Browsing by Author "İnc, Mustafa"

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Magnetic charged particles of optical spherical antiferromagnetic model with fractional system
(2021) Baleanu, Dumitru; Korpınar, Talat; Baleanu, Dumitru; Korpınar, Zeliha; Almohsen, Bandar; İnc, Mustafa; 56389
In this article, we first consider approach of optical spherical magnetic antiferromagnetic model for spherical magnetic flows of ϒ \Upsilon -magnetic particle with spherical de-Sitter frame in the de-Sitter space S 1 2 {{\mathbb{S}}}_{1}^{2}. Hence, we establish new relationship between magnetic total phases and spherical timelike flows in de-Sitter space S 1 2 {{\mathbb{S}}}_{1}^{2}. In other words, the applied geometric characterization for the optical magnetic spherical antiferromagnetic spin is performed. Moreover, this approach is very useful to analyze some geometrical and physical classifications belonging to ϒ \Upsilon -particle. Besides, solutions of fractional optical systems are recognized for submitted geometrical designs. Geometrical presentations for fractional solutions are obtained to interpret the model. These obtained results represent that operation is a compatible and significant application to restore optical solutions of some fractional systems. Components of models are described by physical assertions with solutions. Additionally, we get solutions of optical fractional flow equations with designs of our results in de-Sitter space S 1 2 {{\mathbb{S}}}_{1}^{2}. © 2021 Shao-Wen Yao et al., published by De Gruyter.
Mathematical modeling of pine wilt disease with Caputo fractional operator
(2021) Baleanu, Dumitru; Acay, Bahar; Mustapha, Umar Tasiu; İnc, Mustafa; Baleanu, Dumitru; 56389
In this work, we investigate the transmission dynamics of pine wilt disease infection and developed a new model utilizing Caputo fractional-order derivative. Moreover, with the use of fixed point theorem, the existence and uniqueness of the pine wilt disease model are obtained under Caputo operator. Using forward normalized sensitivity index, we determine the most sensitive parameters essential for the control of the infection and the results show that, decreasing the values of contact rate of a susceptible vector with infected pine trees and progression rate play a significant role in controlling the spread of pine wilt disease infection. On the other hand, we obtain different numerical simulations results of the model using the appropriate parameter values. Hence, from the graphs, it can be concluded that Caputo fractional operator gives more biologically observable behavior of the proposed disease model thanks to the changed fractional order. Compared to the previously built integer order model, the non-integer order derivative provided more efficient and flexible information about the complexity of the model's dynamics. © 2020
Symmetry analysis and some new exact solutions of the newell-whitehead-segel and zeldovich equations
(2019) Baleanu, Dumitru; Ghanbari, Behzad; Qureshi, Sania; İnc, Mustafa; Baleanu, Dumitru; 56389
The present study offers an overview of Newel-Whitehead-Segel (NWS) and Zeldovich equations (ZEE) equations by Lie symmetry analysis and generalizes rational function methods of exponential function. Some novel complex and real-valued exact solutions for the equations under consideration are presented. Using a new conservation theorem, we construct conservation laws for the ZEE equation. The physical expression for some of the solutions is presented to shed more light on the mechanism of the solutions.