Pub Date : 2021-01-28DOI: 10.18311/JIMS/2021/26631
G. Agarwal, S. Joshi, K. Nisar
The present investigation aims to extract a solution from the generalized fractional kinetic equations involving the generalized q-Bessel function by applying the Laplace transform. Methodology and results can be adopted and extended to a variety of related fractional problems in mathematical physics.
{"title":"Application of q-Bessel Functions in the Solution of Generalized Fractional Kinetic Equations","authors":"G. Agarwal, S. Joshi, K. Nisar","doi":"10.18311/JIMS/2021/26631","DOIUrl":"https://doi.org/10.18311/JIMS/2021/26631","url":null,"abstract":"The present investigation aims to extract a solution from the generalized fractional kinetic equations involving the generalized q-Bessel function by applying the Laplace transform. Methodology and results can be adopted and extended to a variety of related fractional problems in mathematical physics.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"88 1","pages":"01-07"},"PeriodicalIF":0.0,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46378736","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-28DOI: 10.18311/JIMS/2021/26055
R. S. Dyavanal, Jyoti B. Muttagi
In this paper, by using Nevanlinna theory we investigate cer- tain types of higher order q-di erence polynomials and prove the results on value distribution and uniqueness.
{"title":"Value Distribution and Uniqueness of Certain Higher Order q-difference Polynomials","authors":"R. S. Dyavanal, Jyoti B. Muttagi","doi":"10.18311/JIMS/2021/26055","DOIUrl":"https://doi.org/10.18311/JIMS/2021/26055","url":null,"abstract":"In this paper, by using Nevanlinna theory we investigate cer- tain types of higher order q-di erence polynomials and prove the results on value distribution and uniqueness.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"88 1","pages":"72"},"PeriodicalIF":0.0,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47409317","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-28DOI: 10.18311/JIMS/2021/26057
N. R. Babu, T. V. P. Kumar, P. Rao
A partial semiring is a structure possessing an infinitary partial addition and a binary multiplication, subject to a set of axioms. The partial functions under disjoint-domain sums and functional compo- sition is a partial semiring. In this paper we obtain the characteristics of 2-absorbing primary subsemimodules and weakly 2-absorbing primary subsemimodules in partial semirings.
{"title":"2-Absorbing Primary Subsemimodules Over Partial Semirings","authors":"N. R. Babu, T. V. P. Kumar, P. Rao","doi":"10.18311/JIMS/2021/26057","DOIUrl":"https://doi.org/10.18311/JIMS/2021/26057","url":null,"abstract":"A partial semiring is a structure possessing an infinitary partial addition and a binary multiplication, subject to a set of axioms. The partial functions under disjoint-domain sums and functional compo- sition is a partial semiring. In this paper we obtain the characteristics of 2-absorbing primary subsemimodules and weakly 2-absorbing primary subsemimodules in partial semirings.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"88 1","pages":"23"},"PeriodicalIF":0.0,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48094792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-28DOI: 10.18311/JIMS/2021/26056
H. Nachid, F. K. N'Gohisse, N’guessan Koffi
We study the quenching behavior of the solution of a semi- linear reaction-diffusion system with nonlinear boundary conditions. We prove that the solution quenches in finite time and its quenching time goes to the one of the solution of the differential system. We also obtain lower and upper bounds for quenching time of the solution.
{"title":"The Phenomenon of Quenching for a Reaction-Diffusion System with Non-Linear Boundary Conditions","authors":"H. Nachid, F. K. N'Gohisse, N’guessan Koffi","doi":"10.18311/JIMS/2021/26056","DOIUrl":"https://doi.org/10.18311/JIMS/2021/26056","url":null,"abstract":"We study the quenching behavior of the solution of a semi- linear reaction-diffusion system with nonlinear boundary conditions. We prove that the solution quenches in finite time and its quenching time goes to the one of the solution of the differential system. We also obtain lower and upper bounds for quenching time of the solution.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"88 1","pages":"155-175"},"PeriodicalIF":0.0,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44495421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-28DOI: 10.18311/JIMS/2021/26084
S. Sonker, Paramjeet Sangwan
Our paper deals with the approximation of signals by H 1 .E θ .E θ product means of Fourier and its conjugate series. New theorems based on H 1 .E θ .E θ product summability have been established and proved under general conditions. The established theorems extend, generalize and improve various existing results on summability of Fourier series and its conjugate series.
本文讨论了用傅里叶及其共轭级数的H . e . e θ乘积均值逼近信号的问题。在一般条件下，建立并证明了基于H 1、e θ、e θ乘积可和性的新定理。所建立的定理扩展、推广和改进了关于傅里叶级数及其共轭级数可和性的各种已有结果。
{"title":"Approximation of Signals by Harmonic-Euler Triple Product Means","authors":"S. Sonker, Paramjeet Sangwan","doi":"10.18311/JIMS/2021/26084","DOIUrl":"https://doi.org/10.18311/JIMS/2021/26084","url":null,"abstract":"Our paper deals with the approximation of signals by H 1 .E θ .E θ product means of Fourier and its conjugate series. New theorems based on H 1 .E θ .E θ product summability have been established and proved under general conditions. The established theorems extend, generalize and improve various existing results on summability of Fourier series and its conjugate series.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"88 1","pages":"176-186"},"PeriodicalIF":0.0,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41397996","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-28DOI: 10.18311/JIMS/2021/26630
M. Bhardwaj, B. Tyagi, Sumit Singh
In this paper, a class of star-Hurewicz modulo an ideal spaces is introduced and studied. For an ideal K of finite subsets of N, a characterization of weakly star- K -Hurewicz extremally disconnected spaces is given using ideal. It is shown that star-Hurewicz modulo an ideal property is hereditary under clopen subspaces. In this manner we obtained relationships of star-Hurewicz modulo an ideal property with other existing Hurewicz properties in literature.
