World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
46
Citations
9127
World Ranking
1352
National Ranking
11

Overview

Ali Akgül is affiliated with Siirt University in Turkey. Their research primarily spans the fields of Mathematics and Engineering, with a particular focus on modeling and simulation, statistical and nonlinear physics, numerical analysis, biomedical engineering, and mechanical engineering.

The main topics addressed in their work include:

  • Fractional Differential Equations Solutions
  • Nanofluid Flow and Heat Transfer
  • Nonlinear Waves and Solitons
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Heat Transfer Mechanisms
  • Iterative Methods for Nonlinear Equations
  • Differential Equations and Numerical Methods

Ali Akgül has authored numerous papers published in various venues, frequently contributing to journals that specialize in applied mathematics and engineering topics.

Recent notable papers include:

  • "On a Fractional Operator Combining Proportional and Classical Differintegrals," 2020, Mathematics
  • "Analysis of fractal fractional differential equations," 2020, Alexandria Engineering Journal
  • "Modelling and analysis of fractal-fractional partial differential equations: Application to reaction-diffusion model," 2020, Alexandria Engineering Journal
  • "Brownian motion and thermophoretic diffusion impact on Darcy-Forchheimer flow of bioconvective micropolar nanofluid between double disks with Cattaneo-Christov heat flux," 2022, Alexandria Engineering Journal
  • "Size and Shape-Dependent Antimicrobial Activities of Silver and Gold Nanoparticles: A Model Study as Potential Fungicides," 2020, Molecules

Frequent co-authors collaborating with Ali Akgül include:

  • Muhammad Farman
  • Nauman Ahmed
  • Murad Khan Hassani
  • Shabir Ahmad
  • Aqeel Ahmad

The researcher publishes regularly in several specialized venues, with a high number of publications in these journals:

  • Scientific Reports
  • Alexandria Engineering Journal
  • Results in Physics
  • AIMS Mathematics
  • Fractals

Best Publications

  • A novel method for a fractional derivative with non-local and non-singular kernel

    Ali Akgül

  • On a Fractional Operator Combining Proportional and Classical Differintegrals

    Dumitru Baleanu;Arran Fernandez;Ali Akgül

  • Analysis of fractal fractional differential equations

    Abdon Atangana;Ali Akgül;Kolade M. Owolabi

  • Modelling and analysis of fractal-fractional partial differential equations: Application to reaction-diffusion model

    Kolade M. Owolabi;Kolade M. Owolabi;Abdon Atangana;Ali Akgul

  • Can transfer function and Bode diagram be obtained from Sumudu transform

    Abdon Atangana;Abdon Atangana;Ali Akgül

  • Dynamics exploration for a fractional-order delayed zooplankton–phytoplankton system

    Unknown

  • Numerical simulations of nonlinear stochastic Newell-Whitehead-Segel equation and its measurable properties

    Unknown

  • Thermal Radiative Mixed Convection Flow of MHD Maxwell Nanofluid: Implementation of Buongiorno's Model

    Rabia Safdar;Muhammad Jawad;Sajjad Hussain;Muhammad Imran

  • Lyapunov stability and wave analysis of Covid-19 omicron variant of real data with fractional operator

    Unknown

  • Numerical solutions of fractional differential equations of Lane-Emden type by an accurate technique

    Ali Akgül;Esra Karatas;Dumitru Baleanu

  • Effects of hybrid nanofluid on novel fractional model of heat transfer flow between two parallel plates

    Muhammad Danish Ikram;Muhammad Imran Asjad;Ali Akgül;Dumitru Baleanu;Dumitru Baleanu

  • New Perspective on the Conventional Solutions of the Nonlinear Time-Fractional Partial Differential Equations

    Hijaz Ahmad;Ali Akgül;Tufail A. Khan;Predrag S. Stanimirović

  • On Solutions of Fractional-Order Gas Dynamics Equation by Effective Techniques

    Unknown

  • A fractional Newton method with 2αth-order of convergence and its stability

    Ali Akgül;Alicia Cordero;Juan R. Torregrosa

  • New Illustrative Applications of Integral Transforms to Financial Models with Different Fractional Derivatives

    Esra Karatas Akgül;Ali Akgül;Mehmet Yavuz

  • Abundant new analytical and approximate solutions to the generalized Schamel equation

    Behzad Ghanbari;Ali Akgül

  • Modelling and Analysis of a Measles Epidemic Model with the Constant Proportional Caputo Operator

    Unknown

  • Oscillatory and complex behaviour of Caputo-Fabrizio fractional order HIV-1 infection model

    Unknown

  • Construction of optical solitons of Radhakrishnan–Kundu–Lakshmanan equation in birefringent fibers

    Unknown

  • On solutions of fractional Riccati differential equations

    Mehmet Giyas Sakar;Ali Akgül;Dumitru Baleanu

  • Solitary wave solutions of time-space nonlinear fractional Schrödinger’s equation: Two analytical approaches

    Mir Sajjad Hashemi;Ali Akgül

  • Crank-Nicholson difference method and reproducing kernel function for third order fractional differential equations in the sense of Atangana-Baleanu Caputo derivative

    Ali Akgül;Mahmut Modanli

  • Analysis coronavirus disease (COVID-19) model using numerical approaches and logistic model

    Ayub Ahmed;Bashdar Salam;Mahmud Mohammad;Ali Akgül

  • Application of fractional derivative on non-linear biochemical reaction models

    Ali Akgül;SarbazH.A. Khoshnaw

  • On Solutions of Fractional order Telegraph Partial Differential Equation by Crank-Nicholson Finite Difference Method

    Mahmut Modanli;Ali Akgül

  • A Novel Homotopy Perturbation Method with Applications to Nonlinear Fractional Order KdV and Burger Equation with Exponential-Decay Kernel

    Shabir Ahmad;Aman Ullah;Ali Akgül;Manuel De la Sen

  • Modeling the dynamics of novel coronavirus (COVID-19) via stochastic epidemic model

    Ghulam Hussain;Tahir Khan;Amir Khan

Frequent Co-Authors

Dumitru Baleanu
Dumitru Baleanu Lebanese American University
Thabet Abdeljawad
Thabet Abdeljawad Prince Sultan University
Mir Sajjad Hashemi
Mir Sajjad Hashemi University of Bonab
Yasir Khan
Yasir Khan Zhejiang University
Adem Kilicman
Adem Kilicman Universiti Teknologi MARA
Abdon Atangana
Abdon Atangana University of the Free State
Hijaz Ahmad
Hijaz Ahmad Near East University
Jan Awrejcewicz
Jan Awrejcewicz Lodz University of Technology
Kolade M. Owolabi
Kolade M. Owolabi Federal University of Technology Akure
I.S. Yahia
I.S. Yahia King Khalid University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students pursuing a Mathematics degree in the USA, exploring related online degrees can broaden career opportunities. Many choose to complement their math background with a masters degree in marketing, which equips them to analyze market trends and consumer behavior using quantitative skills.

Business-focused professionals might consider enrolling in a one year MBA program to quickly gain management expertise and accelerate career growth. Online options make it easier to balance studies with other commitments.

For those with prior graduate credits, programs that ease credit transfer are highly valuable. Searching for online MBA programs that accept transfer credits can save time and tuition costs, making education more accessible and flexible.

Mathematical skills also align well with emerging fields like data science. Many students pursue a masters data analytics to deepen their ability to interpret complex datasets and drive decision-making in diverse industries.

Best Scientists Citing Ali Akgül

Trending Scientists