Papers by Dr. Manjeet Jakhar
Journal of Scientific Research, Sep 1, 2021
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International Journal of Mathematical Archive EISSN 2229-5046, Jan 20, 2018
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Journal of Scientific Research, 2021
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Jnanabha, 2021
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Journal of Interdisciplinary Mathematics
Abstract In the present scenario, the whole world struggling with Corona Virus Disease (COVID-19)... more Abstract In the present scenario, the whole world struggling with Corona Virus Disease (COVID-19) which is a extremely transmittable disease stimulate by the novel corona virus (2019-nCoV) that believed to be originated in Wuhan, central China. Here, a mathematical analysis of 2019-nCoV mathematical model is considered with Caputo fractional order derivative operator. This model is made up of six subclasses i.e. susceptible people, exposed people, infected people, asymptotically infected people, recovered people and reservoir people. Authors obtained the series solutions of each subclasses of the proposed mathematical model via Sumudu Transform Homotopy Perturbation Method (STHPM). The results that have come are correct to show these authors have provided graphical interpretations.
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The idea of subset graph of a near-ring is presented in this section. This part comprises of thre... more The idea of subset graph of a near-ring is presented in this section. This part comprises of three sections. The principal area manages the fundamental definitions required for the ensuing sections and the second area contains the primary outcomes. In the third area we talk about some initiated sub-graphs of the subset graph of a near-ring. All through this part indicates a zero symmetric right abelian near-ring except if generally expressed. The study on graphs from algebraic structures is an interesting subject for mathematicians since the notion of Cayley graphs from groups. In recent years, many algebraist as well as graph theorists have focused on the zero-divisor graph of rings.
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In this paper we examine classical rings and furthermore consider different kinds of speculations... more In this paper we examine classical rings and furthermore consider different kinds of speculations of injectivity. We realize that over a field or all the more by and large over a division ring R every homological property like injectivity, projectivity and semi simplicity hold useful for each module over R. We call a nonzero element of a ring R consistent if is neither a left nor a correct zero divisor in R. Unmistakably in a ring with character each invertible element is customary, however not on the other hand. On the off chance that R is a fundamental domain then every nonzero element is normal and in a division ring each nonzero element is invertible. So if R is an indispensable domain in which each general element is invertible then it is a division ring and thus all the homological properties hold great in R. Yet, on the off chance that the condition "fundamental domain" in the above explanation is erased we don't have single homological property other than the ...
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Whole of the physics and engineering depends upon differential equations, their laws dominate ele... more Whole of the physics and engineering depends upon differential equations, their laws dominate electronics, mechanical and civil engineering. Independent use of differential equations makes it perfect tool for the use of applied mathematics. Here we are discussing some aspects of the differential equations their definitions, types of solutions, their applications and uses.
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To reveal some fundamental facts at the interaction among mathematics and the modern real world, ... more To reveal some fundamental facts at the interaction among mathematics and the modern real world, putting in verification mathematical entities like “nonlinear generalized functions” that are required to model the modern era. In this present paper, some artefacts of distributions are illustrated. The repercussions are derived in Colombeau theory of nonlinear generalized functions, which is the quite pertinent algebraic construction for dealing with Schwartz distributions. Colombeau theory of nonlinear generalized function ₢(R) contains the space ₷(R) of Schwartz distributions as a subspace, and has a notion of mathematical ‘association’ that permits us to assess the outcomes in terms of distributions.
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International Journal of Applied and Computational Mathematics, 2021
In the present article we analyzed the concentration of cytosolic calcium ion $$ \left( {{\text{C... more In the present article we analyzed the concentration of cytosolic calcium ion $$ \left( {{\text{Ca}}^{2 + } } \right) $$ Ca 2 + via fractional calculus. Here considered a mathematical model in which fractional advection–diffusion equation is uprise. The analytic solution of fractional advection–diffusion equation has been obtained by using Elzaki transform for analysis of concentration of $$ {\text{Ca}}^{2 + } $$ Ca 2 + which is obtained in diffusion process in astrocytes cell. Numerical simulations are carried out for illustrating the obtained result.
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Malaya Journal of Matematik, 2020
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Advances in Fuzzy Sets and Systems, 2017
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I n this paper, we introduce a computational algorithm for solving partial differential equations... more I n this paper, we introduce a computational algorithm for solving partial differential equations such as Heat Equation, Wave Equation, Laplace Equation and Telegrapher’s Equation etc. by using the modified versions of Laplace and Sumudu transforms which is called Elzaki transform. The Elzaki transform, whose fundamental properties are presented in this paper. Illustrative examples are presented to illustrate the effectiveness of its applicability .
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The main goal of this paper is to count subgroups which are isomorphic to cyclic p-group, interna... more The main goal of this paper is to count subgroups which are isomorphic to cyclic p-group, internal direct product of two cyclic p-group or semi direct product of two cyclic p-group of the non-Abelian p-group Zpn o Zp, n ≥ 2 where p may be even or odd prime, by using simple-theoretical approach. AMS Subject Classification: Primary 20D60; Secondary 20D15
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Annals of Pure and Applied Mathematics, 2017
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In this paper, we give formula for the number of fuzzy subgroups of the group Zpm × Zpn × Zpr whe... more In this paper, we give formula for the number of fuzzy subgroups of the group Zpm × Zpn × Zpr where p is a prime and m, n, r ∈ Z + ∪ {0}. This is achieved by using the maximal chains of subgroups and the recurrence relation technique already used by authors in their research papers on the number of fuzzy subgroups of Abelian p-group of rank two, number of fuzzy subgroups of Abelian group of rank two and Dihedral group. Mathematics Subject Classification: Primary 20N25; 03E72; Secondary 20K01; 20K27
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Papers by Dr. Manjeet Jakhar