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001-es BibID:BIBFORM109438
035-os BibID:(cikkazonosító)662 (Scopus)85152643373 (WoS)000959009300001
Első szerző:Al-Ghafri, Khalil S.
Cím:Symmetrical Solutions for Non-Local Fractional Integro-Differential Equations via Caputo-Katugampola Derivatives / Khalil S. Al-Ghafri, Awad T. Alabdala, Saleh S. Redhwan, Omar Bazighifan, Ali Hasan Ali, Loredana Florentina Iambor
Dátum:2023
ISSN:2073-8994
Megjegyzések:Fractional calculus, which deals with the concept of fractional derivatives and integrals, has become an important area of research, due to its ability to capture memory effects and non-local behavior in the modeling of real-world phenomena. In this work, we study a new class of fractional Volterra-Fredholm integro-differential equations, involving the Caputo-Katugampola fractional derivative. By applying the Krasnoselskii and Banach fixed-point theorems, we prove the existence and uniqueness of solutions to this problem. The modified Adomian decomposition method is used, to solve the resulting fractional differential equations. This technique rapidly provides convergent successive approximations of the exact solution to the given problem; therefore, we investigate the convergence of approximate solutions, using the modified Adomian decomposition method. Finally, we provide an example, to demonstrate our results. Our findings contribute to the current understanding of fractional integro-differential equations and their solutions, and have the potential to inform future research in this area.
Tárgyszavak:Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban
folyóiratcikk
Katugampola operator
uniqueness of solutions
Banach space
integro-differential equations
existence theorem
Adomian decomposition
fractional operator
fixed point
Megjelenés:Symmetry. - 15 : 3 (2023), p. 1-15. -
További szerzők:Alabdala, Awad T. Redhwan, Saleh S. Bazighifan, Omar Ali, Ali Hasan (1989-) (matematikus) Iambor, Loredana Florentina
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2.

001-es BibID:BIBFORM053195
Első szerző:Bucataru, Ioan
Cím:Projective Metrizability and Formal Integrability / Ioan Bucataru, Zoltán Muzsnay
Dátum:2011
ISSN:1815-0659
Megjegyzések:The projective metrizability problem can be formulated as follows: under what conditions the geodesics of a given spray coincide with the geodesics of some Finsler space, as oriented curves. In Theorem 3.8 we reformulate the projective metrizability problem for a spray in terms of a first-order partial differential operator P1 and a set of algebraic conditions on semi-basic 1-forms. We discuss the formal integrability of P1 using two sufficient conditions provided by Cartan-Kähler theorem. We prove in Theorem 4.2 that the symbol of P1 is involutive and hence one of the two conditions is always satisfied. While discussing the second condition, in Theorem 4.3 we prove that there is only one obstruction to the formal integrability of P1, and this obstruction is due to the curvature tensor of the induced nonlinear connection. When the curvature obstruction is satisfied, the projective metrizability problem reduces to the discussion of the algebraic conditions, which as we show are always satisfied in the analytic case. Based on these results, we recover all classes of sprays that are known to be projectively metrizable: flat sprays, isotropic sprays, and arbitrary sprays on 1- and 2-dimensional manifolds. We provide examples of sprays that are projectively metrizable without being Finsler metrizable.
Tárgyszavak:Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban
sprays
projective metrizability
semi-basic forms
partial differential operators
formal integrability
Megjelenés:Symmetry, Integrability and Geometry: Methods and Applications. - 7 (2011), p. 1-22. -
További szerzők:Muzsnay Zoltán (1968-) (matematikus)
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3.

001-es BibID:BIBFORM113476
035-os BibID:(Scopus)85146808555 (WoS)000918579800001 (cikkazonosító)115
Első szerző:Cseh József
Cím:A Symmetry In-between the Shapes, Shells, and Clusters of Nuclei / József Cseh, Gábor Riczu, Judit Darai
Dátum:2022
ISSN:2073-8994
Megjegyzések:The multiconfigurational dynamical symmetry (MUSY) connects the shell, collective, and cluster models of atomic nuclei for the case of multi-shell excitations. Therefore, it can give a unified description of various phenomena. The shape isomers are obtained from the investigation of the stability and consistency of the symmetry, and selection rules connect them to the possible cluster configurations and the related reaction channels. A simple, dynamically symmetric Hamiltonian turns out to be able to provide a unified description of the gross features of spectra of different regions of excitation energy and deformation. Some predictions of MUSY have been justified by experimental observations.
Tárgyszavak:Természettudományok Fizikai tudományok idegen nyelvű folyóiratközlemény külföldi lapban
folyóiratcikk
multiconfigurational dynamical symmetry
structure models
shape isomers
clusterization
reaction channels
rotational spectra
Megjelenés:Symmetry. - 15 : 1 (2022), p. 1-18.(cikkazonosító)115. -
További szerzők:Riczu Gábor (1990-) (fizikus) Darai Judit (1957-) (fizikus)
Pályázati támogatás:K128729
NKFIH
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4.

