Mohammadreza Foroutan
Verified @yahoo.com
Scopus Publications
- Correction to: Solving an electrically conducting nanofluid over an impermeable stretching cylinder problem with a spectral reproducing kernel method (Journal of Thermal Analysis and Calorimetry, (2024), 149, 15, (8747-8759), 10.1007/s10973-024-13336-9)
M. R. Foroutan, M. S. Hashemi, Shahram Rezapour, Mustafa Inc, F. Habibi
Journal of Thermal Analysis and Calorimetry, 2024 - Solving an electrically conducting nanofluid over an impermeable stretching cylinder problem with a spectral reproducing kernel method
M. R. Foroutan, M. S. Hashemi, Shahram Rezapour, Mustafa Inc, F. Habibi
Journal of Thermal Analysis and Calorimetry, 2024
In this paper, a nonlinear mechanical system of ordinary differential equations (ODEs) with multi-point boundary conditions is considered by a novel type of reproducing kernel Hilbert space method (RKHSM). To begin, we define the unknown variables in terms of the reproducing kernel function. The roots of the Shifted Chebyshev polynomials (SCPs) are then utilized to collocate the resulting system. Finally, Newton’s iterative method is employed to find the unknown expansion coefficients. The solutions of this system of equations, which arise from the flow of an electrically conducting nanofluid over an impermeable stretching cylinder, are numerically analyzed, and convergence analysis is discussed to demonstrate the reliability of the presented method (PM). Tables and figures are provided to further discuss the solutions and assess the effectiveness of the method in comparison to other techniques in the literature. - On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps
Mohammadreza Foroutan
Sahand Communications in Mathematical Analysis, 2023
In this paper, a special class of relative reproducing kernel Banach spaces a semi-inner product is studied. We extend the concept of relative reproducing kernel Hilbert spaces to Banach spaces. We present these relative reproducing kernel Banach spaces in terms of the feature maps and establish the separability of the domains when they are separable. In addition, we prove some theorems concerning feature maps and reproducing kernel Banach spaces. And finally, the relative kernels are compared with the semi-inner ones. - A new application of the Legendre reproducing kernel method
Mohammad Reza Foroutan, Mir Sajjad Hashemi, Leila Gholizadeh, Ali Akgül, Fahd Jarad
Aims Mathematics, 2022
<abstract><p>In this work, we apply the reproducing kernel method to coupled system of second and fourth order boundary value problems. We construct a novel algorithm to acquire the numerical results of the nonlinear boundary-value problems. We also use the Legendre polynomials. Additionally, we discuss the convergence analysis and error estimates. We demonstrate the numerical simulations to prove the efficiency of the presented method.</p></abstract> - Laguerre reproducing kernel method in Hilbert spaces for unsteady stagnation point flow over a stretching/shrinking sheet
M. R. Foroutan, A. S. Gholizadeh, Sh. Najafzadeh, R. H. Haghi
Applied Mathematics, 2021 - Some Properties of Certain Subclass of Meromorphic Functions Associated with (p, q)-derivative
M. Golmohammadi, S. Najafzadeh, M. Foroutan
Sahand Communications in Mathematical Analysis, 2020
In this paper, by making use of $(p , q) $-derivative operator we introduce a new subclass of meromorphically univalent functions. Precisely, we give a necessary and sufficient coefficient condition for functions in this class. Coefficient estimates, extreme points, convex linear combination, Radii of starlikeness and convexity and finally partial sum property are investigated. - Q-analogue of liu-srivastava operator on meromorphic functions based on subordination
