سید رضا حجازی

محتوای الکترونیک

• ریاضی عمومی 2 - فنی [کارشناسی]
• ریاضیات عمومی 2 [کارشناسی]
• هندسه دیفرانسیل [کارشناسی]
• هندسه منیفلد1 [کارشناسی ارشد]

تابلوی اعلانات

زمینه‌های تدریس

• آنالیز روی گروههای لی و فضاهای همگن
• کوهمولوژی دورام منیفلد و فیبرهای برداری
• گروههای توپولوژیک

• تحلیل هندسی دستگاههای معادلات دیفرانسیل
• توپولوژی دیفرانسیل
• هندسه منیفلد
• گروه و جبرلی

• آنالیز ریاضی 3
• توپولوزی عمومی
• ریاضی عمومی
• هندسه دیفرانسیل

سرپرستی پایان‌نامه‌ها

مقالات و کتب

• "قیمت‌گذاری اختیار معاملات توانی بر مبنای مدل هستون (شواهدی از بورس اوراق بهادار تهران)"، دانش سرمایه گذاری، 33، 33، -، 2020-04-20
• "بررسي توليد آنتروپي در جريان سكون متقارن محوري نانو سيال بر روي استوانه با دماي ديواره ثابت"، نشریه پژوهشی مهندسی مکانیک ایران، 4، 4، 34-58، 2020-08-09
• "بررسی تولید آنتروپی در جریان سکون متقارن محوري نانوسیال روي استوانه با شار حرارتی دیواره ثابت"، روشهای عددی در مهندسی، 1، 1، 135-145، 2020-09-21


