Numerical solutions for linear and non-linear fractional differential equations

Ramzi B. Albadarneh; Mohammad Zerqat; Iqbal M. Batiha

doi:10.12732/ijpam.v106i3.12

Numerical solutions for linear and non-linear fractional differential equations

Ramzi B. Albadarneh
, Mohammad Zerqat
, Iqbal M. Batiha

Hashemite University
Al al-Bayt University

Research output: Contribution to journal › Article › peer-review

30 Scopus citations

Abstract

In this paper, a new numerical technique to solve linear and nonlinear fractional differential equations of order 0 < α < 1 in sense of Caputo's definition is proposed. The efficiency of this technique will be illustrated by solving several examples of linear and nonlinear fractional differential equations of order 0 < α < 1.

Original language	English
Pages (from-to)	859-871
Number of pages	13
Journal	International Journal of Pure and Applied Mathematics
Volume	106
Issue number	3
DOIs	https://doi.org/10.12732/ijpam.v106i3.12
State	Published - 2016
Externally published	Yes

Keywords

Composite trapezoidal rule
Finite difference formulas
Linear fractional differential equation
Nonlinear fractional differential equation
Numerical solutions

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10.12732/ijpam.v106i3.12

Cite this

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title = "Numerical solutions for linear and non-linear fractional differential equations",

abstract = "In this paper, a new numerical technique to solve linear and nonlinear fractional differential equations of order 0 < α < 1 in sense of Caputo's definition is proposed. The efficiency of this technique will be illustrated by solving several examples of linear and nonlinear fractional differential equations of order 0 < α < 1.",

keywords = "Composite trapezoidal rule, Finite difference formulas, Linear fractional differential equation, Nonlinear fractional differential equation, Numerical solutions",

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year = "2016",

doi = "10.12732/ijpam.v106i3.12",

language = "English",

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T1 - Numerical solutions for linear and non-linear fractional differential equations

AU - Albadarneh, Ramzi B.

AU - Zerqat, Mohammad

AU - Batiha, Iqbal M.

PY - 2016

Y1 - 2016

N2 - In this paper, a new numerical technique to solve linear and nonlinear fractional differential equations of order 0 < α < 1 in sense of Caputo's definition is proposed. The efficiency of this technique will be illustrated by solving several examples of linear and nonlinear fractional differential equations of order 0 < α < 1.

AB - In this paper, a new numerical technique to solve linear and nonlinear fractional differential equations of order 0 < α < 1 in sense of Caputo's definition is proposed. The efficiency of this technique will be illustrated by solving several examples of linear and nonlinear fractional differential equations of order 0 < α < 1.

KW - Composite trapezoidal rule

KW - Finite difference formulas

KW - Linear fractional differential equation

KW - Nonlinear fractional differential equation

KW - Numerical solutions

UR - https://www.scopus.com/pages/publications/84959280866

U2 - 10.12732/ijpam.v106i3.12

DO - 10.12732/ijpam.v106i3.12

M3 - Article

AN - SCOPUS:84959280866

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VL - 106

SP - 859

EP - 871

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

IS - 3

ER -

Numerical solutions for linear and non-linear fractional differential equations

Abstract

Keywords

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