Browsing by Author "Rezapour, S."

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Citation Count: Baleanu, D...et al. (2020). "A New Study On the Mathematical Modelling of Human Liver With Caputo–Fabrizio Fractional Derivative", Chaos, Solitons and Fractals, Vol. 134.
A New Study On the Mathematical Modelling of Human Liver With Caputo–Fabrizio Fractional Derivative
(Elsevier LTD., 2020) Baleanu, Dumitru; Jajarmi, Amin; Mohammadi, H.; Rezapour, S.; 56389
In this research, we aim to propose a new fractional model for human liver involving Caputo–Fabrizio derivative with the exponential kernel. Concerning the new model, the existence of a unique solution is explored by using the Picard–Lindelöf approach and the fixed-point theory. In addition, the mathematical model is implemented by the homotopy analysis transform method whose convergence is also investigated. Eventually, numerical experiments are carried out to better illustrate the results. Comparative results with the real clinical data indicate the superiority of the new fractional model over the pre-existent integer-order model with ordinary time-derivatives.
Citation Count: Mohammadi, H...et al. (2021). "Criteria for existence of solutions for a Liouville–Caputo boundary value problem via generalized Gronwall’s inequality", Journal of Inequalities and Applications, Vol. 2021, No. 1.
Criteria for existence of solutions for a Liouville–Caputo boundary value problem via generalized Gronwall’s inequality
(2021) Mohammadi, H.; Baleanu, Dumitru; Etemad, S.; Rezapour, S.; 56389
In this research, we first investigate the existence of solutions for a new fractional boundary value problem in the Liouville–Caputo setting with mixed integro-derivative boundary conditions. To do this, Kuratowski’s measure of noncompactness and Sadovskii’s fixed point theorem are our tools to reach this aim. In the sequel, we discuss the continuous dependence of solutions on parameters by means of the generalized Gronwall inequality. Moreover, we consider an inclusion version of the given boundary problem in which we study its existence results by means of the endpoint theory. Finally, we prepare two simulative numerical examples to confirm the validity of the analytical findings.
Citation Count: Hosseini K.,...et.al. (2022). "Multi-complexiton and positive multi-complexiton structures to a generalized B-type Kadomtsev−Petviashvili equation", Journal of Ocean Engineering and Science.
Multi-complexiton and positive multi-complexiton structures to a generalized B-type Kadomtsev−Petviashvili equation
(2022) Hosseini, K.; Baleanu, D.; Rezapour, S.; Salahshour, S.; Mirzazadeh, M.; Samavat, M.; 56389
Recently, Zhang et al. (International Journal of Modern Physics B 30 (2016) 1640029) constructed N-wave solutions of a generalized B-type Kadomtsev−Petviashvili (gbKP) equation using the linear superposition method. The authors’ aim of the present paper is to derive multi-complexiton and positive multi-complexiton structures of the gbKP equation through considering N-wave solutions and applying specific systematic methods. To investigate the dynamical characteristics of positive multi-complexiton structures, particularly single and double positive complexitons, several two and three-dimensional simulations are formally considered. The results of the current research enrich the studies regarding the gbKP equation.
Citation Count: Abdeljawad, T., Rezapour, S. (2013). Some fixed point results in tvs-cone metric spaces. Fixed Point Theory, 14(2), 263-268.
Some fixed point results in tvs-cone metric spaces
(House Book Science, 2013) Abdeljawad, Thabet; Rezapour, S.
Every TVS-cone metric space is topologically isomorphic to a topological metric space. In this paper, by using a nonlinear scalarization, we give some fixed point results with nonlinear contractive conditions on TVS-cone metric spaces.