Jagdev Singh
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View article: Synthesis, characterization, and performance evaluation of Al2O3 nanoparticles in HFE7000 refrigerant for domestic refrigeration
Synthesis, characterization, and performance evaluation of Al2O3 nanoparticles in HFE7000 refrigerant for domestic refrigeration Open
Nanorefrigerants, which consist of base refrigerant enhanced with nanoscale particles, represent a promising advancement in thermal management systems. This study reports the successful synthesis, characterization, and experimental evaluat…
View article: On the solutions of generalized Cauchy differential equations and diffusion equations with k-Hilfer-Prabhakar derivative
On the solutions of generalized Cauchy differential equations and diffusion equations with k-Hilfer-Prabhakar derivative Open
In this article, natural transform of k-Prabhakar integral, k-Prabhakar derivative, k-Hilfer-Prabhakar fractional derivative (k-HPFD) are calculated. In addition, we also obtain the natural transform of regularized versions of k-Prabhakar …
View article: Heavy metal contamination in wastewater-irrigated vegetables: assessing food safety challenges in developing Asian countries
Heavy metal contamination in wastewater-irrigated vegetables: assessing food safety challenges in developing Asian countries Open
This review analyses data on heavy metal contamination in wastewater-irrigated vegetables across four developing Asian countries, highlighting metal accumulation patterns, health impacts, regulatory gaps and calls for urgent coordinated ac…
View article: Artificial Neural Network Treatment for Fractional Exothermic Reaction Model
Artificial Neural Network Treatment for Fractional Exothermic Reaction Model Open
View article: Fractional Calculus Approach for Variational Problems: Characterization of Sufficient Optimality Conditions and Duality
Fractional Calculus Approach for Variational Problems: Characterization of Sufficient Optimality Conditions and Duality Open
In this paper, we present a Wolfe-type dual model containing the Caputo-Fabrizio fractional derivative, weak and strong duality results, number of Kuhn-Tucker type sufficient optimality conditions and duality results for variational proble…
View article: On Efficient Method For Fractional-Order Two-Dimensional Navier-Stokes Equations
On Efficient Method For Fractional-Order Two-Dimensional Navier-Stokes Equations Open
For the solution of fractional-order two-dimensional Navier-Stokes equations (FOTDNSEs), the current work proposes a novel variant of the Laplace Adomian decomposition approach with the Atangana-Baleanu fractional operator in the Caputo se…
View article: Water volumes and mulches affect plant growth, leaf nutrient status and orchard soil mineral content of sweet orange cv. Mosambi
Water volumes and mulches affect plant growth, leaf nutrient status and orchard soil mineral content of sweet orange cv. Mosambi Open
View article: A mathematical theoretical study of Atangana-Baleanu fractional Burgers’ equations
A mathematical theoretical study of Atangana-Baleanu fractional Burgers’ equations Open
In this paper, the Burgers’ equations using the fractional derivative of Atangana-Baleanu sense are investigated and discussed. A Laplace variational iteration approach is used to demonstrate the fractional model's mathematical solution. T…
View article: Numerical computation of fractional Bloch equation by using Jacobi operational matrix
Numerical computation of fractional Bloch equation by using Jacobi operational matrix Open
In this work, we present a numerical scheme based on the operational matrix of fractional Caputo-Fabrizio (CF) integration for handling fractional Bloch equation (FBE) in nuclear magnetic resonance (NMR). The understanding of Bloch equatio…
View article: Equator to Pole Solar Chromospheric Differential Rotation using Ca-K Features Derived from Kodaikanal Data
Equator to Pole Solar Chromospheric Differential Rotation using Ca-K Features Derived from Kodaikanal Data Open
Differential rotation is one of the basic characteristics of the Sun, and it plays an important role in generating the magnetic fields and its activities. We investigated rotation rate using chromospheric features such as plages, enhanced …
View article: An Efficient Numerical Scheme for Fractional Order Mathematical Model of Cytosolic Calcium Ion in Astrocytes
An Efficient Numerical Scheme for Fractional Order Mathematical Model of Cytosolic Calcium Ion in Astrocytes Open
The major aim of this article is to obtain the numerical solution of a fractional mathematical model with a nonsingular kernel for thrombin receptor activation in calcium signals using two numerical schemes based on the collocation techniq…
