Determination of a Nonlinear Coefficient in a Time-Fractional Diffusion Equation

Article Properties
  • Language
    English
  • DOI (url)
    10.3390/fractalfract7050371
  • Publication Date
    2023/04/29
  • Journal
    Fractal and Fractional
  • Indian UGC (journal)
  • Refrences
    60
  • Citations
    1
  • Mustafa Zeki College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait ORCID (unauthenticated)
  • Ramazan Tinaztepe Department of Basic Sciences, Deanship of Preparatory Year and Supporting Studies, Imam Abdulrahman bin Faisal University, Dammam 34212, KSA, Saudi Arabia
  • Salih Tatar Department of Mathematics and Computer Science, College of Science and General Studies, Alfaisal University, Riyadh 11533, KSA, Saudi Arabia
  • Suleyman Ulusoy Department of Mathematics and Natural Sciences, Faculty of Arts and Sciences, American University of Ras Al Khaimah, Ras al Khaimah 63920, United Arab Emirates ORCID (unauthenticated)
  • Rami Al-Hajj College of Engineering and Technology, American University of the Middle East, Egaila 54200, Kuwait ORCID (unauthenticated)
Abstract
Cite
Zeki, Mustafa, et al. “Determination of a Nonlinear Coefficient in a Time-Fractional Diffusion Equation”. Fractal and Fractional, vol. 7, no. 5, 2023, p. 371, https://doi.org/10.3390/fractalfract7050371.
Zeki, M., Tinaztepe, R., Tatar, S., Ulusoy, S., & Al-Hajj, R. (2023). Determination of a Nonlinear Coefficient in a Time-Fractional Diffusion Equation. Fractal and Fractional, 7(5), 371. https://doi.org/10.3390/fractalfract7050371
Zeki, Mustafa, Ramazan Tinaztepe, Salih Tatar, Suleyman Ulusoy, and Rami Al-Hajj. “Determination of a Nonlinear Coefficient in a Time-Fractional Diffusion Equation”. Fractal and Fractional 7, no. 5 (2023): 371. https://doi.org/10.3390/fractalfract7050371.
Zeki M, Tinaztepe R, Tatar S, Ulusoy S, Al-Hajj R. Determination of a Nonlinear Coefficient in a Time-Fractional Diffusion Equation. Fractal and Fractional. 2023;7(5):371.
Journal Categories
Science
Mathematics
Science
Mathematics
Analysis
Science
Physics
Heat
Thermodynamics
Refrences
Title Journal Journal Categories Citations Publication Date
A time-fractional HIV infection model with nonlinear diffusion Results in Physics
  • Science: Chemistry
  • Science: Physics
  • Technology: Chemical technology
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials
  • Science: Physics
 5 2021
Tikhonov regularization method for a backward problem for the inhomogeneous time-fractional diffusion equation Applicable Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 25 2018
Numerical Solutions of Direct and Inverse Problems for a Time Fractional Viscoelastoplastic Equation 2017
Analysis of Direct and Inverse Problems for a Fractional Elastoplasticity Model 2017
An inverse problem for a nonlinear diffusion equation with time-fractional derivative

 Journal of Inverse and Ill-posed Problems
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 8 2017
Refrences Analysis
Category Category Repetition
Science: Physics22
Science: Mathematics21
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods18
Technology: Engineering (General). Civil engineering (General)5
Technology: Hydraulic engineering: River, lake, and water-supply engineering (General)3
Science: Chemistry: Physical and theoretical chemistry3
Technology: Chemical technology3
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials3
Technology: Chemical technology: Chemical engineering2
Science: Chemistry2
Science: Geology1
Technology: Environmental technology. Sanitary engineering1
Science: Biology (General): Ecology1
Science: Mathematics: Instruments and machines: Electronic computers. Computer science1
The category Science: Physics 22 is the most frequently represented among the references in this article. It primarily includes studies from Inverse Problems and Applicable Analysis. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
Parameter Estimation for Nonlinear Diffusion Problems by the Constrained Homotopy Method

 Mathematics
  • Science: Mathematics
  • Science: Mathematics
 5 2023
Citations Analysis
Category Category Repetition
Science: Mathematics1
The category Science: Mathematics 1 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Parameter Estimation for Nonlinear Diffusion Problems by the Constrained Homotopy Method and was published in 2023. The most recent citation comes from a 2023 study titled Parameter Estimation for Nonlinear Diffusion Problems by the Constrained Homotopy Method. This article reached its peak citation in 2023, with 1 citations. It has been cited in 1 different journals, 100% of which are open access. Among related journals, the Mathematics cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year