Pub Date : 2023-01-01DOI: 10.46793/kgjmat2303.339m
SUSMITA MALLICK, KALYAN HANSDA
The purpose of this paper is to characterize an ordered semigroup S in terms of the properties of the associated semigroup B(S) of all bi-ideals of S. We show that an ordered semigroup S is a Clifford ordered semigroup if and only if B(S) is a semilattice. The semigroup B(S) is a normal band if and only if the ordered semigroup S is both regular and intra regular. For each subvariety V of bands, we characterize the ordered semigroup S such that B(S) ∈ V.
{"title":"On the Semigroup of Bi-Ideals of an Ordered Semigroup","authors":"SUSMITA MALLICK, KALYAN HANSDA","doi":"10.46793/kgjmat2303.339m","DOIUrl":"https://doi.org/10.46793/kgjmat2303.339m","url":null,"abstract":"The purpose of this paper is to characterize an ordered semigroup S in terms of the properties of the associated semigroup B(S) of all bi-ideals of S. We show that an ordered semigroup S is a Clifford ordered semigroup if and only if B(S) is a semilattice. The semigroup B(S) is a normal band if and only if the ordered semigroup S is both regular and intra regular. For each subvariety V of bands, we characterize the ordered semigroup S such that B(S) ∈ V.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"108 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135685654","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 : 2023-01-01DOI: 10.46793/kgjmat2301.153a
Necmettin Alp, M. Sarıkaya
In this paper, we present q-Laplace transform by q-integral definition on quantum analogue. We present some properties and obtain formulaes of q-Laplace transform with its aplications.
{"title":"q-Laplace Transform on Quantum Integral","authors":"Necmettin Alp, M. Sarıkaya","doi":"10.46793/kgjmat2301.153a","DOIUrl":"https://doi.org/10.46793/kgjmat2301.153a","url":null,"abstract":"In this paper, we present q-Laplace transform by q-integral definition on quantum analogue. We present some properties and obtain formulaes of q-Laplace transform with its aplications.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44285277","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 : 2023-01-01DOI: 10.46793/kgjmat2301.007k
M. T. Khalladi, M. Kostic, A. Rahmani, D. Velinov
The aim of this work is the introduction of (w,c)-almost periodicity (resp. asymptotic (w,c)-almost periodicity) in distributions spaces. The characterizations and main properties of these distributions are given. We also study the existence of distributional (w,c)-almost periodic solutions of linear differential systems.
{"title":"(ω, c)-Almost Periodic Distributions","authors":"M. T. Khalladi, M. Kostic, A. Rahmani, D. Velinov","doi":"10.46793/kgjmat2301.007k","DOIUrl":"https://doi.org/10.46793/kgjmat2301.007k","url":null,"abstract":"The aim of this work is the introduction of (w,c)-almost periodicity (resp. asymptotic (w,c)-almost periodicity) in distributions spaces. The characterizations and main properties of these distributions are given. We also study the existence of distributional (w,c)-almost periodic solutions of linear differential systems.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46977139","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 : 2023-01-01DOI: 10.46793/kgjmat2305.701j
KAMLESH JANGID, S.D. PUROHIT, RITU AGARWAL, RAVI P. AGARWAL
In the present work, a novel and even more generalized fractional kinetic equation has been formulated in terms of polynomial weighted incomplete H-function, incomplete Fox-Wright function and incomplete generalized hypergeometric function, considering the importance of the fractional kinetic equations arising in the various science and engineering problems. All the derived findings are of natural type and can produce a variety of fractional kinetic equations and their solutions.
