16 citations · 41 across the 33 of their papers we have counts for
13 papers · 1 filter
A New Fractal Derivative and Its Integral Transform Methods for Economic Models
Krishna Mani Nath, Bipan Hazarika
In this paper, we introduce the RLC-fractal derivative along with the fractal Laplace and fractal Sumudu transforms of it. Then we apply these transformations to solve economic mod…
Applications of Fractal Sumudu Transform in Economic Models
Krishna Mani Nath, Bipan Hazarika, Hemanta Kalita
In this paper, we present a new fractal derivative with a nonsingular kernel and analyze its fundamental properties. The effectiveness of the proposed operator is illustrated throu…
On Abstract Nonlinear Integro-Dynamic Equations in Time Scale
Abdul Awal Hadi Ahmed, Bipan Hazarika
In this paper, we investigate the existence of the asymptotically almost automorphic solution of the following type of abstract nonlinear integro-dynamic equation \begin{eqnarray*}…
Nabla Fractional Derivative and Fractional Integral on Time Scales
Bikash Gogoi, Utpal Kumar Saha, Bipan Hazarika +2
In this paper, we introduce the nabla fractional derivative and fractional integral on time scales in the Riemann-Liouville sense. We also introduce the nabla fractional derivative…
Arithmetic summable sequence space over non-Newtonian field
Taja Yaying, Bipan Hazarika
Recently Ruckle \cite{RuckleArithmeticalSummability} introduced the theory of arithmetical summability suggested by the sum as ranges over the divisors of…
Notes on interval-valued Hesitant fuzzy soft Topological Space
Manash Jyoti Borah, Bipan Hazarika
In this paper we introduce the notion of interval valued hesitant fuzzy soft topological space. Also the concepts of interval valued hesitant fuzzy soft closure, interior and neigh…
Lacunary arithmetic statistical convergence
Taja Yaying, Bipan Hazarika
A lacunary sequence is an increasing integer sequence such that as In this article we introduce arithmetic statisti…
Fuzzy soft numbers
Manash Jyoti Borah, Bipan Hazarika
In this paper, we introduce the notion of fuzzy soft numbers. Here defined fuzzy soft number and four arithmetic operations and re…
Bigeometric Calculus and its applications
Khirod Boruah, Bipan Hazarika
Based on M. Grossman in \cite{Grossman83} and Grossman an Katz \cite{GrossmanKatz}, in this paper we discuss about the applications of bigeometric calculus in different branches of…
Some basic properties of G-Calculus and its applications in numerical analysis
Khirod Boruah, Bipan Hazarika
Objective of this paper is to introduce a new type of calculus which will be called G-Calculus based on non-Newtonian calculus introduced by Grossman and Katz \cite{GrossmanKatz}.…
Composite mapping on hesitant fuzzy soft classes
Manash Jyoti Borah, Bipan Hazarika
In this paper, we study composite mapping on hesitant fuzzy soft classes. We also establish some interesting properties of this notion and support them with examples. Also definiti…
Some operators on interval-valued Hesitant fuzzy soft sets
Manash Jyoti Borah, Bipan Hazarika
The main aim of this paper is to introduced the operations "Union" and "Intersection," and four operators on interval-valued hesitant fuzzy soft sets and disc…
Ideal-quasi-Cauchy sequences
Huseyin Cakalli, Bipan Hazarika
An ideal is a family of subsets of positive integers which is closed under taking finite unions and subsets of its elements. A sequence of real numbers is…