• "Classification of Lie Subalgebras up to an Inner Automorphism", Journal of Algebraic Systems, 0, 0, -, 2010-10-12
• "Lie group analysis, Hamiltonian equations and conservation laws of Born–Infeld equation", Asian-European J. Math., 3, 3, 1450040-
• "Symmetry reductions and exact solutions for a class of nonlinear PDEs", Asian-European J. Math., 3, 3, 1650061-
• "Symmetry properties, similarity reduction and exact solutions of fractional Boussinesq equation", International Journal of Geometric Methods in Modern Physics, 6, 6, -, 2017-02-28
• "Group analysis of the time fractional generalized diffusion equation", Physica A: Statistical Mechanics and its Applications, 0, 0, 572-579, 2017-08-01
• "Polynomial and non-polynomial solutions set for wave equation using Lie point symmetries", Computational Methods for Differential Equations, 4, 4, 298-308
• "New Solution for Fokker-Plank Equation of Special Stochastic Process with Lie Point Symmetries", Computational Methods for Differential Equations, 1, 1, 30-42
• "CONSERVATION LAWS AND SIMILARITY REDUCTION OF THE ZOOMERON EQUATION", Vestnik KRAUNC. Fiz.-Mat. Nauki, 0, 0, 7-13
• "Classification of Kerr-Newman's Geodesics", General Mathematics Notes, 2, 2, 17-23
• "A new random approach to the Lebesgue integral", International Journal of Applied Mathematics, 6, 6, 695-699
• "Travelling Wave Solutions and Conservation Laws of Fisher-Kolmogorov Equation", General Mathematics Notes, 2, 2, 16-25
• "A new method for option pricing via time-fractional PDE", Asian-European Journal of Mathematics, 0, 0, 1850074-
• "Analyzing Lie symmetry and constructing conservation laws for time-fractional Benny–Lin equation", INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 0, 0, 1-25
• "Lie point symmetries‎, ‎Hamiltonian equations and conservation laws of the geodesics on a Schwarzschild black hole‎", Kragujevac Journal of Mathematics, 1, 1, -
• "Conservation laws of (3+α)-dimensional time-fractional diffusion equation", Computers & Mathematics with Applications, 0, 0, -, 2017-10-28
• "Lie symmetry analysis, conservation laws and exact solutions of the time-fractional generalized Hirota–Satsuma coupled KdV system", Physica A: Statistical Mechanics and its Applications, 0, 0, 296-307, 2018-01-01
• "Exact solutions of a linear fractional partial differential equation via characteristics method", Computational Methods for Differential Equations, 1, 1, 12-18, 2018-01-01
• "Approximate symmetry analysis of nonlinear Rayleigh-wave equation", INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 0, 0, 1850055-18
• "Lie point symmetries‎, ‎Hamiltonian equations and conservation laws of the geodesics on a Schwarzchild black hole", Kragujevac Journal of Mathematics, 3, 3, -
• "Symmetry properties, conservation laws and exact solutions of time-fractional Irrigation equation", Waves in Random and Complex Media., 1, 1, -
• "Exact solutions of the time-fractional non-linear Scrodinger equation via two different methods", Mathematical Methods in the applied sciences, 1, 1, -
• "A comparison of conservation laws of the Boussinesq system", Kragujevac Journal of Mathematics, 2, 2, -
• "New Solutions for Fokker-Plank Equation of‎ ‎Special Stochastic Process via Lie Point Symmetries", Computational Methods for Diferential Equations, 1, 1, 30-42, 2017-03-30
• "Exact solution of the time fractional non-linear Schrodinger equation with two different methods .", Mathematical Methods in the applied sciences., 0, 0, -
• "Lie symmetry approach for The Vlasov–Maxwell system of equations", JOURNAL OF GEOMETRY AND PHYSICS, 0, 0, 1-12, 2018-05-30
• "CONSERVATION LAWS OF THE TIME-FRACTIONAL ZAKHAROV-KUZNETSOV-BURGERS EQUATION", Kragujevac Journal of Mathematics, 1, 1, 75-88