{"title":"On the Generalization of Fractional Kinetic Equation Comprising Incomplete H-Function","authors":"KAMLESH JANGID, S.D. PUROHIT, RITU AGARWAL, RAVI P. AGARWAL","doi":"10.46793/kgjmat2305.701j","DOIUrl":"https://doi.org/10.46793/kgjmat2305.701j","url":null,"abstract":"In the present work, a novel and even more generalized fractional kinetic equation has been formulated in terms of polynomial weighted incomplete H-function, incomplete Fox-Wright function and incomplete generalized hypergeometric function, considering the importance of the fractional kinetic equations arising in the various science and engineering problems. All the derived findings are of natural type and can produce a variety of fractional kinetic equations and their solutions.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135784079","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 : 2023-01-01DOI: 10.46793/kgjmat2305.673g
F. GHOMANJANI
In the sequel, the numerical solution of a new class of nonlinear optimal control problems (OCPs) generated by Atangana-Baleanu-Caputo (ABC) variable order (V-O) fractional derivative (FD) and fractional Volterra-Fredholm integro-differential equations (FVFIDEs) is found by Bezier curve method (BCM). The main idea behind this work is the use of the BCM. In this technique, the solution is found in the form of a rapid convergent series. Using this method, it is possible to obtain BCM solution of the general form of multipoint boundary value problems. To shown the efficiency of the developed method, numerical results are stated as the main results in this study.
{"title":"A New Approach for Solving a New Class of Nonlinear Optimal Control Problems Generated by Atangana-Baleanu- Caputo Variable Order Fractional Derivative and Fractional Volterra-Fredholm Integro-Differential Equations","authors":"F. GHOMANJANI","doi":"10.46793/kgjmat2305.673g","DOIUrl":"https://doi.org/10.46793/kgjmat2305.673g","url":null,"abstract":"In the sequel, the numerical solution of a new class of nonlinear optimal control problems (OCPs) generated by Atangana-Baleanu-Caputo (ABC) variable order (V-O) fractional derivative (FD) and fractional Volterra-Fredholm integro-differential equations (FVFIDEs) is found by Bezier curve method (BCM). The main idea behind this work is the use of the BCM. In this technique, the solution is found in the form of a rapid convergent series. Using this method, it is possible to obtain BCM solution of the general form of multipoint boundary value problems. To shown the efficiency of the developed method, numerical results are stated as the main results in this study.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135843828","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 : 2023-01-01DOI: 10.46793/kgjmat2301.143k
Osamah N. Kassar, A. Juma
In this paper, we introduce and study certain subclass of meromorphic univalent functions by using a linear operator by means of a Hadamard product involving some suitably normalized meromorphically q-Hypergeometric functions, in the punctured open unit disk. Some properties like, coefficients inequalities, growth and distortion theorems, closure theorems, Extreme Points and Radii of meromorphic starlikeness and meromorphic convexity are obtained.
{"title":"Certain Subclasses of Meromorphic Functions with Positive Coefficients Associated with Linear Operator","authors":"Osamah N. Kassar, A. Juma","doi":"10.46793/kgjmat2301.143k","DOIUrl":"https://doi.org/10.46793/kgjmat2301.143k","url":null,"abstract":"In this paper, we introduce and study certain subclass of meromorphic univalent functions by using a linear operator by means of a Hadamard product involving some suitably normalized meromorphically q-Hypergeometric functions, in the punctured open unit disk. Some properties like, coefficients inequalities, growth and distortion theorems, closure theorems, Extreme Points and Radii of meromorphic starlikeness and meromorphic convexity are obtained.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41475056","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 : 2023-01-01DOI: 10.46793/kgjmat2303.369p
K. R. Prasad, M. Khuddush
In this paper we consider a iterative system of two-point boundary value problems with integral boundary conditions having n singularities and involve an increasing homeomorphism, positive homomorphism operator. By applying Hölder’s inequality and Krasnoselskii’s cone fixed point theorem in a Banach space, we derive sufficient conditions for the existence of denumerably many positive solutions. Finally we provide an example to check validity of our obtained results.
