An efficient numerical approach to solve a class of variable‐order fractional integro‐partial differential equations
DOI10.1002/num.22546OpenAlexW3090803656WikidataQ115397785 ScholiaQ115397785MaRDI QIDQ6088472
Seddigheh Banihashemi, Afshin Babaei, Carlo Cattani
Publication date: 14 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22546
convergence analysisfinite difference schemeintegro-partial differential equationsinc-collocation methodvariable-order fractional derivative
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Volterra integral equations (45D05) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)
Related Items (1)
Cites Work
- Unnamed Item
- New findings on the dynamics of HIV and TB coinfection models
- Application of sinc-collocation method for solving a class of nonlinear Fredholm integral equations
- Fractional calculus in viscoelasticity: an experimental study
- Fractional differentiation for edge detection
- Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind
- Shannon wavelets theory
- Double exponential formulas for numerical integration
- Upscaling chemical reactions in multicontinuum systems: when might time fractional equations work?
- On the solutions of a nonlinear fractional integro-differential equation of pantograph type
- Variable order and distributed order fractional operators
- Error estimates with explicit constants for sinc approximation, sinc quadrature and sinc indefinite integration
- Extended algorithms for approximating variable order fractional derivatives with applications
- Numerical solutions of time-fractional partial integrodifferential equations of Robin functions types in Hilbert space with error bounds and error estimates
- Fractional calculus in image processing: a review
- Numerical solution of initial value problems based on the double exponential transformation
- Fractional calculus and Sinc methods
- Constitutive Dynamic-Order Model for Nonlinear Contact Phenomena
- Mechanics with variable-order differential operators
- Fractional integration operator for numerical solution of the integro-partial time fractional diffusion heat equation with weakly singular kernel
- Integration and differentiation to a variable fractional order
- Fractional pseudo-spectral methods for distributed-order fractional PDEs
- B‐spline solution of fractional integro partial differential equation with a weakly singular kernel
- Fractional Calculus
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: An efficient numerical approach to solve a class of variable‐order fractional integro‐partial differential equations
