An efficient method for solving systems of linear ordinary and fractional differential equations

DOI10.1007/s40840-014-0060-6zbMath1326.65087OpenAlexW1161196830MaRDI QIDQ745958

Mohsen Didgar, Nafiseh Ahmadi

Publication date: 15 October 2015

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-014-0060-6

zbMATH Keywords

numerical examplesTaylor expansionVolterra integral equationssystem of ordinary differential equationsRiemann-Liouville fractional derivativesystem of fractional differential equations

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Fractional ordinary differential equations (34A08)

Related Items

Fractional Integro-Differential Equations Involving $\psi$-Hilfer Fractional Derivative ⋮ An Approximate Approach for Systems of Singular Volterra Integral Equations Based on Taylor Expansion ⋮ Fractional differential equations with mixed boundary conditions ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

• A note on the fractional-order Chen system
• On systems of linear fractional differential equations with constant coefficients
• Fractional differential equations as alternative models to nonlinear differential equations
• A new method for determining the solution of Riccati differential equations
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractals and fractional calculus in continuum mechanics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Analysis of a system of fractional differential equations
• Approximate solution of linear ordinary differential equations with variable coefficients
• Chaotic dynamics and synchronization of fractional-order Arneodo's systems
• Synchronization of two coupled fractional-order chaotic oscillators
• On a system of differential equations with fractional derivatives arising in rod theory
• On the Fractional Calculus Model of Viscoelastic Behavior
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item