View article: Dynamical analysis of fractional order biological population model with carrying capacity under Caputo-Katugampola memory
Dynamical analysis of fractional order biological population model with carrying capacity under Caputo-Katugampola memory Open
This article gives insight on a biological population model (BPM) of arbitrary order with carrying capacity. The solution of the studied model obtained via employing q-homotopy analysis generalized transforms method (q-HAGTM) and generaliz…
View article: Pointwise numerical simulation of one-dimensional fractional sine-Gordon model in time-dependent variable using reproducing kernel Hilbert algorithm
Pointwise numerical simulation of one-dimensional fractional sine-Gordon model in time-dependent variable using reproducing kernel Hilbert algorithm Open
In this study, the fractional sine-Gordon model in the time-dependent variable domain using Caputo non-integer order basis derivative is presented. The main purpose is to utilize the adaptation of reproducing kernel Hilbert algorithm to co…
View article: A reliable numerical algorithm for fractional Lienard equation arising in oscillating circuits
A reliable numerical algorithm for fractional Lienard equation arising in oscillating circuits Open
This work presents a numerical approach for handling a fractional Lienard equation (FLE) arising in an oscillating circuit. The scheme is based on the Vieta Lucas operational matrix of the fractional Liouville-Caputo derivative and the col…
View article: A reliable numerical algorithm based on an operational matrix method for treatment of a fractional order computer virus model
A reliable numerical algorithm based on an operational matrix method for treatment of a fractional order computer virus model Open
A computer network can detect potential viruses through the use of kill signals, thereby minimizing the risk of virus propagation. In the realm of computer security and defensive strategies, computer viruses play a significant role. Unders…
View article: Fractional dynamics and computational analysis of food chain model with disease in intermediate predator
Fractional dynamics and computational analysis of food chain model with disease in intermediate predator Open
In this paper, a fractional food chain system consisting of a Holling type Ⅱ functional response was studied in view of a fractional derivative operator. The considered fractional derivative operator provided nonsingular as well as a nonl…
View article: A RELIABLE NUMERICAL ALGORITHM FOR TREATMENT OF FRACTIONAL MODEL OF CONVECTIVE STRAIGHT FINS WITH TEMPERATURE DEPENDENT THERMAL CONDUCTIVITY
A RELIABLE NUMERICAL ALGORITHM FOR TREATMENT OF FRACTIONAL MODEL OF CONVECTIVE STRAIGHT FINS WITH TEMPERATURE DEPENDENT THERMAL CONDUCTIVITY Open
Fins serve the purpose of enhancing heat transfer between their surroundings and the underlying surface, resembling the function of heat exchangers in various scientific domains. This research undertakes an investigation into the temperatu…
View article: A new forecasting behavior of fractional model of atmospheric dynamics of carbon dioxide gas
A new forecasting behavior of fractional model of atmospheric dynamics of carbon dioxide gas Open
This paper gives insight on the nonlinear mathematical model of fractional order, which defines the dynamic variation of carbon dioxide gas (CO2) concentration in the atmosphere X(t) and examines its solution by applying an efficient techn…
View article: Simulating accurate and effective solutions of some nonlinear nonlocal two-point BVPs: Clique and QLM-clique matrix methods
Simulating accurate and effective solutions of some nonlinear nonlocal two-point BVPs: Clique and QLM-clique matrix methods Open
This research work deals with two spectral matrix collocation algorithms based on (novel) clique functions to solve two classes of nonlinear nonlocal elliptic two-points boundary value problems (BVPs) arising in diverse physical models. Th…
View article: Impact of Controlling Treatment on African Marigold (Tagetus erecta L.) with Special Reference to Economic Parameters
Impact of Controlling Treatment on African Marigold (Tagetus erecta L.) with Special Reference to Economic Parameters Open
The present investigation “Impact of controlling treatment on African marigold (Tagetus erecta L.) with special reference to Economic parameters” was carried out at the Department of Horticulture, Gochar Mahavidhyalaya, Rampur Maniharan, S…
View article: Analysis of Cauchy Problems and Diffusion Equations Associated with the Hilfer–Prabhakar Fractional Derivative via Kharrat–Toma Transform