• "Symmetry properties, conservation laws, reduction and numerical approximations of time-fractional cylindrical-Burgers equation", Communications in nonlinear science and numerical simulation, 11, 11, 176-191, 2018-07-20
• "Exact solutions for time-fractional Fokker–Planck–Kolmogorov equation of Geometric Brownian motion via Lie point symmetries", International Journal of Financial Engineering, 2, 2, 1-15, 2018-11-02
• "Lie symmetry analysis, conservation laws and numerical approximations of time-fractional Fokker–Planck equations for special stochastic process in foreign exchange markets", Physica A: Statistical Mechanics and Its Applications, 25, 25, 750-763, 2018-08-22
• "Lie symmetry analysis, conservation laws and similarity reductions of Newell–Whitehead–Segel equation of fractional order", JOURNAL OF GEOMETRY AND PHYSICS, 10, 10, 116-128, 2019-01-01
• "Symmetry group, Hamiltonian equations and conservation laws of general three-dimensional anisotropic non-linear sourceless heat transfer equation", Computational Methods for Differential Equations, 1, 1, 54-64, 2018-12-23
• "Approximate symmetries, conservation laws and numerical solutions for a class of perturbed linear wave type system", Quaestiones Mathematicae, 1, 1, 1-17
• "Symmetry operators and exact solutions of a type of time-fractional Burgers–KdV equation", INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 0, 0, 1950032-
• "SELF-ADJOINTNESS, CONSERVATION LAWS AND INVARIANT SOLUTIONS OF THE BUCKMASTER EQUATION", Computational Methods for Differential Equations, 1, 1, 85-98, 2019-04-01
• "Exact solutions for Fokker-Plank equation of geometric Brownian motion with lie point symmetries", Computational Methods for Differential Equations, 3, 3, 372-379, 2018-12-19
• "A NEW METHOD FOR CONSTRUCTING EXACT SOLUTIONS FOR A TIME-FRACTIONAL DIFFERENTIAL EQUATION", Computational Methods for Differential Equations, 1, 1, 194-204, 2020-01-01
• "Symmetries, conservation laws and exact solutions of the time-fractional diffusivity equation via Riemann–Liouville and Caputo derivatives", Waves in Random and Complex Media, 1, 1, 1-22
• "Power option pricing under the unstable conditions (Evidence of power option pricing under fractional Heston model in the Iran gold market)", PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 31, 31, 122690-
• "Exact Solutions and Numerical Simulations of Time-Fractional Fokker-Plank Equation for Special Stochastic Process", Computational Methods for Differential Equations, 1, 1, 258-272, 2021-02-03
• "Numerical approximations for time-fractional Fokker-Planck-Kolmogorov equation of geometric Brownian motion", Journal of Interdisciplinary Mathematics, 4, 4, 1-17
• "Lie group analysis and conservation laws for the time-fractional third order KdV-type equation with a small perturbation parameter", JOURNAL OF GEOMETRY AND PHYSICS, 103830, 103830, 103830-
• "Anisotropic non-linear time-fractional diffusion equation with a source term: Classification via Lie point symmetries, analytic solutions and numerical simulation", APPLIED MATHEMATICS AND COMPUTATION, 125652, 125652, 125652-, 2020-09-13
• "Symmetries, Noether’s theorem, conservation laws and numerical simulation for space-space-fractional generalized Poisson equation", Kragujevac Journal of Mathematics, 5, 5, 713-725, 2023-02-01
• "Stochastic analysis and invariant subspace method for handling option pricing with numerical simulation", Computational Methods for Special Stochastic Process, 1, 1, 1-17
• "Space–time fractional Klein-Gordon equation: Symmetry analysis, conservation laws and numerical approximations", MATHEMATICS AND COMPUTERS IN SIMULATION, 28, 28, 476-497
