RGNNA Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98984320220601On some new observations on Kurepa's left factorial1869137010.30495/maca.2022.1950392.1047ENNicolaFabianoVinča Institute of Nuclear Sciences - National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića
Alasa 12--14, 11351 Belgrade, Serbia0000-0003-1645-2071NikolaMirkovVinča Institute of Nuclear Sciences - National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovića
Alasa 12--14, 11351 Belgrade, SerbiaZoran D.MitrovicFaculty of Electrical Engineering University of Banja Luka, Patre 5, 78 000, Banja Luka, Bosnia and HerzegovinaStojanRadenovicFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11 120 Beograd 35, Belgrade, SerbiaJournal Article20220121After a brief historical excursus, we prove in a simple way some properties of Kurepa's function, the left factorial. We introduce Kurepa's hypothesis, propose a new description, and the relation to Bezout's parameters and the Diophantine equation. A numerical analysis supports Kurepa's hypothesis and the conjecture about distribution for Kurepa's function.https://www.macajournal.com/article_691370_3019c2489e29a0922c9433317c690368.pdfRGNNA Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98984320220601Stability analysis of transmitter receptors model91669031810.30495/maca.2022.1953296.1051ENDhamodharanDDepartment of Mathematics, Jamal Mohamed College (Autonomous)(Affiliated to Bharathidasan University), Tiruchirapplli-620020, India0000-0003-4859-4816B. MohamedHarifDepartment of Mathematics, Serfoji Govt. College (Autonomous) (Affiliated to Bharathidasan University),
Tanjavour, Tamilnadu, IndiaBonyahEbenezerDepartment of Mathematics Education, Akenten Appiah Menka University of Skills Training and Entrepreneurial Development, Kumasi, Ghana, South AfricaJournal Article20220221The Jumarie fractional-order transmitter receptors model is discussed in this paper. Transmitter receptors can be found in a variety of states, including accumulated, freed, combined with receptors, and recycled for storage. For such a system, a collection of equations is proposed and analyzed. We considered the solution's asymptotically stability and discussed the physiological effect of transmitter receptor transport in a synaptic chasm in the presence of receptors and transporters with different kinetic properties under these limited conditions.https://www.macajournal.com/article_690318_4a5f923eb81623e3f2f84529dfb94079.pdfRGNNA Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98984320220601Intuitionistic fuzzy BCI-algebras (implicative ideals, closed implicative ideals, commutative ideals) under norms173469136910.30495/maca.2022.1947637.1041ENRasulRasuliDepartment of Mathematics, Payame Noor University, Tehran, Iran.Journal Article20211219In this article, by using norms($T$ and $C$), we present the concept of intuitionistic fuzzy implicative ideals, intuitionistic fuzzy closed implicative ideals and intuitionistic fuzzy commutative ideals of $BCI$-algebras. Some interesting results of them are given. Characterisations of implicative ideals closed implicative ideals and commutative ideals of $BCI$-algebras by using them are explored. By using intersections, direct products and homomorphisms, some interesting results are obtained.https://www.macajournal.com/article_691369_c60b2ebc59ebe9ea674641e25bc3d4b9.pdfRGNNA Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98984320220601Extension of the double Newton's method Convergence Order via the Bi-variate power series weight function for Solving Nonlinear Models.354669332410.30495/maca.2022.1954323.1052ENOghoveseOgbereyivweDelta State University of Science and Technology, Ozoro, Nigeria0000-0001-9810-2299Simon AjirogheneOgumeyoDelta State University of Science and Technology, Ozoro, NigeriaJournal Article20220306This manuscript put forward one and two-parameter families of modified double Newton iterative structure with convergence order six, for approximation of the solution of nonlinear model. The modification technique involves the introduction of quotient of two converging bi-variate Power series based weight function to the second step of the double Newton's method. Some particular members of the developed methods have experimented on some physical phenomena modeled into nonlinear equations and results compared with some existing methods.https://www.macajournal.com/article_693324_e79140b00ed6d30d7bc245c903eec735.pdfRGNNA Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98984320220601On fixed point results in $F $-metric space with applications to neutral differential equations476269031710.30495/maca.2022.1952999.1050ENShehu ShagariMohammedDepartment of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, NigeriaYahayaSirajoSchool of Arts and Sciences, American University of Nigeria, Yola, Adamawa State, NigeriaIbrahim AliyuFulatanDepartment of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, NigeriaJournal Article20220219In this paper, a new concept of Ciric-Kannan -$\alpha-\psi$-contractions in the setting of $F $-metric space is introduced. Using this idea, endowed with suitable hypotheses, some fixed point theorems for such mappings in $F $-complete $F $-metric space are established. As an application, an existence condition for a solution of nonlinear neutral differential equations is investigated to show the usability of our obtained results.https://www.macajournal.com/article_690317_74776073a2deee081621290e64679744.pdfRGNNA Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98984320220601A novel coupled fixed point results pertinent to Ab-metric spaces with application to Integral equations638369031510.30495/maca.2022.1949822.1046ENRavibabuKonchadaDepartment of Mathematics, G.M.R.I.T, Rajam, Srikakulam-532 127, IndiaSrinivasa RaoChindiralaDepartment of Mathematics, Andhra University, Visakhapatnam-530 001, IndiaRaghavendra NaiduChappaDepartment of Mathematics, Govt. Degree College, Palakonda, Srikakulam-532 440, IndiaJournal Article20220114We prove the existence and uniqueness of coupled common fixed point results in partially ordered $\mathscr{A}_b$-metric spaces in the present study. In addition to the acquired results, examples and applications are provided.https://www.macajournal.com/article_690315_822aacee0be0d256b13e8e161972f7ab.pdf