Analysis of Cauchy Problems and Diffusion Equations Associated with the Hilfer–Prabhakar Fractional Derivative via Kharrat–Toma Transform Open
In this paper, the Kharrat–Toma transforms of the Prabhakar integral, a Hilfer–Prabhakar (HP) fractional derivative, and the regularized version of the HP fractional derivative are derived. Moreover, we also compute the solution of some Ca…
View article: Multi-Objective linear fractional solid transportation problem with uncertain variables
Multi-Objective linear fractional solid transportation problem with uncertain variables Open
In this paper, the multi-objective linear fractional solid transportation problem (MOLFSTP) under uncertainty is studied, where all parameters are treated as zigzag uncertain variables. For the uncertain MOLFSTP model, the expected value m…
View article: Computational Analysis of the Fractional Riccati Differential Equation with Prabhakar-type Memory
Computational Analysis of the Fractional Riccati Differential Equation with Prabhakar-type Memory Open
The key objective of the current work is to examine the behavior of the nonlinear fractional Riccati differential equation associated with the Caputo–Prabhakar derivative. An efficient computational scheme, that is, a mixture of homotopy a…
View article: Variation of small scale magnetic fields over a century using Ca-K images as proxy
Variation of small scale magnetic fields over a century using Ca-K images as proxy Open
A combined uniform and long-time series of Ca-K images from the Kodaikanal Observatory (KO), Mount Wilson Observatory (MWO), and Mauna Loa Solar Observatory (MLSO) were used to identify and study the Ca-K small-scale features and their sol…
View article: MHD flow and heat and mass transport investigation over a decelerating disk with ohmic heating and diffusive effect
MHD flow and heat and mass transport investigation over a decelerating disk with ohmic heating and diffusive effect Open
The motive of this study is to investigate the spinning fluid-flow due to revolving disk for the magnetic unsteady Brownian motion of viscous nanofluid. Here the disk is assumed to have an inverse linear angular velocity. In this paper mas…
View article: Analysis of the impact of thermal radiation and velocity slip on the melting of magnetic hydrodynamic micropolar fluid-flow over an exponentially stretching sheet
Analysis of the impact of thermal radiation and velocity slip on the melting of magnetic hydrodynamic micropolar fluid-flow over an exponentially stretching sheet Open
The belongings of radiation and velocity slip on MHD stream and melting warmth transmission of a micropolar liquid over an exponentially stretched sheet which is fixed in a porous medium with heat source/sink are accessible. Homothety tran…
View article: Heat and mass transport of hydromagnetic Williamson nanofluid passing through a permeable media across an extended sheet of varying thickness
Heat and mass transport of hydromagnetic Williamson nanofluid passing through a permeable media across an extended sheet of varying thickness Open
The primary goal of this work is to determine heat and mass transfer through fluid-flows sheets dealing mathematical modelling for stagnant and varying thick?ness, considering magnetic fields, permeability, heat source/sink, radiation, Jou…
View article: Temporal and latitudinal variations of Ca-K plage and network area: An implication to meridional flows
Temporal and latitudinal variations of Ca-K plage and network area: An implication to meridional flows Open
The Ca-K spectroheliograms obtained at the Kodaikanal observatory (KO) are used to generate a uniform time series using the equal contrast technique (ECT) to study the long and short-term variation in the solar chromosphere. The percentage…
View article: An efficient hybridization scheme for time-fractional Cauchy equations with convergence analysis
An efficient hybridization scheme for time-fractional Cauchy equations with convergence analysis Open
In this paper, a time-fractional Cauchy equation (TFCE) is analyzed by using the q-homotopy analysis Shehu transform algorithm (q-HASTA) with convergence analysis. The q-HASTA comprises with the reduced differential transform algorithm (RD…
View article: Computational Analysis of Fractional Diffusion Equations Occurring in Oil Pollution
Computational Analysis of Fractional Diffusion Equations Occurring in Oil Pollution Open
The fractional model of diffusion equations is very important in the study of oil pollution in the water. The key objective of this article is to analyze a fractional modification of diffusion equations occurring in oil pollution associate…