Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.
Volume 27, Issue 8·December 2024·28 articles
Harish Nagar, Praveen Ailawalia, Naveen Mani, Rajesh Kumar Saini, Rahul Shukla
In this paper: The theme of this special issue is “Neoteric Advancements in Analysis and Applied Mathematics”. Its goal is to look at new developments in fractional calculus, summability theory, fixed point theory,...
Nand Kishor Jha, Sangeet Kumar, Jatinder Kaur
In this paper: In this paper, we examine the geometry of screen generic lightlike submanifolds of a semi-Riemannian product manifold. Here we find a characterization theorem for the induced connection on a screen ge...
Muskan, Saijal Chandel
In this paper: In this paper, fixed point approach is used to find the existence and unique solution of linear system of equation for the impact analysis of COVID-19 population based problem using the actual data of...
Liya D’Costa, Naresh Menaria
In this paper: The main objective of the paper is to present the concept of fractional calculus on the extended k-generalized ML function Eτ,ς,ξρ,σ,c (x; p). Furthermore, the fractional integral and differential ope...
Sanchit Kapila, Harish Nagar, Sonia Sharma
In this paper: The objective of this paper is to introduce a broader scope of fractional integration and differentiation by incorporating the Modified Bessel function with the MSM operator, which encompasses five pa...
Sanjay Sharma, Aryan Kanjibhai Patel, Naresh Menaria
In this paper: The paper presents new integral formulae involving product of generalized K-Bessel function of first kind ωγ,αk,ϱ,b,c (z) and Hurwitz-Lerch Zeta (HLZ function) function ϕρ,σξ,η (z, s, d) are obtained...
Megha Pingale, Renu Patha, Rahul Shukla, Naveen Mani
In this paper: This article demonstrates the existence of fixed points for two pairs of self-maps in the context of a partially ordered b-metric space, using the C-class function. Furthermore, by the use of compatib...
Isha, Naveen Mani, Anjana, Reeta Bhardwaj
In this paper: Our main purpose in this article to established some results on fixed point for two maps which are non-continuous, non-compatible and non- commutative. We obtain our result without using completeness...
Saijal Chandel, Parveen Tyagi, Naveen Mani
In this paper: Our investigation specifically focuses on rational – type contractions within the framework of recently defined F-modular b-metric spaces (F.m.b.M.s.). Finally, to substantiate our findings, we presen...
Anjana, Naveen Mani, Amit Sharma, Megha Pingale
In this paper: In this article, by employing the notion of locally f – transitivity binary relation in relational theoretic metric space, to find the existence and uniqueness of fixed point for single self-map with...
Akriti Raturi, Saijal Chandel
In this paper: In this paper, a fixed point theorem is proved in bipolar controlled b dislocated metric space first time. Also, the findings of this result are applied to Caputo Fractional Differential Equation for...
Sonia Sharma, Harish Nagar
In this paper: This paper presents some new results with the applications of certain new integral transforms on the “generalized Mittag-Leffler type function”. The generalized function PkRqα,β;γ (z) introduced by K...
Yang Yang Chanu Sanasam, Saijal Chandel
In this paper: In this present paper, one fixed point theorem is proved using Kannan Contraction in strong controlled metric-type space (SCMTS). This result extends the existing theorems on metric space of two types...
Sonal Sharma, Meenakshi Chawla
In this paper: The main objective of this work is to study and develop the theory of Fibonacci statistical convergence of double sequences of order α– in IFNS. We examine the Fibonacci statistically Cauchy double se...
Pallavi Balouria, Meenakshi Chawla
In this paper: The main goal of this paper is to study and develop the theory of λ-Fibonacci statistical convergence of order-α in IFNS. Also λ-Fibonacci statistical Cauchy sequence of order-α and λ-Fibonacci statis...
Sagar Kumar, Vijay Kumar, Archana Sharma
In this paper: In this article we define and develop Zweier J-convergent sequence spaces: Z(M, R, B) (J : O) and Z0(M, R, B) (J : O) using Orlicz function in neutrosophic normed linear spaces. We also study some to...
Ravleen Kaur, Vijay Kumar, Archana Sharma
In this paper: In the present work, we define the notions of statistical convergence, statistical Cauchy and statistical completeness of order β (β ∈ (0,1]) in neutrosophic-n-normed linear spaces (briefly called N-n...
Pranjali Gautam, Harish Nagar, Sonia Sharma
In this paper: The objective of this paper is to explore and establish certain generalized fractional differentiation and integration involving multivariate generalized Mittag-Leffler function introduced by Salim an...
Yukti Mahajan, Harish Nagar
In this paper: This research focuses on exploring the usage of integral and derivative operator of Saigo’s k-fractional type i.e. (Sk.I.O.) and (Sk.D.O.) that utilize the k-hypergeometric function (k-H.F.). The find...
Harish Nagar, Shristi Mishra
In this paper: This manuscript utilizes the Marichev-Saigo-Maeda (MSM) fractional differential (F.D) and fractional integral (F.I) operators to analyze the composition of two functions i.e., Struve function (S.F) an...
Jarusha Ismita Solomon, Meenakshi Chawla
In this paper: In this paper, the objective is to conceptualize weighted statistical convergence of order ã̃ for double sequences in Paranormed spaces. Some correlations between the weighted (λ, μ)-statistical conve...
Ashutosh Sharma, Vijay Kumar, Archana Sharma
In this paper: For the difference operator ∆m and the admissible ideal J ⊆ P(N), we aim in present work to introduce ∆m (J*N)-summability and ∆m (J*N)-summability in neutrosophic-n-normed linear spaces (briefly call...
Saijal Chandel
In this paper: This paper introduces a novel metric space called bipolar b-metric space that is also an expansion of b-metric space and bipolar metric space. Further develop the result of uniqueness and existence of...
Manju Devi, Saijal Chandel
In this paper: In this article, we extend a recent result of Chandra et al. [1] fortwo maps having a novel generalized contractive condition of the Suzuki typeon a complete metric space. We render an example to demo...
Pooja Dhawan, Akshu Grewal
In this paper: In this manuscript, we use g-couplings for b-multiplicative metric spaces for demonstrating the presence of the coupled coincidence point. Additionally, we demonstrate the presence of a fixed point wi...
Anil Kumar Menaria
In this paper: The existence and uniqueness of solutions for linear and nonlinear fractional differential equations (FDE) involving Miller-Ross sequential fractional derivatives (SFD) can be established through math...
Pooja Dhawan, Vishal Gupta, Akshu Grewal
In this paper: This project aims to introduce (z, a, b)-contractions of type-A in b-metric-like spaces (BMLS) utilizing (a, b)-Geraghty contractions [9] introduced in 2019. In the first section of this work, a new c...
In this paper:
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