16 citations · 41 across the 33 of their papers we have counts for
38 papers
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…
Some q-fractional order difference sequence spaces
Taja Yaying, Pinakadhar Baliarsingh, Bipan Hazarika
This paper intends to develop a -difference operator of fractional order , and give several intriguing properties of this new difference operator. Our main f…
Solvability of Infinite Systems of Nonlinear Caputo Fractional Differential equations in generalized Hahn Sequence Space
Khurshida Parvin, Bipan Hazarika, Awad A. Bakery
This paper presents the Hausdorff measure of noncompactness (MNC) within the framework of the generalized Hahn sequence space. By applying the MNC, we explore the existence of solu…
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*}…
Non-absolute integrable function spaces on metric measure spaces
Parthapratim Saha Bipan Hazarika, Hemanta Kalita
Kuelbs-Steadman spaces are introduced in this article on a separable metric space with finite diameter and finite positive Borel measure. Kuelbs-Steadman spaces of the Lipschitz ty…
Variable Lebesgue algebra on a Locally Compact group
Parthapratim Saha, Bipan Hazarika
For a locally compact group with a left Haar measure, we study variable Lebesgue algebra with respect to a convolution. We show that if $\mathcal{L}…
On Geometric properties of Henstock-Orlicz spaces
Hemanta Kalita, Salvador Sánchez Perales, Bipan Hazarika
In this paper we extend the theory of Henstock-Orlicz spaces with respect to vector measure. We study the integral representation of operators. Lastly we study Uniformly convexity,…
Impulsive Fractional Dynamic Equation with Non-local Initial Condition on Time Scales
Bikash Gogoi, Bipan Hazarika, Utpal Kumar Saha
In this manuscript we investigate the existence and uniqueness of an impulsive fractional dynamic equation on time scales involving non-local initial condition with help of Caputo…
A convergence theorem for Henstock-Kurzweil integral and its relation to topology
Hemanta Kalita, Bipan Hazarika
In this {\color{red}{paper}} we discuss about the Henstock-Kurzweil integrable functions on a topological vector spaces. Basic results of Henstock-Kurzweil integrable fun…
Modular convergence in -Orlicz spaces of Banach valued functions
Hemanta Kalita, Bipan Hazarika
In this article we develop the theory of -Orlicz space generated by generalised Young function. Modular convergence of -Orlicz space for the case of vector-valued functions a…
Weak Henstock-Orlicz space and inclusion properties
Hemanta Kalita, Bipan Hazarika
In this paper we discuss the structure of Henstock-Orlicz space with locally Henstock integrable functions. The weak Henstock-Orlicz spaces on and some basic propert…
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…
On the Domain of Four-Dimensional Forward Difference Matrix in Some Double Sequence Spaces
Orhan Tug, Eberhard Malkowsky, Vladimir Rakocevic +1
In this paper, we introduce some new double sequence spaces and , where as the domains of the four-dime…
Kluvánek-Lewis-Henstock integral in a Banach space
Hemanta Kalita, Bipan Hazarika
We investigate some properties and convergence theorem of Kluvánek-Lewis-Henstock $\m-$integrability for $\m-$measurable functions that we introduced in \cite{ABH}. We give a $\m-$…
Zachary spaces and separable Banach spaces
Hemanata Kalita, Bipan Hazarika, Mohsen Rabbani
We construct Zachary space in and find that this is a Banach space of functions of bounded mean oscillation with order containing the function…
Kuelbs-Steadman spaces for Banach space-valued measures
Antonio Boccuto, Bipan Hazarika, Hemanta Kalita
We introduce Kuelbs-Steadman-type spaces for real-valued functions, with respect to countably additive measures, taking values in Banach spaces. We investigate their main propertie…
HK-Sobolev space on and Bessel Potential
Bipan Hazarika, Hemanta Kalita
Our goal in this article is to construct HK-Sobolev spaces on which contains Sobolev spaces as dense embedding. We discuss that the sequence of weak solution of Sobolev…
Kuelbs-Steadman spaces on Separable Banach spaces
Hemanta Kalita, Bipan Hazarika, Timothy Myers
The purpose of this paper is to construct a new class of separable Banach spaces $\K^p[\mathbb{B}], \; 1\leq p \leq \infty$. Each of these spaces contain the $ \mcL^p[\mathbb{B}] $…
Approach to the construction of the spaces for
Hemanta Kalita, Bipan Hazarika
The objective of this paper is to construct separable Banach spaces for , each of which contains the spac…
Countable additivity of Henstock-Dunford Integral and Orlicz Space
Hemanta Kalita, Bipan Hazarika
Given a real Banach space and probability space we characterize the countable additivity of Henstock-Dunford integral for Henstock integrable function tak…
Henstock-Orlicz space and its dense space
Bipan Hazarika, Hemanta Kalita
The motivation of the article is to introduce Henstock-Orlicz space with non-absolute integrable functions. We prove is dense in the Henstock-Orlicz space, which…
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…
Some Fibonacci sequence spaces of non-absolute type derived from with and Hausdorff measure of non-compactness of composition operators
Anupam Das, Bipan Hazarika, Feyzi Başar
The aim of the paper is to introduce the spaces and derived by the composition of the two infinite matrices an…