Mohammad Hassan Gholmohammadi, S. Najafzadeh, M. Foroutan
International Journal of Nonlinear Analysis and Applications, 2020
In this paper, the authors investigate a new subclass of meromorphic functions associated with q-Analogue of Liu-Srivastava operator and differential subordination. Some properties in the form of coefficient inequality, Integral representation, Radii of starlikeness and convexity, and partial sum concept are introduced. - A reproducing kernel Hilbert space method for solving the nonlinear three-point boundary value problems
Mohammadreza Foroutan, Raheleh Asadi, Ali Ebadian
International Journal of Numerical Modelling Electronic Networks Devices and Fields, 2019
The main objective of this paper is to present a reproducing kernel Hilbert space method for computing solutions of nonlinear third‐order ordinary differential equations under multipoint boundary conditions. Some other aspects of the reproducing kernel Hilbert space method, such as convergence analysis and error estimate, are also discussed. The proposed method is a well‐performance technique for calculating the best approximate solution of nonlinear boundary value problems. Our numerical experiments validate our theoretical findings and demonstrate the desirable performance of the algorithm in terms of simplicity, accuracy, and efficiency. - Solitons in optical metamaterials with anti-cubic law of nonlinearity by ETEM and IGEM
Mohammadreza Foroutan, Jalil Manafian, Arash Ranjbaran
Journal of the European Optical Society, 2018
This paper studies soliton perturbation in optical metamaterials, with anticubic nonlinearity. Two integration approaches, namely, the extended trial equation method (ETEM) and the improved G’/Gexpansion method (IGEM) are presented. Bright, dark and singular soliton solutions are retrieved. The existence criteria of these solitons in metamaterials are also demonstrated. All solutions have been verified back into its corresponding equation with the aid of maple package program. Finally, we believe that the executed method is robust and efficient than other methods and the obtained solutions in this paper can help us to understand the variation of solitary waves in optical metamaterials. - Generalized Jacobi reproducing kernel method in Hilbert spaces for solving the black-scholes option pricing problem arising in financial modelling
Mohammadreza Foroutan, Ali Ebadian, Hadi Rahmani Fazli
Mathematical Modelling and Analysis, 2018
Based on the reproducing kernel Hilbert space method, a new approach is proposed to approximate the solution of the Black-Scholes equation with Dirichlet boundary conditions and introduce the reproducing kernel properties in which the initial conditions of the problem are satisfied. Based on reproducing kernel theory, reproducing kernel functions with a polynomial form will be constructed in the reproducing kernel spaces spanned by the generalized Jacobi basis polynomials. Some new error estimates for application of the method are established. The convergence analysis is established theoretically. The proposed method is successfully used for solving an option pricing problem arising in financial modelling. The ideas and techniques presented in this paper will be useful for solving many other problems. - Reproducing kernel method in Hilbert spaces for solving the linear and nonlinear four-point boundary value problems
Mohammadreza Foroutan, Ali Ebadian, Raheleh Asadi
International Journal of Computer Mathematics, 2018 - New explicit soliton and other solutions for the conformable fractional Biswas–Milovic equation with Kerr and parabolic nonlinearity through an integration scheme