{"title":"Denumerably many Positive Solutions for Iterative System of Boundary Value Problems with N-Singularities on Time Scales","authors":"K. R. Prasad, M. Khuddush","doi":"10.46793/kgjmat2303.369p","DOIUrl":"https://doi.org/10.46793/kgjmat2303.369p","url":null,"abstract":"In this paper we consider a iterative system of two-point boundary value problems with integral boundary conditions having n singularities and involve an increasing homeomorphism, positive homomorphism operator. By applying Hölder’s inequality and Krasnoselskii’s cone fixed point theorem in a Banach space, we derive sufficient conditions for the existence of denumerably many positive solutions. Finally we provide an example to check validity of our obtained results.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70588483","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 : 2023-01-01DOI: 10.46793/kgjmat2303.481o
B. Örnek
. In this paper, we discuss different versions of the boundary Schwarz lemma and Hankel determinant for K ( α ) class. Also, for the function f ( z ) = z + c 2 z 2 + c 3 z 3 + · · · defined in the unit disc such that f ∈ K ( α ), we estimate a modulus of the angular derivative of f ( z ) function at the boundary point z 0 with f ( z 0 ) = z 0 1+ α and f 0 ( z 0 ) = 1 1+ α . That is, we shall give an estimate below | f 00 ( z 0 ) | according to the first nonzero Taylor coefficient of about two zeros, namely z = 0 and z 1 6 = 0. The sharpness of this inequality is also proved.
{"title":"Some Results Concerned with Hankel Determinant","authors":"B. Örnek","doi":"10.46793/kgjmat2303.481o","DOIUrl":"https://doi.org/10.46793/kgjmat2303.481o","url":null,"abstract":". In this paper, we discuss different versions of the boundary Schwarz lemma and Hankel determinant for K ( α ) class. Also, for the function f ( z ) = z + c 2 z 2 + c 3 z 3 + · · · defined in the unit disc such that f ∈ K ( α ), we estimate a modulus of the angular derivative of f ( z ) function at the boundary point z 0 with f ( z 0 ) = z 0 1+ α and f 0 ( z 0 ) = 1 1+ α . That is, we shall give an estimate below | f 00 ( z 0 ) | according to the first nonzero Taylor coefficient of about two zeros, namely z = 0 and z 1 6 = 0. The sharpness of this inequality is also proved.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70589107","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 : 2023-01-01DOI: 10.46793/kgjmat2301.081t
A. Tripathy, S. Santra
{"title":"Necessary and Sufficient Conditions for Oscillations to a Second-Order Neutral Differential Equations with Impulses","authors":"A. Tripathy, S. Santra","doi":"10.46793/kgjmat2301.081t","DOIUrl":"https://doi.org/10.46793/kgjmat2301.081t","url":null,"abstract":"","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46976980","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 : 2023-01-01DOI: 10.46793/kgjmat2305.661s
ZEHUI SHAO, HUIQIN JIANG, ZAHID RAZA
A topological index is a type of molecular descriptor that is calculated based on the molecular graph of a chemical compound. Topological indices are used for example in the development of QSAR QSPR in which the biological activity or other properties of molecules are correlated with their chemical structure. In this paper, we establish several inequalities among the molecular descriptors such as the generalized version of the first Zagreb index, the Randić index, the ABC index, AZI index, and the redefined first, second and third Zagreb indices.
{"title":"Inequalities Among Topological Descriptors","authors":"ZEHUI SHAO, HUIQIN JIANG, ZAHID RAZA","doi":"10.46793/kgjmat2305.661s","DOIUrl":"https://doi.org/10.46793/kgjmat2305.661s","url":null,"abstract":"A topological index is a type of molecular descriptor that is calculated based on the molecular graph of a chemical compound. Topological indices are used for example in the development of QSAR QSPR in which the biological activity or other properties of molecules are correlated with their chemical structure. In this paper, we establish several inequalities among the molecular descriptors such as the generalized version of the first Zagreb index, the Randić index, the ABC index, AZI index, and the redefined first, second and third Zagreb indices.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135784080","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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