Solution of fractional oscillator equations using ultraspherical wavelets
DOI10.1142/S0219887819500750zbMath1420.65074OpenAlexW2921584158WikidataQ128221861 ScholiaQ128221861MaRDI QIDQ5232437
Rustam Abass, Firdous Ahmad Shah
Publication date: 3 September 2019
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219887819500750
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)
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Cites Work
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- New ultraspherical wavelets collocation method for solving \(2\)nth-order initial and boundary value problems
- An integral operational matrix based on Jacobi polynomials for solving fractional-order differential equations
- Numerical approach for solving fractional relaxation-oscillation equation
- Numerical solution of fractional differential equations using cubic B-spline wavelet collocation method
- Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
- Block pulse operational matrix method for solving fractional partial differential equation
- Solutions of a fractional oscillator by using differential transform method
- Bernoulli wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
- New ultraspherical wavelets spectral solutions for fractional Riccati differential equations
- Numerical solution of fractional differential equations using Haar wavelet operational matrix method
- Analytical approach to linear fractional partial differential equations arising in fluid mechanics
- Haar wavelets. With applications
- Wavelet Transforms and Their Applications
- GEGENBAUER WAVELETS OPERATIONAL MATRIX METHOD FOR FRACTIONAL DIFFERENTIAL EQUATIONS
- Series solutions of a fractional oscillator by means of the homotopy perturbation method
- Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
- Haar wavelet method for solving lumped and distributed-parameter systems
- Lecture Notes on Wavelet Transforms
- Application of the modified differential transform method to fractional oscillators