Exact and numerical solutions of time-fractional advection–diffusion equation with a nonlinear source term by means of the Lie symmetries-Reference-Cited by-同舟云学术

Exact and numerical solutions of time-fractional advection–diffusion equation with a nonlinear source term by means of the Lie symmetries

Published:2018-01-22 Issue:2 Volume:92 Page:543-555
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Jannelli Alessandra,Ruggieri Marianna,Speciale Maria Paola

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Link

http://link.springer.com/article/10.1007/s11071-018-4074-8/fulltext.html

Reference55 articles.

1. North-Holland Mathematics Studies;AA Kilbas,2006

2. Samko, S., Kilbas, A.A., Marichev, O.: Fractional Integrals and Derivatives. Taylor and Francis, London (1993)

3. Podlubny, I.: Fractional Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, Some Methods of Their Solution and Some of Their Applications. Academic Press, San Diego (1999)

4. Miller, K.S., Ross, B.: An Introduction to the Fractional Calculus and Fractional Differential Equations. Wiley, New York (1993)

5. Daftardar-Geji, V., Jafari, H.: Adomian decomposition: a tool for solving a system of fractional differential equations. J. Math. Anal. Appl. 301, 508–518 (2005)

Cited by 32 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Asymptotic expansion method with respect to a small parameter for fractional differential equations with Riemann–Liouville derivate;Communications in Nonlinear Science and Numerical Simulation;2024-11

2. Initial‐boundary value and interface problems on the real half line for the fractional advection–diffusion‐type equation;Mathematical Methods in the Applied Sciences;2024-02-15

3. A multipole fast asymptotic algorithm for a class of equations based on the flow function method with fractional order Laplace transform;Thermal Science;2024

4. An efficient numerical scheme and its analysis for the multiterm time‐fractional convection‐diffusion‐reaction equation;Mathematical Methods in the Applied Sciences;2023-06-24

5. Lie symmetry group, exact solutions and conservation laws for multi-term time fractional differential equations;AIMS Mathematics;2023