Publications (20)
Analysis of Fractal Dimension of Mixed Riemann-Liouville Fractional Integral
Subhash Chandra, Syed Abbas
In this article, we investigate the fractal dimension of the graph of the mixed Riemann-Liouville fractional integral for various choice of continuous functions on a rectangular re…
Age structured SIR model for the spread of infectious diseases through indirect contacts
Manoj Kumar, Syed Abbas
In this article, we discuss an age-structured SIR model in which disease not only spread through direct person to person contacts for e.g. infection due to surface contamination bu…
Cell damage and mitigation in Swiss albino mice: experiment and modelling
Urmimala Dey, Archisman Ghosh, Syed Abbas +2
Chronic exposure to inorganic arsenic is a potential cause of carcinogenesis. It elicits its potential by generation of ROS, leading to DNA, protein and lipid damage. Therefore, th…
Upper Bounds on the Capacity of 2-Layer -Relay Symmetric Gaussian Network
Satyajit Thakor, Syed Abbas
The Gaussian parallel relay network, in which two parallel relays assist a source to convey information to a destination, was introduced by Schein and Gallager. An upper bound on t…
Analysis of steady state solutions to an age structured SEQIR model with optimal vaccination
Manoj Kumar, Syed Abbas
Quarantine of those individuals who are suspected of being infected is one of the intervention measures to contain the spread of an infectious disease. We propose an age structured…
The Calculus Of Bivariate Fractal Interpolation Surfaces
Subhash Chandra, Syed Abbas
In this article, we investigate partial integrals and partial derivatives of bivariate fractal interpolation functions. We prove also that the mixed Riemann-Liouville fractional in…
Approximate controllability and optimal control of impulsive fractional semilinear delay differential equations with non-local conditions
Lakshman Mahto, Syed Abbas
In this paper we study the approximate controllability and existence of optimal control of impulsive fractional semilinear delay differential equations with non-local conditions. W…
Construction of Fractal Functions Using Kannan Mappings and Smoothness Analysis
Subhash Chandra, Saurabh Verma, Syed Abbas
Let T be a self-map on a metric space (X, d). Then T is called the Kannan map if there exists α, 0 < α< 1/2, such that d(T(x), T(y)) <= α[d(x, T(x)) + d(y, T(y))], for all x, y…
BIGBOY1.2: Generating Realistic Synthetic Data for Disease Outbreak Modelling and Analytics
Raunak Narwal, Syed Abbas
Modelling disease outbreak models remains challenging due to incomplete surveillance data, noise, and limited access to standardized datasets. We have created BIGBOY1.2, an open sy…
Optimal Birth Control for a Size-Structured Population Model with Diffusion
Manoj Kumar, Syed Abbas
This work addresses the optimal birth control problem for invasive species in a spatial environment. We apply the method of semigroups to qualitatively analyze a size-structured po…
Existence of asymptotic almost automorphic solutions of fractional integro differential equations with non local conditions
Syed Abbas, Gaston M. N'Guerekata
This paper deals with the existence of asymptotic almost automorphic solution of fractional integro differential equation. We prove the result by using fixed point theorems. We sho…
On Enumerating Distributions for Associated Vectors in the Entropy Space
Sultan Alam, Satyajit Thakor, Syed Abbas
This paper focuses on the problem of finding a distribution for an associated entropic vector in the entropy space nearest to a given, possibly non-entropic, target vector for rand…
On Necessary and Sufficient Conditions for Near-Optimal Singular Stochastic Controls
Mokhtar Hafayed, Syed Abbas, Petr Veverka
This paper is concerned with necessary and sufficient conditions for near-optimal singular stochastic controls for systems driven by a nonlinear stochastic differential equations (…
Qualitative analysis of dynamic equations on time scales
Syed Abbas
In this article, we establish the Picard-Lindelof theorem and approximating results for dynamic equations on time scale. We present a simple proof for the existence and uniqueness…
Set Valued Riemann-Liouville integral and some Regular Selections
Subhash Chandra, Syed Abbas
In this article, we introduce the notion of the Riemann-Liouville fractional integral of set-valued mappings via integrable selections. We establish fundamental properties of this…
Effect of population migration and punctuated lockdown on the spread of infectious diseases
Ravi Kiran, Madhumita Roy, Syed Abbas +1
One of the critical measures to control infectious diseases is a lockdown. Once past the lockdown stage in many parts of the world, the crucial question now concerns the effects of…
Analysis of Caputo impulsive fractional order differential equations with applications
Lakshman Mahto, Syed Abbas, Angelo Favini
We use Sadavoskii's fixed point method to investigate the existence and uniqueness of solutions of Caputo impulsive fractional differential equations of order αbetween 0 and 1 wit…
A general maximum principle for mean-field stochastic differential equations with jump processes
Mokhtar Hafayed, Syed Abbas
In this paper, we investigate the optimal control problems for stochastic differential equations (SDEs in short) of mean-field type with jump processes. The control variable is all…
Immunomodulatory role of black tea in the mitigation of cancer induced by inorganic arsenic
Ravi Kiran, Swati Tyagi, Syed Abbas +2
We present a model analysis of the tumor and normal cell growth under the influence of a carcinogenic agent, an immunomdulator (IM) and variable influx of immune cells including re…
Box Dimension of Mixed Katugampola Fractional Integral of Two-Dimensional Continuous Functions
Subhash Chandra, Syed Abbas
The goal of this article is to study the box dimension of the mixed Katugampola fractional integral of two-dimensional continuous functions on [0; 1]X[0; 1]. We prove that the box…