia Bhalla, Gurjeet Singh
In this paper: Numerical root-finding methods of nonlinear equations (NLE) are important as it has a many applications in engineering and sciences. Therefore, this arises to the study of the designing and stability...
Jiten Sharma, Sangeeta Kumari
In this paper: The propagation of plane waves in a two-dimensional microstretch thermoelastic medium with two temperatures and initial stress is examined in this study. The study makes use of microstretch theory, wh...
Shiv Kumar Sharma, Rohit Kumar Rana
In this paper: In order to address time-dependent faults in software systems, this work presents a novel Imperfect Debugging Software Reliability Growth Model for time dependent faults. Recognizing the intrinsic fla...
Sandeep Kaur, Naveen Mani, Amit Sharma
In this paper: This paper establishes fixed-point theorems for multivalued mappings in the setting of complete partially ordered strong b-metric spaces. By employing appropriate rational contractive conditions toget...
Kuldip Katiyar, Bhagwati Prasad Chamola
In this paper: This article aims to introduce a novel fractal method for approximating and visualizing the positive sets of data with the help of trigonometric fractal interpolation function, named as Rational-Quadr...
Atul Chandola, Ruchi Sharma, Bhavya, Chetan
In this paper: New Model of Public Health Value of Vaccination Integrating Social Network Structure and Time-Varying Parameters. We introduce a new mathematical model of public health value of vaccination that integ...
Akriti Raturi, Surjeet Singh Chauhan (Gonder)
In this paper: This paper introduces new fixed point theorems for non-expansive mappings specifically within complete CAT(0) spaces, which are vital instances of geodesic metric spaces characterized by non-positive...
Pooja Dhawan, Aaina Singla, Naveen Mani
In this paper: This paper introduces a novel approach to multi-attribute decision making (MADM) using fixed point theory in fuzzy 𝔉-metric spaces (𝔉ℱ-ℳS). We establish a chain-type fuzzy contraction condition involv...
Nishi Gupta, Harpreet Kaur, Gargee Chakraborty, Harjot Kaur
In this paper: The objective of this study is to clarify how different thicknesses affected a revolving composite disk made of AlSiCp with different particle sizes. Using mathematical modeling, the impact of differe...
Mohit Khatik, Abhilasha Meena, Naresh Menaria
In this paper: We propose a comprehensive study of the generalized eight-parameter Mittag-Leffler (8P-ML) function and its operational properties under various fractional calculus operators. Explicit results are der...
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