The asymptotic solutions of two-term linear fractional differential equations via Laplace transform

DOI10.1016/j.matcom.2023.04.010OpenAlexW4366265297MaRDI QIDQ6108204

Yuyu Li, Tongke Wang, Guang-hua Gao

Publication date: 29 June 2023

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2023.04.010

zbMATH Keywords

Laplace transformCaputo fractional derivativeLegendre collocation methodBagley-Torvik equationasymptotic expansion at infinitytwo-term fractional differential equationseries solution about origin

Mathematics Subject Classification ID

Ordinary differential equations (34-XX) Partial differential equations (35-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The asymptotics of the solutions to the anomalous diffusion equations
• Numerical calculations accuracy comparison of the inverse Laplace transform algorithms for solutions of fractional order differential equations
• A method for solving differential equations of fractional order
• Application of numerical inverse Laplace transform algorithms in fractional calculus
• Efficient Chebyshev spectral methods for solving multi-term fractional orders differential equations
• Laplace transform and fractional differential equations
• A Chebyshev spectral method based on operational matrix for initial and boundary value problems of fractional order
• Stability properties of two-term fractional differential equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• An approximate method for numerical solution of fractional differential equations
• Laplace transform for solving some families of fractional differential equations and its applications
• Asymptotic behavior of solutions of linear multi-order fractional differential systems
• An algorithm for the inversion of Laplace transforms using Puiseux expansions
• Stability analysis of multi-term fractional-differential equations with three fractional derivatives
• Long time numerical behaviors of fractional pantograph equations
• Stability analysis of spline collocation methods for fractional differential equations
• Existence and convergence of Puiseux series solutions for autonomous first order differential equations
• A transformed \(L 1\) method for solving the multi-term time-fractional diffusion problem
• The asymptotic approximations to linear weakly singular Volterra integral equations via Laplace transform
• Analysis of fractional partial differential equations by Taylor series expansion
• Analytical solution of the linear fractional differential equation by Adomian decomposition method
• Spectral Methods
• On the Appearance of the Fractional Derivative in the Behavior of Real Materials
• On the asymptotic integration of a class of sublinear fractional differential equations
• Asymptotic Solutions of Linear Volterra Integral Equations With Singular Kernels
• ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
• A numerical‐analytical solution of multi‐term fractional‐order differential equations
• Asymptotic solutions of fractional interval differential equations with nonsingular kernel derivative

This page was built for publication: The asymptotic solutions of two-term linear fractional differential equations via Laplace transform