{"title":"A NEW IMPROVED RUNGE-KUTTA FORMULA FOR DIRECTLY SOLVING $z''(t)=g(t,z,z')$","authors":"Kasim Hussain, F. Ismail","doi":"10.12732/IJAM.V33I1.3","DOIUrl":"https://doi.org/10.12732/IJAM.V33I1.3","url":null,"abstract":"This paper deals with the derivation of an explicit two-stage thirdorder Improved Runge-Kutta Nyström (IRKNG) method for directly solving general second order ordinary differential equations (ODE). This method is twostep and the number of functions to be evaluated per step is less via comparsion to the existing RK methods. Numerical outcomes are offered to show the validity and competency of the newly IRKNG method as comparison with the general RKN and RK techniques. AMS Subject Classification: 65L05, 65l06","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"171 1","pages":"27"},"PeriodicalIF":0.0,"publicationDate":"2020-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73352388","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}
Bin Yang, Muhammad Aamer Rashid, Sarfraz Ahmad, M. Nadeem, M. K. Siddiqui
{"title":"CYCLE SUPER MAGIC LABELING OF PLANAR GRAPHS","authors":"Bin Yang, Muhammad Aamer Rashid, Sarfraz Ahmad, M. Nadeem, M. K. Siddiqui","doi":"10.12732/ijam.v32i6.4","DOIUrl":"https://doi.org/10.12732/ijam.v32i6.4","url":null,"abstract":"","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"21 1","pages":"945"},"PeriodicalIF":0.0,"publicationDate":"2020-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80026136","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}
{"title":"ON HYPER ZAGREB INDEX OF CERTAIN GENERALIZED GRAPH STRUCTURES","authors":"Zhen Wang, Natarajan Chidambaram, S. Balachandran","doi":"10.12732/ijam.v32i6.8","DOIUrl":"https://doi.org/10.12732/ijam.v32i6.8","url":null,"abstract":"Zhen Wang1, Natarajan Chidambaram2 § Selvaraj Balachandran3 1School of Computer Engineering Anhui Wenda University of Information Engineering Hefei 230032, CHINA 2 Department of Mathematics Srinivasa Ramanujan Centre SASTRA Deemed University Kumbakonam 612 001, INDIA 3Department of Mathematics, School of Arts Sciences and Humanities, SASTRA Deemed to be University Thanjavur 613 401, Tamilnadu, INDIA","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"27 1","pages":"999"},"PeriodicalIF":0.0,"publicationDate":"2020-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73978489","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}
{"title":"FUNCTIONAL ORDER DERIVATIVES AND THE $J^{alpha_m}$ OPERATOR","authors":"R. H. France III, S. Careccia","doi":"10.12732/ijam.v32i5.9","DOIUrl":"https://doi.org/10.12732/ijam.v32i5.9","url":null,"abstract":"","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"26 1","pages":"829"},"PeriodicalIF":0.0,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87928705","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}
{"title":"A VARIATIONAL APPROACH TO IMPULSIVE STURM-LIOUVILLE DIFFERENTIAL EQUATIONS WITH NONLINEAR DERIVATIVE DEPENDENCE","authors":"Z. Mehraban, S. Heidarkhani, S. Tersian","doi":"10.12732/ijam.v32i5.8","DOIUrl":"https://doi.org/10.12732/ijam.v32i5.8","url":null,"abstract":"We study the existence and multiplicity of solutions for a class of impulsive Sturm-Liouville differential equations with nonlinear derivative dependence. By applying a critical point theory, we give some criteria to guarantee that our impulsive problem has at least three solutions under rather different assumptions and an exact interval of parameter λ. AMS Subject Classification: 34B15, 34B18, 34B24, 34B37, 58E30","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"27 1","pages":"805"},"PeriodicalIF":0.0,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83282730","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}
{"title":"SOME RESULTS ON UNIVALENT HOLOMORPHIC FUNCTIONS BASED ON $q$-ANALOGUE OF NOOR OPERATOR","authors":"S. Najafzadeh","doi":"10.12732/ijam.v32i5.5","DOIUrl":"https://doi.org/10.12732/ijam.v32i5.5","url":null,"abstract":"","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"88 1","pages":"775"},"PeriodicalIF":0.0,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78314750","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}
{"title":"GENERALIZED CANAVATI TYPE $g$-FRACTIONAL POLYA TYPE INEQUALITIES","authors":"G. Anastassiou","doi":"10.12732/ijam.v32i5.12","DOIUrl":"https://doi.org/10.12732/ijam.v32i5.12","url":null,"abstract":"","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"147 1","pages":"857"},"PeriodicalIF":0.0,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82932700","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}
{"title":"STABILITY ANALYSIS OF A DELAYED FRACTIONAL ORDER SIRS EPIDEMIC MODEL WITH NONLINEAR INCIDENCE RATE","authors":"M. Naim, F. Lahmidi, A. Namir","doi":"10.12732/ijam.v32i5.1","DOIUrl":"https://doi.org/10.12732/ijam.v32i5.1","url":null,"abstract":"In this paper, we study the stability of a fractional order SIRS epidemic model with nonlinear incidence rate and time delay, where the fractional derivative is defined in the Caputo sense. The delay is introduced into the model in order to modeled the incubation period. Using the stability analysis of delayed fractional order systems, we prove that the disease-free equilibrium is locally asymptotically stable when the basic reproduction number R0 < 1. Also, we show that if R0 > 1, the endemic equilibrium is locally asymptotically stable. AMS Subject Classification: 34A08, 37C75, 92D30","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"121 1","pages":"733"},"PeriodicalIF":0.0,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89381925","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}
{"title":"THE ESTIMATION OF SOLUTIONS NONDIVERGENT ELLIPTIC-PARABOLIC EQUATIONS","authors":"M. N. Karimova","doi":"10.12732/ijam.v32i5.3","DOIUrl":"https://doi.org/10.12732/ijam.v32i5.3","url":null,"abstract":"The degenerate elliptic-parabolic equations arise as mathematical models of various applied problems of mechanics, for instance in reaction drift diffusion processes of electrically charged species phase transition processes and transport processes in porous media. Investigations of boundary value problems for second order degenerate elliptic-parabolic equations ascend to the work by Keldysh [1], where correct statements for boundary value problems were considered for the case of one space variable as well as existence and uniqueness of solutions. In the work by Fichera [2] boundary value problems were given for multidimentional case. He proved existence of generalized solutions to these boundary value problems. Let Ω be a bounded open set in R and QT = Ω × (0, T ) , T > 0 be a cylinder. We consider the following initial boundary value problem","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"42 1","pages":"759"},"PeriodicalIF":0.0,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90755046","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}
{"title":"MULTIPLICATION OPERATORS IN MEASURABLE SECTIONS SPACES","authors":"M. Pliev","doi":"10.12732/ijam.v32i5.11","DOIUrl":"https://doi.org/10.12732/ijam.v32i5.11","url":null,"abstract":"Abstract: In this article we consider linear operators in measurable section spaces. Let X be a liftable measurable bundle of Banach spaces and E be an order continuous Köthe function space over a finite measure space (A,Σ, μ). We prove that a linear continuous operator T in a measurable sections space E(X ) is a multiplication operator (by a function in L∞(μ)) if and only if the equality T (g〈f, φ〉φ) = g〈T (f), φ〉φ) holds for every g ∈ L∞(μ), f ∈ E(X ), φ ∈ L∞(X ) and φ ⋆ ∈ L∞(X ).","PeriodicalId":14365,"journal":{"name":"International journal of pure and applied mathematics","volume":"43 1","pages":"847"},"PeriodicalIF":0.0,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75139381","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}