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Esmail Babolian

Esmail Babolian

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Mathematics
Iran
2023

D-Index & Metrics

Mathematics

D-Index
49
Citations
7554
World Ranking
1163
National Ranking
11

Research.com Recognitions

  • 2023 - Research.com Mathematics in Iran Leader Award

Overview

Esmail Babolian is affiliated with Kharazmi University in Iran and focuses primarily on research in the field of Mathematics. Their work spans several subfields, including Modeling and Simulation, Numerical Analysis, Finance, Public Health, Environmental and Occupational Health, and Applied Mathematics.

The main topics covered by Babolian's research include:

  • Fractional Differential Equations Solutions
  • Iterative Methods for Nonlinear Equations
  • Stochastic processes and financial applications
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Advanced Thermodynamics and Statistical Mechanics
  • Nonlinear Dynamics and Pattern Formation
  • Nonlinear Differential Equations Analysis

Recent papers authored or co-authored by Babolian reflect a focus on numerical methods and fractional differential equations. Publications include:

  • "An iterative shifted Chebyshev method for nonlinear stochastic Itô-Volterra integral equations," 2020, Journal of Computational and Applied Mathematics
  • "A Numerical Method for Solving Stochastic Volterra-Fredholm Integral Equation," 2023, Iranian Journal of Mathematical Sciences and Informatics
  • "An efficient collocation method with convergence rates based on Müntz spaces for solving nonlinear fractional two-point boundary value problems," 2020, Computational and Applied Mathematics
  • "An improved model along with a spectral numerical simulation for fractional predator-prey interactions," 2021, Engineering With Computers
  • "A numerical method based on hybrid functions for solving a fractional model of HIV infection of CD4⁺ T cells," 2022, Mathematical sciences

Babolian frequently collaborates with several co-authors, among them:

  • A. R. Vahidi
  • M. S. Barikbin
  • T. Damercheli
  • N. Momenzade
  • Nader Biranvand

In terms of publication venues, the scientist has contributed to:

  • Iranian Journal of Mathematical Sciences and Informatics
  • Journal of Computational and Applied Mathematics
  • Engineering With Computers
  • Mathematical sciences
  • Computational and Applied Mathematics

Best Publications

  • Numerical solution of differential equations by using Chebyshev wavelet operational matrix of integration

    Esmail Babolian;F. Fattahzadeh

  • Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets

    E. Babolian;A. Shahsavaran

  • Solution of the system of ordinary differential equations by Adomian decomposition method

    J. Biazar;E. Babolian;R. Islam

  • Numerical solution of nonlinear Volterra-Fredholm integro-differential equations via direct method using triangular functions

    E. Babolian;Z. Masouri;S. Hatamzadeh-Varmazyar

  • On the order of convergence of Adomian method

    E. Babolian;J. Biazar

  • The decomposition method applied to systems of Fredholm integral equations of the second kind

    E. Babolian;J. Biazar;A. R. Vahidi

  • Solution of nonlinear equations by modified adomian decomposition method

    E. Babolian;J. Biazar

  • A new operational matrix based on Bernoulli wavelets for solving fractional delay differential equations

    P. Rahimkhani;Y. Ordokhani;E. Babolian

  • Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet

    P. Rahimkhani;Y. Ordokhani;E. Babolian

  • A Direct Method for Numerically Solving Integral Equations System Using Orthogonal Triangular Functions

    E Babolian;Z. Masouri;S. Hatamzadeh-Varmazyar

  • NEW DIRECT METHOD TO SOLVE NONLINEAR VOLTERRA-FREDHOLM INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS USING OPERATIONAL MATRIX WITH BLOCK-PULSE FUNCTIONS

    Esmail Babolian;Zahra Masouri;Saeed Hatamzadeh-Varmazyar

  • Numerical solution of linear Fredholm fuzzy integral equations of the second kind by Adomian method

    E. Babolian;H.Sadeghi Goghary;S. Abbasbandy

  • An alternate algorithm for computing Adomian polynomials in special cases

    J. Biazar;E. Babolian;G. Kember;A. Nouri

  • NUMERICAL METHOD FOR SOLVING LINEAR FREDHOLM FUZZY INTEGRAL EQUATIONS OF THE SECOND KIND

    S. Abbasbandy;E. Babolian;M. Alavi

  • Direct method to solve Volterra integral equation of the first kind using operational matrix with block-pulse functions

    E. Babolian;Z. Masouri

  • Numerical solutions of the nonlinear Volterra–Fredholm integral equations by using homotopy perturbation method

    M. Ghasemi;M. Tavassoli Kajani;Esmail Babolian

  • Solution of a system of Volterra integral equations of the first kind by Adomian method

    J. Biazar;E. Babolian;R. Islam

  • Fractional-order Bernoulli wavelets and their applications

    P. Rahimkhani;Y. Ordokhani;E. Babolian

  • An expansion-iterative method for numerically solving Volterra integral equation of the first kind

    Z. Masouri;E. Babolian;S. Hatamzadeh-Varmazyar

  • Numerical Approach to Survey the Problem of Electromagnetic Scattering from Resistive Strips Based on Using a Set of Orthogonal Basis Functions

    Saeed Hatamzadeh-Varmazyar;Mohammad Naser-Moghadasi;Esmail Babolian;Zahra Masouri

Frequent Co-Authors

Saeid Abbasbandy
Saeid Abbasbandy Imam Khomeini International University
Jafar Biazar
Jafar Biazar University of Guilan
Yadollah Ordokhani
Yadollah Ordokhani Alzahra University
Delfim F. M. Torres
Delfim F. M. Torres University of Aveiro
Hossein Jafari
Hossein Jafari University of South Africa
Khosrow Maleknejad
Khosrow Maleknejad Iran University of Science and Technology
Mehdi Dehghan
Mehdi Dehghan Amirkabir University of Technology
Dumitru Baleanu
Dumitru Baleanu Lebanese American University
Adem Kilicman
Adem Kilicman Universiti Teknologi MARA
Mohammad Naser-Moghadasi
Mohammad Naser-Moghadasi Islamic Azad University, Tehran

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