New numerical algorithm to solve variable-order fractional integrodifferential equations in the sense of Hilfer-Prabhakar derivative
DOI10.1155/2021/8817794zbMath1474.65384OpenAlexW3130156647MaRDI QIDQ2657247
Publication date: 12 March 2021
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/8817794
Integro-ordinary differential equations (45J05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11) Functional-differential equations with fractional derivatives (34K37)
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- Hilfer-Prabhakar derivatives and some applications
- An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations
- Exponentially accurate spectral and spectral element methods for fractional ODEs
- A finite difference technique for solving variable-order fractional integro-differential equations
- Numerical solution for a class of nonlinear variable order fractional differential equations with Legendre wavelets
- Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations
- Numerical methods of solutions of boundary value problems for the multi-term variable-distributed order diffusion equation
- Numerical simulation for two-dimensional variable-order fractional nonlinear cable equation
- Fractals and fractional calculus in continuum mechanics
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Two shifted Jacobi-Gauss collocation schemes for solving two-dimensional variable-order fractional Rayleigh-Stokes problem
- A new direct method based on the Chebyshev cardinal functions for variable-order fractional optimal control problems
- Numerical algorithm to solve a class of variable order fractional integral-differential equation based on Chebyshev polynomials
- The Lorenzo-Hartley's function for fractional calculus and its applications pertaining to fractional order modelling of anomalous relaxation in dielectrics
- Numerical study of nonlinear 2D optimal control problems with multi-term variable-order fractional derivatives in the Atangana-Baleanu-Caputo sense
- Operational matrix for Atangana-Baleanu derivative based on Genocchi polynomials for solving FDEs
- A complex valued approach to the solutions of Riemann-Liouville integral, Atangana-Baleanu integral operator and non-linear telegraph equation via fixed point method
- New numerical method and application to Keller-Segel model with fractional order derivative
- Prabhakar-like fractional viscoelasticity
- The Prabhakar or three parameter Mittag-Leffler function: theory and application
- Models of dielectric relaxation based on completely monotone functions
- A computational approach for the solution of a class of variable-order fractional integro-differential equations with weakly singular kernels
- Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: what could possibly go wrong?
- Operational Matrix Method for Solving Variable OrderFractional Integro-differential Equations
- Generalized mittag-leffler function and generalized fractional calculus operators
- Fractional Diffusion--Telegraph Equations and Their Associated Stochastic Solutions
- Spectral technique for solving variable‐order fractional Volterra integro‐differential equations
- Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives
- The solitary waves, quasi-periodic waves and integrability of a generalized fifth-order Korteweg-de Vries equation
- Approximate solutions for solving nonlinear variable-order fractional Riccati differential equations
- Response functions in linear viscoelastic constitutive equations and related fractional operators
- Advances in Fractional Calculus
- Mittag-Leffler Functions, Related Topics and Applications
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