Solving a nonlinear fractional differential equation using Chebyshev wavelets

Article Properties
Journal Categories
Science
Mathematics
Science
Physics
Science
Physics
Electricity and magnetism
Electricity
Plasma physics
Ionized gases
Technology
Engineering (General)
Civil engineering (General)
Mechanics of engineering
Applied mechanics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
Title Journal Journal Categories Citations Publication Date
An application of single-term Haar wavelet series in the solution of nonlinear oscillator equations Journal of Computational and Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
19 2009
Solving fractional integral equations by the Haar wavelet method Applied Mathematics and Computation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
69 2009
A wavelet operational method for solving fractional partial differential equations numerically Applied Mathematics and Computation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
70 2009
Numerical solution of nonlinear Volterra–Fredholm integro-differential equations via direct method using triangular functions Computers & Mathematics with Applications
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
62 2009
Analytical solution of a fractional diffusion equation by variational iteration method Computers & Mathematics with Applications
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
143 2009
Citations
Title Journal Journal Categories Citations Publication Date
Numerical solution of fractional PDEs through wavelet approach

Zeitschrift für angewandte Mathematik und Physik
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2024
An efficient numerical scheme for solving a general class of fractional differential equations via fractional-order hybrid Jacobi functions Communications in Nonlinear Science and Numerical Simulation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases
  • Science: Mathematics
  • Science: Mathematics
  • Science: Physics
2024
Comparative study of fractional Newell–Whitehead–Segel equation using optimal auxiliary function method and a novel iterative approach

AIP Advances
  • Science: Physics
  • Technology: Chemical technology
  • Science: Chemistry
  • Science: Physics
  • Technology: Chemical technology
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials
2024
Utilizing Cubic B-Spline Collocation Technique for Solving Linear and Nonlinear Fractional Integro-Differential Equations of Volterra and Fredholm Types

Fractal and Fractional
  • Science: Physics: Heat: Thermodynamics
  • Science: Mathematics: Analysis
  • Science: Mathematics
  • Science: Mathematics
2024
Adapting a new formula to generalize multidimensional transforms

Mathematical Methods in the Applied Sciences
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
Citations Analysis
Category Category Repetition
Science: Mathematics121
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods73
Technology: Engineering (General). Civil engineering (General)35
Science: Physics25
Technology: Mechanical engineering and machinery17
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics16
Science: Mathematics: Instruments and machines: Electronic computers. Computer science14
Science: Science (General)14
Science: Physics: Heat: Thermodynamics8
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics7
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases7
Science: Chemistry6
Science: Mathematics: Analysis6
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software5
Science4
Science: Biology (General)4
Medicine: Medicine (General): Computer applications to medicine. Medical informatics4
Science: Chemistry: Organic chemistry: Biochemistry4
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware3
Technology: Chemical technology3
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials3
Science: Chemistry: General. Including alchemy3
Medicine2
Science: Physics: Acoustics. Sound2
Science: Mathematics: Instruments and machines2
Technology: Manufactures: Production management. Operations management1
Technology: Technology (General): Industrial engineering. Management engineering1
Science: Physics: Optics. Light1
Technology: Mechanical engineering and machinery: Control engineering systems. Automatic machinery (General)1
Technology: Chemical technology: Oils, fats, and waxes: Petroleum refining. Petroleum products1
Science: Geology: Petrology1
Social Sciences: Industries. Land use. Labor: Special industries and trades: Energy industries. Energy policy. Fuel trade1
Science: Geology1
Science: Geology: Mineralogy1
Technology1
Science: Physics: Descriptive and experimental mechanics1
The category Science: Mathematics 121 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A new stochastic approach for solution of Riccati differential equation of fractional order and was published in 2010. The most recent citation comes from a 2024 study titled Utilizing Cubic B-Spline Collocation Technique for Solving Linear and Nonlinear Fractional Integro-Differential Equations of Volterra and Fredholm Types. This article reached its peak citation in 2020, with 32 citations. It has been cited in 89 different journals, 29% of which are open access. Among related journals, the Applied Mathematics and Computation cited this research the most, with 10 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year