Mohammadreza Foroutan, Dipankar Kumar, Jalil Manafian, Ashabul Hoque
Optik, 2018 - Soliton wave solutions in optical metamaterials with anti-cubic law of nonlinearity by ITEM
Mohammadreza Foroutan, Jalil Manafian, Isa Zamanpour
Optik, 2018 - Solitons in optical metamaterials with anti-cubic law of nonlinearity by generalized G′/G-expansion method
Mohammadreza Foroutan, Jalil Manafian, Arash Ranjbaran
Optik, 2018 - Lump solution and its interaction to (3+1)-D potential-YTSF equation
Mohammadreza Foroutan, Jalil Manafian, Arash Ranjbaran
Nonlinear Dynamics, 2018 - Resonant optical solitons with perturbation terms and fractional temporal evolution using improved tan (ϕ(η)/2)-expansion method and exp function approach
Kamyar Hosseini, Jalil Manafian, Farzan Samadani, Mohammadreza Foroutan, Mohammad Mirzazadeh, Qin Zhou
Optik, 2018 - Global Convergence Property of Scaled Two-Step BFGS Method
Fahimeh Biglari, Ali Ebadian, Mohammadreza Foroutan
Mediterranean Journal of Mathematics, 2018 - Optical solitons in (n+ 1) -dimensions under anti-cubic law of nonlinearity by analytical methods
Mohammadreza Foroutan, Jalil Manafian, Arash Ranjbaran
Optical and Quantum Electronics, 2018 - Exact solutions for Fitzhugh–Nagumo model of nerve excitation via Kudryashov method
Mohammadreza Foroutan, Jalil Manafian, Hamed Taghipour-Farshi
Optical and Quantum Electronics, 2017 - Applications of the ETEM for obtaining optical soliton solutions for the Lakshmanan-Porsezian-Daniel model
Jalil Manafian, Mohammadreza Foroutan, Aref Guzali
European Physical Journal Plus, 2017 - Applications of IBSOM and ETEM for solving the nonlinear chains of atoms with long-range interactions
Mohammadreza Foroutan, Isa Zamanpour, Jalil Manafian
European Physical Journal Plus, 2017 - Application of tan (ϕ(ξ) / 2) -expansion method for the time-fractional Kuramoto–Sivashinsky equation
Jalil Manafian, Mohammadreza Foroutan
Optical and Quantum Electronics, 2017 - Analysis of unsteady stagnation-point flow over a shrinking sheet and solving the equation with rational Chebyshev functions
Mohammadreza Foroutan, Ali Ebadian, Shahram Najafzadeh
Mathematical Methods in the Applied Sciences, 2017 - The use of generalized Laguerre functions for solving the equation of magnetohydydinamic flow due to a stretching cylinder
Mohammadreza Foroutan, Ali Ebadian, Shahram Najafzadeh
Sema Journal, 2016 - Solitary waves and other solutions to kadomtsev-petviashvili equation with spatio-temporal dispersion
Romanian Journal of Physics, 2015
RECENT SCHOLAR PUBLICATIONS
- Riesz Dunford integral and operators on Hilbert space based on univalent functions with fixed residue
L Nobakht, S Najafzadeh, M Foroutan
Journal of Mahani Mathematical Research, 209-217 , 2026
2026 - Comprehensive subclass of univalent functions associated with the Gegenbauer polynomial and the Bahalola operator
S Ahmadpour, S Najafzadeh, M Foroutan, R Haghi
International Journal of Nonlinear Analysis and Applications , 2025
2025 - On a class of multivalent meromorphic functions defined by the combinational differential operator
M Foroutan, M Soltani, A Ebadian
International Journal of Nonlinear Analysis and Applications 16 (11), 17-30 , 2025
2025 - Solving an electrically conducting nanofluid over an impermeable stretching cylinder problem with a spectral reproducing kernel method
MR Foroutan, MS Hashemi, S Rezapour, M Inc, F Habibi
Journal of Thermal Analysis and Calorimetry 149 (15), 8747-8759 , 2024
2024 - Application of Sigmoid function in the space of univalent functions based on subordination
F Madadi Tamrin, S Najafzadeh, MR Foroutan
Journal of Mahani Mathematical Research 13 (2), 169-177 , 2024
2024 - APPLICATION OF SIGMOID FUNCTION IN THE SPACE OF UNIVALENT FUNCTIONS BASED ON SUBORDINATION.
