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Applications of Fractional Calculus in Modern Mathematical Modeling

This special issue belongs to the section “Numerical and Computational Methods“.

Special Issue Information

Keywords

  • fractional calculus
  • fractional differential equations (FDEs)
  • fractional delay differential equations (FDDEs)
  • stochastic fractional delay differential equations (SFDDEs)
  • memory effects
  • fractional partial differential equations (FRDE's)
  • stochastic fractional partial differential equations (SFPDEs)
  • existence and uniqueness of solutions for FDEs
  • stability analysis of FDEs
  • sufficient conditions for solvability of FDEs with multi-point type data
  • uniqueness of solution for FDEs with impulses given by functions with several variables
  • solvability of functional FDES in involving P-Laplacian
  • multiplicity results for singular FDES in biological models
  • numerical methods in fractional calculus
  • biological systems modeling through fractional calculus
  • efficient computational methods to solve fractional differential equations for biological systems
  • control theory
  • mathematical modeling in finance through fractional calculus
  • data-driven approaches through fractional calculus
  • machine learning with fractional operators
  • future research directions and open problems in the application of fractional calculus in mathematical modeling

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Published Papers

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Fractal Fract. - ISSN 2504-3110