Chebyshev wavelet procedure for solving FLDEs

DOI10.1007/s10440-018-0171-4zbMath1406.65054OpenAlexW2790315580WikidataQ130119964 ScholiaQ130119964MaRDI QIDQ1630558

Mohamed H. Adel, Mohamed M. Khader

Publication date: 10 December 2018

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-018-0171-4

zbMATH Keywords

Chebyshev waveletfractional logistic differential equation

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Approximation by other special function classes (41A30) Fractional ordinary differential equations (34A08)

Related Items

An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the Ebola virus, Numerical approximations to the nonlinear fractional-order logistic population model with fractional-order Bessel and Legendre bases, Existence and uniqueness of time periodic solutions for quantum versions of three-dimensional Schrödinger equations, A comparative study of two Legendre-collocation schemes applied to fractional logistic equation, Numerical approach for solving the Riccati and logistic equations via QLM-rational Legendre collocation method, Numerical solution of the fractional‐order logistic equation via the first‐kind Dickson polynomials and spectral tau method, Implementation of an accurate method for the analysis and simulation of electrical R‐L circuits, A pseudo‐operational collocation method for variable‐order time‐space fractional KdV–Burgers–Kuramoto equation, Solving an inverse nodal problem with Herglotz–Nevanlinna functions in boundary conditions using the second‐kind Chebyshev wavelets method, Unnamed Item, A modified Schrödinger-type identity: uniqueness of solutions for singular boundary value problem for the Schrödinger equation

Cites Work

• Unnamed Item
• Unnamed Item
• Wavelet collocation method for solving multiorder fractional differential equations
• Solving a nonlinear fractional differential equation using Chebyshev wavelets
• Kronecker operational matrices for fractional calculus and some applications
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Exact solution to fractional logistic equation
• A note on the fractional logistic equation
• The logistic map and the route to chaos. From the beginnings to modern applications
• A wavelet operational method for solving fractional partial differential equations numerically
• On the fractional-order logistic equation
• Numerical treatment for solving fractional logistic differential equation
• Chaos