F TAMRIN, S Najafzadeh, MR FOROUTAN
Journal of Mahani Mathematical Research Center 13 (2), 169 , 2024
2024 - Meromorphic multivalent functions associated with Mittage-Leffler Function based on convolution product
M Foroutan
Journal of New Researches in Mathematics , 2024
2024 - On Relative Reproducing Kernel Banach Spaces: Definitions, Semi-Inner Product and Feature Maps
M Foroutan
Sahand Communications in Mathematical Analysis 20 (4), 47-61 , 2023
2023 - Reproducing kernel Hilbert spaces via sampling in discrete spaces
M Foroutan, R Asadi
The Journal of Analysis 31 (3), 1805-1818 , 2023
2023
Citations: 2 - Positive definite kernels and reproducing kernel Hilbert spaces
M Foroutan, F Farzanfar
Proceeding of The 12th International Seminar on Linear Algebra and its … , 2023
2023 - حل مسٔله مقدار مرزی مرتبه چهارم با استفاده از پایه موجک متعامد
محمدرضا فروتن
Wavelet and Linear Algebra 9 (2 (Persian issue)), 153-175 , 2023
2023 - A new reproducing kernel method for solving the second order partial differential equation
M Foroutan, S Morovvati Darabad, K Fallahi
International Journal of Nonlinear Analysis and Applications 14 (2), 327-339 , 2023
2023 - Discrete Sampling Analysis for Electricity Market Forecasting with Reproducing Kernel Hilbert Space
M Foroutan, F Farzanfar
Communications in Combinatorics, Cryptography & Computer Science 2022 (2 … , 2022
2022 - Harmonic Univalent Functions Defined by q–Derivative and Hypergeometric Function.
S Najafzadeh, Z Dehdast, MR Foroutan
Journal of Mathematical Extension 16 (6) , 2022
2022 - A new application of the Legendre reproducing kernel method
MR Foroutan, MS Hashemi, L Gholizadeh, A Akgül, F Jarad
2022
Citations: 6 - Harmonic univalent functions related to q-derivative based on basic hypergeometric function
Z Dehdast, MR Foroutan
JOURNAL OF MATHEMATICAL EXTENSION 16 , 2022
2022 - Some properties of certain subclass of meromorphic functions associated with q-derivative
MH Golmohammadi, S Najafzadeh, M Frotan
Caspian Journal of Mathematical Sciences 10 (2), 289-299 , 2021
2021 - Laguerre reproducing kernel method in Hilbert spaces for unsteady stagnation point flow over a stretching/shrinking sheet
MR Foroutan, AS Gholizadeh, S Najafzadeh, RH Haghi
Applied Mathematics-A Journal of Chinese Universities 36 (3), 354-369 , 2021
2021
Citations: 4 - The influence of mean arterial blood pressure during cardiopulmonary bypass on post-operation acute kidney injury in hypertensive patients
SM Alavi, H Sanadgol, M Ziyaeifard, MR Foroutan, A Alizadeh-Ghavidel, ...
J Renal Inj Prev 10 (2), e12 , 2021
2021
Citations: 1 - NEW SUBCLASS OF MEROMORPHIC FUNCTIONS BY THE GENERALIZATION OF THE q-DERIVATIVE OPERATOR
MH Golmohammadi, S Najafzadeh, MR Forutan
Facta Universitatis, Series: Mathematics and Informatics, 1461-1474 , 2021
2021
MOST CITED SCHOLAR PUBLICATIONS
- Lump solution and its interaction to (3+ 1)-D potential-YTSF equation
M Foroutan, J Manafian, A Ranjbaran
Nonlinear Dynamics 92 (4), 2077-2092 , 2018
2018
Citations: 113 - Applications of the ETEM for obtaining optical soliton solutions for the Lakshmanan-Porsezian-Daniel model
J Manafian, M Foroutan, A Guzali
The European Physical Journal Plus 132 (11), 494 , 2017
2017
Citations: 90 - Resonant optical solitons with perturbation terms and fractional temporal evolution using improved tan (ϕ (η)/2)-expansion method and exp function approach
K Hosseini, J Manafian, F Samadani, M Foroutan, M Mirzazadeh, Q Zhou
Optik 158, 933-939 , 2018
2018
Citations: 63 - Solitons in optical metamaterials with anti-cubic law of nonlinearity by generalized G′/G-expansion method