001-es BibID:BIBFORM105256
035-os BibID:(cikkazonosító)2424 (WoS)000895083900001 (Scopus)85145336515
Első szerző:Khan, Fareeha Sami
Cím:Freelance Model with Atangana-Baleanu Caputo Fractional Derivative / Fareeha Sami Khan, M. Khalid, Areej A. Al-moneef, Ali Hasan Ali, Omar Bazighifan
Dátum:2022
ISSN:2073-8994
Megjegyzések:As technology advances and the Internet makes our world a global village, it is important to understand the prospective career of freelancing. A novel symmetric fractional mathematical model is introduced in this study to describe the competitive market of freelancing and the significance of information in its acceptance. In this study, fixed point theory is applied to analyze the uniqueness and existence of the fractional freelance model. Its numerical solution is derived using the fractional Euler's method, and each case has been presented graphically as well as tabular. Further, the results have been compared with the classic freelance model and real data to show the importance of this model.
As technology advances and the Internet makes our world a global village, it is important to understand the prospective career of freelancing. A novel symmetric fractional mathematical model is introduced in this study to describe the competitive market of freelancing and the significance of information in its acceptance. In this study, fixed point theory is applied to analyze the uniqueness and existence of the fractional freelance model. Its numerical solution is derived using the fractional Euler`s method, and each case has been presented graphically as well as tabular. Further, the results have been compared with the classic freelance model and real data to show the importance of this model.
Tárgyszavak:Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban
folyóiratcikk
Atangana-Baleanu fractional derivative
local stability
differential equation
uniqueness and existence
fractional Euler's method
numerical method
Megjelenés:Symmetry. - 14 : 11 (2022), p. 1-13. -
További szerzők:Khalid, M. Al-Moneef, Areej A. Ali, Ali Hasan (1989-) (matematikus) Bazighifan, Omar
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5.

001-es BibID:BIBFORM016479
Első szerző:Lente Gábor (vegyész)
Cím:The Role of Stochastic Models in Interpreting the Origins of Biological Chirality / Gábor Lente
Dátum:2010
ISSN:2073-8994
Megjegyzések:This review summarizes recent stochastic modeling efforts in the theoretical research aimed at interpreting the origins of biological chirality. Stochastic kinetic models, especially those based on the continuous time discrete state approach, have great potential in modeling absolute asymmetric reactions, experimental examples of which have been reported in the past decade. An overview of the relevant mathematical background is given and several examples are presented to show how the significant numerical problems characteristic of the use of stochastic models can be overcome by non-trivial, but elementary algebra. In these stochastic models, a particulate view of matter is used rather than the concentration-based view of traditional chemical kinetics using continuous functions to describe the properties system. This has the advantage of giving adequate description of single-molecule events, which were probably important in the origin of biological chirality. The presented models can interpret and predict the random distribution of enantiomeric excess among repetitive experiments, which is the most striking feature of absolute asymmetric reactions. It is argued that the use of the stochastic kinetic approach should be much more widespread in the relevant literature.
Tárgyszavak:Természettudományok Kémiai tudományok idegen nyelvű folyóiratközlemény külföldi lapban
Megjelenés:Symmetry. - 2 : 2 (2010), p. 767-798. -
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elektronikus változat
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6.

001-es BibID:BIBFORM080841
035-os BibID:(cikkazonosító)739
Első szerző:Pintér Ákos (matematikus)
Cím:On the Decomposability of the Linear Combinations of Euler Polynomials with Odd Degrees / Ákos Pintér, Csaba Rakaczki
Dátum:2019
ISSN:2073-8994
Tárgyszavak:Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban
folyóiratcikk
Megjelenés:Symmetry. - 11 : 6 (2019), p. 1-8. -
További szerzők:Rakaczki Csaba (1976-) (matematikus)
Pályázati támogatás:NKFIH/OTKA K128088
OTKA
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7.

001-es BibID:BIBFORM103133
035-os BibID:(cikkazonosító)1653
Első szerző:Sultana, Mariam
Cím:New Efficient Computations with Symmetrical and Dynamic Analysis for Solving Higher-Order Fractional Partial Differential Equations / Mariam Sultana, Uroosa Arshad, Ali Hasan Ali, Omar Bazighifan, Areej A. Al-Moneef, Kamsing Nonlaopon
Dátum:2022
ISSN:2073-8994
Tárgyszavak:Természettudományok Matematika- és számítástudományok idegen nyelvű folyóiratközlemény külföldi lapban
folyóiratcikk
Megjelenés:Symmetry. - 14 : 8 (2022), p. 1-16. -
További szerzők:Arshad, Uroosa Ali, Ali Hasan (1989-) (matematikus) Bazighifan, Omar Al-Moneef, Areej A. Nonlaopon, Kamsing
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