{"title":"Star-Hurewicz Modulo an Ideal Property In Topological Spaces","authors":"M. Bhardwaj, B. Tyagi, Sumit Singh","doi":"10.18311/JIMS/2021/26630","DOIUrl":"https://doi.org/10.18311/JIMS/2021/26630","url":null,"abstract":"In this paper, a class of star-Hurewicz modulo an ideal spaces is introduced and studied. For an ideal K of finite subsets of N, a characterization of weakly star- K -Hurewicz extremally disconnected spaces is given using ideal. It is shown that star-Hurewicz modulo an ideal property is hereditary under clopen subspaces. In this manner we obtained relationships of star-Hurewicz modulo an ideal property with other existing Hurewicz properties in literature.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"88 1","pages":"33-45"},"PeriodicalIF":0.0,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46841109","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-28DOI: 10.18311/JIMS/2021/26085
J. Dubey, P. Pandey, S. K. Upadhyay
Characterizations of product of generalized pseudo-differential operators associated with symbol σ(x,ξ) ∈ S m are discussed by exploiting the fractional Fourier transform.
利用分数阶傅里叶变换讨论了符号σ(x，ξ)∈S m的广义伪微分算子的积的刻画。
{"title":"Characterization of Product of Pseudo-Differential Operators Involving Fractional Fourier Transform","authors":"J. Dubey, P. Pandey, S. K. Upadhyay","doi":"10.18311/JIMS/2021/26085","DOIUrl":"https://doi.org/10.18311/JIMS/2021/26085","url":null,"abstract":"Characterizations of product of generalized pseudo-differential operators associated with symbol σ(x,ξ) ∈ S m are discussed by exploiting the fractional Fourier transform.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"88 1","pages":"60-71"},"PeriodicalIF":0.0,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42383841","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-28DOI: 10.18311/JIMS/2021/26517
R. Madhusudhan, A. Nargund, S. Sathyanarayana
We analyse the effect of applied magnetic field on the flow of compressible fluid with an adverse pressure gradient. The governing partial differential equations are solved analytically by Homotopy analysis method (HAM) and numerically by finite difference method. A detailed analysis is carried out for different values of the magnetic parameter, where suction/ injection is imposed at the wall. It is also observed that flow separation is seen in boundary layer region for large injection. HAM is a series solution which consists of a convergence parameter h which is estimated numerically by plotting h curve. Singularities of the solution are identified by Pade approximation.
{"title":"The Effect of Magnetic Field on Compressible Boundary Layer by Homotopy Analysis Method","authors":"R. Madhusudhan, A. Nargund, S. Sathyanarayana","doi":"10.18311/JIMS/2021/26517","DOIUrl":"https://doi.org/10.18311/JIMS/2021/26517","url":null,"abstract":"We analyse the effect of applied magnetic field on the flow of compressible fluid with an adverse pressure gradient. The governing partial differential equations are solved analytically by Homotopy analysis method (HAM) and numerically by finite difference method. A detailed analysis is carried out for different values of the magnetic parameter, where suction/ injection is imposed at the wall. It is also observed that flow separation is seen in boundary layer region for large injection. HAM is a series solution which consists of a convergence parameter h which is estimated numerically by plotting h curve. Singularities of the solution are identified by Pade approximation.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"88 1","pages":"125-145"},"PeriodicalIF":0.0,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42636908","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-28DOI: 10.18311/JIMS/2021/24983
Jervin Zen Lobo, Y. S. Valaulikar
In this paper, we discuss group analysis of rst-order delay partial di erential equations and use it to obtain symmetries of the Invis- cid Burgers' equation with delay, its kernel and extensions of the kernel. We obtain a Lie type invariance condition for rst-order delay partial di erential equations by using Taylor's theorem for a function of several variables. We obtain the symmetries admitted by this delay partial di er- ential equation. Further, we obtain representations of analytic solutions and the reduced equations from the symmetries.
{"title":"Lie Group Analysis of the Time-delayed Inviscid Burgers' Equation","authors":"Jervin Zen Lobo, Y. S. Valaulikar","doi":"10.18311/JIMS/2021/24983","DOIUrl":"https://doi.org/10.18311/JIMS/2021/24983","url":null,"abstract":"In this paper, we discuss group analysis of rst-order delay partial di erential equations and use it to obtain symmetries of the Invis- cid Burgers' equation with delay, its kernel and extensions of the kernel. We obtain a Lie type invariance condition for rst-order delay partial di erential equations by using Taylor's theorem for a function of several variables. We obtain the symmetries admitted by this delay partial di er- ential equation. Further, we obtain representations of analytic solutions and the reduced equations from the symmetries.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"88 1","pages":"105"},"PeriodicalIF":0.0,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46710516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-01-28DOI: 10.18311/JIMS/2021/26054
S. Manro, S. Chandok
The aim of this note is to point out some mistakes in some recent xed point results using property (E.A.). Also, we rectify these mistakes and improve the results.
{"title":"A Critical Remark - Some Fixed Point Results Using Property (E.A.)","authors":"S. Manro, S. Chandok","doi":"10.18311/JIMS/2021/26054","DOIUrl":"https://doi.org/10.18311/JIMS/2021/26054","url":null,"abstract":"The aim of this note is to point out some mistakes in some recent xed point results using property (E.A.). Also, we rectify these mistakes and improve the results.","PeriodicalId":38246,"journal":{"name":"Journal of the Indian Mathematical Society","volume":"88 1","pages":"146-154"},"PeriodicalIF":0.0,"publicationDate":"2021-01-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48909124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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