M Foroutan, J Manafian, A Ranjbaran
Optik 162, 86-94 , 2018
2018
Citations: 51 - Soliton wave solutions in optical metamaterials with anti-cubic law of nonlinearity by ITEM
M Foroutan, J Manafian, I Zamanpour
Optik 164, 371-379 , 2018
2018
Citations: 41 - Application of -expansion method for the time-fractional Kuramoto–Sivashinsky equation
J Manafian, M Foroutan
Optical and Quantum Electronics 49 (8), 272 , 2017
2017
Citations: 39 - New explicit soliton and other solutions for the conformable fractional Biswas–Milovic equation with Kerr and parabolic nonlinearity through an integration scheme
M Foroutan, D Kumar, J Manafian, A Hoque
Optik 170, 190-202 , 2018
2018
Citations: 35 - Applications of IBSOM and ETEM for solving the nonlinear chains of atoms with long-range interactions
M Foroutan, I Zamanpour, J Manafian
The European Physical Journal Plus 132 (10), 421 , 2017
2017
Citations: 25 - Exact solutions for Fitzhugh–Nagumo model of nerve excitation via Kudryashov method
M Foroutan, J Manafian, H Taghipour-Farshi
Optical and Quantum Electronics 49 (11), 352 , 2017
2017
Citations: 19 - Reproducing kernel method in Hilbert spaces for solving the linear and nonlinear four-point boundary value problems
M Foroutan, A Ebadian, R Asadi
International Journal of Computer Mathematics 95 (10), 2128-2142 , 2018
2018
Citations: 17 - Solitons in optical metamaterials with anti-cubic law of nonlinearity by ETEM and IGEM
M Foroutan, J Manafian, A Ranjbaran
Journal of the European Optical Society-Rapid Publications 14 (1), 16 , 2018
2018
Citations: 17 - Optical solitons in -dimensions under anti-cubic law of nonlinearity by analytical methods
M Foroutan, J Manafian, A Ranjbaran
Optical and Quantum Electronics 50 (2), 97 , 2018
2018
Citations: 16 - Chebyshev rational approximations for the Rosenau-KdV-RLW equation on the whole line
M Foroutan, A Ebadian
International Journal of Analysis and Applications 16 (1), 1-15 , 2018
2018
Citations: 11 - Solitary waves and other solutions to Kadomtsev-Petviashvili equation with spatio-temporal dispersion
NY Fard, MR Foroutan, M Eslami, M Mirzazadeh, A Biswas
Rom. J. Phys 60 (9-10), 1337-1360 , 2015
2015
Citations: 11 - A reproducing kernel Hilbert space method for solving the nonlinear three‐point boundary value problems
M Foroutan, R Asadi, A Ebadian
International Journal of Numerical Modelling: Electronic Networks, Devices … , 2019
2019
Citations: 7 - Generalized Jacobi reproducing kernel method in Hilbert spaces for solving the Black-Scholes option pricing problem arising in financial modelling
M Foroutan, A Ebadian, HR Fazli
Mathematical Modelling and Analysis 23 (4), 538-553 , 2018
2018
Citations: 7 - Analysis of unsteady stagnation‐point flow over a shrinking sheet and solving the equation with rational Chebyshev functions
M Foroutan, A Ebadian, S Najafzadeh
Mathematical Methods in the Applied Sciences 40 (7), 2610-2622 , 2017
2017
Citations: 7 - A new application of the Legendre reproducing kernel method
MR Foroutan, MS Hashemi, L Gholizadeh, A Akgül, F Jarad
2022
Citations: 6 - Laguerre reproducing kernel method in Hilbert spaces for unsteady stagnation point flow over a stretching/shrinking sheet
MR Foroutan, AS Gholizadeh, S Najafzadeh, RH Haghi
Applied Mathematics-A Journal of Chinese Universities 36 (3), 354-369 , 2021
2021
Citations: 4 - Reproducing kernel Hilbert spaces via sampling in discrete spaces
M Foroutan, R Asadi
The Journal of Analysis 31 (3), 1805-1818 , 2023
2023
Citations: 2
