Shifted Jacobi polynomials for nonlinear singular variable-order time fractional Emden-Fowler equation generated by derivative with non-singular kernel
DOI10.1186/s13662-021-03349-1zbMath1494.35158OpenAlexW3164799144MaRDI QIDQ2166904
Mohammad Heydari, Abdon Atangana, Zakieh Avazzadeh
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03349-1
operational matricesshifted Jacobi polynomialsvariable-order time fractional derivativesingular time fractional Emden-Fowler equation
Fractional derivatives and integrals (26A33) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
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Cites Work
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- A modified homotopy perturbation method for singular time dependent Emden-Fowler equations with boundary conditions
- A Jacobi-Jacobi dual-Petrov-Galerkin method for third- and fifth-order differential equations
- Solutions of time-dependent Emden-Fowler type equations by homotopy-perturbation method
- A method based on the Jacobi tau approximation for solving multi-term time-space fractional partial differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- A spectral framework for fractional variational problems based on fractional Jacobi functions
- Solving fractional differential equations of variable-order involving operators with Mittag-Leffler kernel using artificial neural networks
- Numerical solution of linear/nonlinear fractional order differential equations using Jacobi operational matrix
- Novel numerical method for solving variable-order fractional differential equations with power, exponential and Mittag-Leffler laws
- A new study on the mathematical modelling of human liver with Caputo-Fabrizio fractional derivative
- A cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana-Baleanu-Caputo derivative
- Chebyshev cardinal functions for a new class of nonlinear optimal control problems generated by Atangana-Baleanu-Caputo variable-order fractional derivative
- A new adaptive synchronization and hyperchaos control of a biological snap oscillator
- A new fractional HRSV model and its optimal control: a non-singular operator approach
- A numerical solution for a variable-order reaction-diffusion model by using fractional derivatives with non-local and non-singular kernel
- Non validity of index law in fractional calculus: a fractional differential operator with Markovian and non-Markovian properties
- Haar wavelet collocation method for solving singular and nonlinear fractional time-dependent Emden-Fowler equations with initial and boundary conditions
- New aspects of time fractional optimal control problems within operators with nonsingular kernel
- Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag-Leffler non-singular kernel
- Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag-Leffler non-singular kernel
- Optimal control problem for variable-order fractional differential systems with time delay involving Atangana-Baleanu derivatives
- Jacobi collocation methods for solving generalized space-fractional Burgers' equations
- Shifted fractional Jacobi spectral algorithm for solving distributed order time-fractional reaction-diffusion equations
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