2017•Mathematical Problems in EngineeringOpen access

Convergence of Variational Iteration Method for Fractional Delay Integrodifferential‐Algebraic Equations

Yayun Fu, Hongliang Liu, Aiguo Xiao

Open full text 3 citations

Abstract

Fractional order delay integrodifferential‐algebraic equations are often used for many practical modeling problems in science and engineering, which have time lag, memory, constraint limit, and so forth. These yield some difficulties in numerical computation. The iterative methods are good choice. In the present paper, we construct variational iteration method for solving them by using the appropriate restricted variation. This overcomes the difficulties caused by limitations of large storage amount and algebraic constraint and extends the previous conclusions.

Open-access reader

About this research paper

What this paper is about

Fractional order delay integrodifferential‐algebraic equations are often used for many practical modeling problems in science and engineering, which have time lag, memory, constraint limit, and so forth. These yield some difficulties in numerical computation. The iterative methods are good choice. In the present paper, we construct variational iteration method for solving them by using the appropriate restricted variation. This overcomes the difficulties caused by limitations of large storage amount and algebraic constraint and extends the previous conclusions.

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Fractional order delay integrodifferential‐algebraic equations are often used for many practical modeling problems in science and engineering, which have time lag, memory, constraint limit, and so forth. These yield some difficulties in numerical computation. The iterative methods are good choice. In the present paper, we construct variational iteration method for solving them by using the appropriate restricted variation. This overcomes the difficulties caused by limitations of large storage amount and algebraic constraint and extends the previous conclusions.

Key concepts: Convergence (economics), Constraint (computer-aided design), Mathematics, Computation, Algebraic number, Applied mathematics, Limit (mathematics), Construct (python library)

Related papers

Back to paper searchBrowse research topicsOriginal source
Convergence of Variational Iteration Method for Fractional Delay Integrodifferential‐Algebraic Equations — Research Paper | ScholarLens