Latest Research in Fractional Differential Solvers

364 research papers · 0.0 average citations · 2026 median publication year

Top Research Topics in Fractional Differential Solvers

Highest-Cited Papers

  1. A Class of Regularization Schemes for Linear Ill-Posed Problems in Banach Spaces Under Low Order Source Conditions (1 citations)
  2. Synchronization and Averaging in Partially Hyperbolic Systems with Fast and Slow Variables
  3. From Proportional Rectangles to Sampled Analog Root Computation
  4. Existence, Uniqueness, and Numerical Experiments for a Caputo Fractional PDE With Variable‐Exponent Diffusion in Image Denoising
  5. H-RBFs collocation method for solving the Helmholtz equation with variable coefficients
  6. Regularity and Numerical Analysis of Multi‐Term General Fractional Advection‐Diffusion Equations With Scale and Weight Dependencies
  7. Isogeometric C 1 mortar method
  8. Investigation on properties of continuous functions under variable-order fractional integral and its application in joint fire allocation modeling
  9. The Burgers-FKPP advection-reaction-diffusion equation with cut-off
  10. Statistical Modeling of Bifractal Statistics with a Superposition of Characteristic Functionals
  11. Fractional-Order Model for Atmospheric $CO_{2}$ Gas Dynamics and Computational Analysis
  12. An efficient radial basis function-finite difference method for high-order partial differential equations on surfaces
  13. Can one hear the shape of a crack in a drum? Spectral fingerprints and a data-driven perspective
  14. On an inverse boundary problem in elastodynamics
  15. Fractional Boundary Value Problems and elastic sticky Brownian motions, II: Non-local dynamic boundary conditions on smooth domains
  16. An inverse problem for semilinear elliptic equations with generalized Kerr-type nonlinearities
  17. Multifractional Stable Motion with Random Hurst Exponent
  18. Dynamics of Stochastic Hamiltonian systems I - Wong-Zakai Variational integrators
  19. Regularized barycentric Rényi divergences
  20. Sensitivity Calculus and its Numerical Implementation for Multi-D Hyperbolic Balance Laws

Sub-Regions

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
L2 Region - - 2026 Sep Q3

Fractional Differential Solvers

364 papers

Top Topics (10)

Numerical Analysis91
Analysis of PDEs51
Fractional Differential Equations Solutions47
Probability38
Optimization and Control12
Advanced Numerical Methods in Computational Mathematics8
Chaos control and synchronization7
Dynamical Systems7
Statistical Mechanics6
Statistics Theory5

Top Publications (20)

1.A Class of Regularization Schemes for Linear Ill-Posed Problems in Banach Spaces Under Low Order Source Conditions1c2.Synchronization and Averaging in Partially Hyperbolic Systems with Fast and Slow Variables3.From Proportional Rectangles to Sampled Analog Root Computation4.Existence, Uniqueness, and Numerical Experiments for a Caputo Fractional PDE With Variable‐Exponent Diffusion in Image Denoising5.H-RBFs collocation method for solving the Helmholtz equation with variable coefficients6.Regularity and Numerical Analysis of Multi‐Term General Fractional Advection‐Diffusion Equations With Scale and Weight Dependencies7.Isogeometric C 1 mortar method8.Investigation on properties of continuous functions under variable-order fractional integral and its application in joint fire allocation modeling9.The Burgers-FKPP advection-reaction-diffusion equation with cut-off10.Statistical Modeling of Bifractal Statistics with a Superposition of Characteristic Functionals11.Fractional-Order Model for Atmospheric $CO_{2}$ Gas Dynamics and Computational Analysis12.An efficient radial basis function-finite difference method for high-order partial differential equations on surfaces13.Can one hear the shape of a crack in a drum? Spectral fingerprints and a data-driven perspective14.On an inverse boundary problem in elastodynamics15.Fractional Boundary Value Problems and elastic sticky Brownian motions, II: Non-local dynamic boundary conditions on smooth domains16.An inverse problem for semilinear elliptic equations with generalized Kerr-type nonlinearities17.Multifractional Stable Motion with Random Hurst Exponent18.Dynamics of Stochastic Hamiltonian systems I - Wong-Zakai Variational integrators19.Regularized barycentric Rényi divergences20.Sensitivity Calculus and its Numerical Implementation for Multi-D Hyperbolic Balance Laws

Sub-Regions (6)

AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.