• "Rindler geodesics: Lie and Hamiltonian symmetries, conservation laws and Hamiltonian equations", Journal of Interdisciplinary Mathematics, 1, 1, 1-11
• "Invariance properties and conservation laws of perturbed fractional wave equation", European Physical Journal Plus, 6, 6, -
• "Group formalism of Lie transformations, conservation laws, exact and numerical solutions of non-linear time-fractional Black–Scholes equation", JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 113863, 113863, 113863-
• "Numerical Solution of Fokker-Planck-Kolmogorov Time Fractional Differential Equations Using Haar Wavelet Method and convergence and error analysis", Iranian Journal of Optimization, 2, 2, 121-131
• "Using particle swarm optimization and genetic algorithms for optimal control of non-linear fractional-order chaotic system of cancer cells", MATHEMATICS AND COMPUTERS IN SIMULATION, 206, 206, 538-560, 2023-04-01
• "Group analysis, invariance results, exact solutions and conservation laws of the perturbed fractional Boussinesq equation", INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 1, 1, -, 2023-01-03
• "Exact solutions of (3+1)-dimensional wave equation via Lie brackets of symmetries", مجله مدل سازی پیشرفته ریاضی, 1, 1, 1-18
• "Numerical Solution of Fokker-Planck-Kolmogorov Time Fractional Differential Equations Using Legendre Wavelet Method Along with convergence and error analysis", مجله مدل سازی پیشرفته ریاضی, 1, 1, 1-23, 2024-02-12
• "Optimal fractional order PID controller performance in chaotic system of HIV disease: particle swarm and genetic algorithms optimization method", Computational Methods for Differential Equations, 1, 1, 1-22
• "Lie symmetry, numerical solution with spectral method and conservation laws of Degasperis–Procesi equation by homotopy and direct methods", International Journal of Modelling and Simulation, 1, 1, 1-16
• "Symmetry analysis, laws of conservation, and numerical and approximate analysis of Burger’s fractional order differential equation", Waves in Random and Complex Media, 1, 1, -
• "Dym equation: group analysis and conservation laws", AUT Journal of Mathematics and Computing, 1, 1, 17-26
• "Presentation of the model and optimal control of non-linear fractional-order chaotic system of glucose–insulin", COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING, 1, 1, 1-13
• "Lie symmetry, chaos optimal control in non-linear fractional-order diabetes mellitus, human immunodeficiency virus, migraine Parkinson’s diseases models: using evolutionary algorithms", COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING, 2, 2, 1-29
• "Lie symmetry analysis, numerical solutions by spectral method and travelling wave solutions of a (5+1)-dimensional partial differential equation", NTERNATIONAL JOURNAL OF MODELLING AND SIMULAT, 2024, 2024, -
• "Analytical and numerical solutions for a special nonlinear equation", International Journal of Financial Engineering, 1, 1, 23500571-235005724, 2024-01-31
• "Modeling and optimal control of nonlinear fractional order chaotic system of factors affecting money laundering: genetic algorithms and particle swarm optimization", APPLIED ECONOMICS, 1, 1, 1-22
• "Exact solutions of (3+1)-dimensional wave equation via Lie brackets of symmetries", Department of Mathematical Sciences, Shahrood university of Technology, 13, 13, 118-143, 2024-02-01
• "Approximate Conservation Laws and Symmetry Operators for Fractional Differential Harry-Dym Equation with a Small Perturbation Parameter", Kragujevac Journal of Mathematics, 5, 5, 801-816
• "(α+2)-Dimensional fractional evolution equation: group classification, symmetries, reduction and conservation laws", International Journal of Modelling and Simulation, 1, 1, -

