APPLICATIONS OF BI-FRAMELET SYSTEMS FOR SOLVING FRACTIONAL ORDER DIFFERENTIAL EQUATIONS
From MaRDI portal
Publication:5025625
DOI10.1142/S0218348X20400514zbMath1482.65107OpenAlexW3021735062MaRDI QIDQ5025625
Publication date: 2 February 2022
Published in: Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218348x20400514
fractional differential equationsquasi-affine systembi-framelet systemsmixed oblique extension principle
Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)
Related Items
Implicit Riesz wavelets based-method for solving singular fractional integro-differential equations with applications to hematopoietic stem cell modeling, On the dynamical modeling of COVID-19 involving Atangana-Baleanu fractional derivative and based on Daubechies framelet simulations, Fractional nonlinear Volterra-Fredholm integral equations involving Atangana-Baleanu fractional derivative: framelet applications, Characteristics of lump-kink and their fission-fusion interactions, rogue, and breather wave solutions for a (3+1)-dimensional generalized shallow water equation, The dynamics of COVID-19 in the UAE based on fractional derivative modeling using Riesz wavelets simulation, Analytical method for solving the fractional order generalized KdV equation by a beta-fractional derivative, A numerical method for solving Fredholm integral equations of the first kind with logarithmic kernels and singular unknown functions, Bernoulli wavelet method for numerical solution of anomalous infiltration and diffusion modeling by nonlinear fractional differential equations of variable order
Cites Work
- A new formula for fractional integrals of Chebyshev polynomials: application for solving multi-term fractional differential equations
- Comparing the Atangana-Baleanu and Caputo-Fabrizio derivative with fractional order: Allen Cahn model
- On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
- Error estimate of the series solution to a class of nonlinear fractional differential equations
- Adomian decomposition method for solving fractional nonlinear differential equations
- Signaling problem for time-fractional diffusion-wave equation in a half-space in the case of angular symmetry
- Numerical approach to differential equations of fractional order
- Analytical solution of a fractional diffusion equation by variational iteration method
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
- Affine systems in \(L_2(\mathbb{R}^d)\). II: Dual systems
- Numerical solution of fractional order differential equations by extrapolation
- Framelets and wavelets. Algorithms, analysis, and applications
- Compactly supported tight and sibling frames with maximum vanishing moments
- Framelets: MRA-based constructions of wavelet frames
- Long memory processes and fractional integration in econometrics
- Fractional derivatives with no-index law property: application to chaos and statistics
- A numerical solution for a variable-order reaction-diffusion model by using fractional derivatives with non-local and non-singular kernel
- Numerical methods for nonlinear partial differential equations of fractional order
- Numerical solution of Volterra integral and integro-differential equations of convolution type by using operational matrices of piecewise constant orthogonal functions
- Finite difference approximations for two-sided space-fractional partial differential equations
- On the new fractional derivative and application to nonlinear Baggs and Freedman model
- Painless nonorthogonal expansions
- Frames, bases and group representations
- Numerical Computation of a Fractional Derivative with Non-Local and Non-Singular Kernel
- Numerical approximation of Riemann‐Liouville definition of fractional derivative: From Riemann‐Liouville to Atangana‐Baleanu
- The Haar wavelets operational matrix of integration
- Some noises withI/fspectrum, a bridge between direct current and white noise
- A Class of Nonharmonic Fourier Series
- An introduction to frames and Riesz bases
- Mathematical justification of a nonlinear integro-differential equation for the propagation of spherical flames