• "نگاهی به حل دقیق معادله برگر (3+1)-بعدی به کمک آنالیز تقارنی"، شانزدهمین سمینار معادلات دیفرانسیل و سیستمهای دینامیکی، ایران، تبریز، 2022-07-13
• "تقارنهای لی، تبدیلات ناوردا و قوانین پایستگی برای معادله دیفرانسیل باک مستر"، شانزدهمین سمینار معادلات دیفرانسیل و سیستمهای دینامیکی، ایران، تبریز، 2022-07-13
• "تقارن های لی، تبدیلات ناوردا و قوانین پایستگی برای معادله دیفرانسیل باک مستر"، شانزدهمین سمینار معادلات دیفرانسیل و سیستم های دینامیکی، ایران، تبریز، 2022-07-14


• "Solution Classification of Schrodinger Type Equation by Using Potentials", یازدهمین سمینار معادلات دیفرانسیل و سیستمهای دینامیکی, 2010-06-09
• "Symmetries of 2nd and 3rd Order Homogeneous ODEs", هفتمین سمینار هندسه و توپولوژی, 2010-09-06
• "Two Methods For Finding Symmetries of Differential Equations", هفتمین سمینار هندسه و توپولوژی, 2010-09-06
• "Two Methods for Finding Symmetries of Differential Equations", The 7th Seminar on Geometry and Topology, 2010-06-09
• "Symmetries of 2nd and 3rd Order Homogeneous ODEs", The 7th Seminar on Geometry and Topology, 2010-06-09
• "Integration of Ordinary Differential Equations", 12th Seminar on Differential Equations and Dynamical System, 2010-09-06
• "Model Differential Equations and Lie Superposition Principle", 12th Seminar on Differential Equations and Dynamical System, 2010-06-09
• "برخی جوابهای جدید برای معادله برگر", 12th Seminar on Differential Equations and Dynamical System., 2010-09-06
• "Integration of Ordinary Differential Equations via a One-Parameter Symmetry Group", 46th Annual Iranian Mathematics Conference, 2010-06-09
• "Electro Magnetic Field Tensor in Kerr-Newman Geometry", 46th Annual Iranian Mathematics Conference, 2010-09-06
• "Classification of n-th order ODEs under a given symmetry group", 13th International Seminar on Differential Equations, Dynamical Systems and Applications, Iran, Isfahan, 2017-02-07
• "Conservation Laws for the Degasperis-Procesi Equation via the Direct Method", 13th International Seminar on Differential Equations, Dynamical Systems and Applications, Iran, Isfahan, 2017-02-07
• "Similarity Solution of Dym Equation", 13th International Seminar on Differential Equations, Dynamical Systems and Applications, Iran, Isfahan, 2017-02-07
• "Group Analysis and Similarity Solutions of the Buchmaster Equation", 13th International Seminar on Differential Equations, Dynamical Systems and Applications, Isfahan, 2017-07-02
• "Conservation Laws and Similarity Solutions of G-Equation", Iranian Conference on Mathematical Phyiscs, Iran, Qom, 2016-10-11
• "Geometric Study of Wave Equation and Its Applications", Iranian Conference on Mathematical Phyiscs, Iran, Qom, 2016-11-10
• "Group Analysis and Similarity Solution of the Buckmaster Equation", سیزدهمین سمینار بین المللی معادلات دیفرانسیل سیستم های دینامیکی و کاربردها, ایران, اصفهان, 2016-07-13
• "Approximate Symmetries and Conservation Laws of The Van der Pol Equation", Iranian Conference on Mathematical Physics, ایران, قم, 2016-11-03
• "Exact Solutions of Time-Fractional Diffusivity Equation Using Lie Point Symmetry Method", چهل و هشتمین کنفرانس ریاضی ایران, ایران, همدان, 2017-08-22
• "Invariant subspace method and some exact solutions of the time-fractional generalized Hirota-Satsuma coupled KdV system", نهمین سمینار هندسه و توپولوژی, ایران, مراغه, 2017-07-26
• "A geometric approach for finding exact solutions of a kind of time-fractional PDE", نهمین سمینار هندسه و توپولوژی, ایران, مراغه, 2017-07-26
• "Exact Solutions of the time-fractional nonlinear diffusion equation via invariant subspace method", 48th Annual Iranian Mathematics Conference, ایران, همدان, 2017-08-23
• "Classification of the nilpotent Lie algebras over fields of characteristic not 2 up to dimension 5 including their subalgebras", The 9th Seminar on Geometry and Topology, ایران, 2017-07-26
• "Exact solutions of time-fractional super KdV system via Lie symmetry theory", چهاردهمین سمینار ملی معادلات دیفرانسیل، سیستم های دینامیکی و کاربردها, ایران, زنجان, 2018-07-17
• "Lie point symmetries for a class of fractional order integro-differential equations", 14th Seminar on Differential Equations, Dynamical Systems and Applications,, ایران, زنجان, 2018-07-17
• "Lie symmetry analysis and similarity reduction of the time fractional Regularized Long-Wave equation", چهل و نهمین کنفرانس ریاضی ایران, ایران, تهران, 2018-08-23
• "Similarity reduction of a model of time-fractional Fokker-Planck equation", چهارمین سمینار معادلات دیفرانسیل، سیستم های دینامیکی و کاربردها, ایران, زنجان, 2018-07-17
• "Conservation laws and Lie symmetry approach for perturbed differential equations", 49th Annual iranian Mathematics Conference, ایران, تهران, 2018-08-26
• "Power option pricing under fractional double Heston model", چهل و نهمین کنفرانس ریاضی ایران, ایران, تهران, 2019-08-12
• "Reduced forms and group-invariant solutions of Clarke's PDE", The 15th Seminar on Differential Equations and Dynamical Systems, ایران, رشت, 2021-03-06
• "Exact solutions of Boussinesq type equation via invariance properties", The 15th Seminar on Differential Equations and Dynamical Systems, ایران, رشت, 2021-07-03
• "On the invarincae properties of Kelvin waves model", شانزدهمین سمینار معادلات دیفرانسیل و سیستمهای دینامیکی, ایران, تبریز, 2023-01-07
• "EXACT SOLUTIONS BOUSSINESQ EQUATION VIA INVARIANCE PROPERTIES", Differential Equations and Dynamical Systems, ایران, گیلان, 2021-03-07

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