C3-spline for solution of second order fractional integro-differential equations

S. Mohammadizadeh; J. Rashidinia; R. Ezzati; M. Khumalo

doi:10.1016/j.aej.2020.07.011

C³-spline for solution of second order fractional integro-differential equations

S. Mohammadizadeh, J. Rashidinia, R. Ezzati, M. Khumalo

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

5 Citations (Scopus)

Abstract

We construct the two unique piecewise C³-splines of degree six and eight to approximate the solution of fractional integro-differential equations. Existence and uniqueness of the solution of second order fractional integro-differential equation has been proved. Convergence analysis of the presented methods have been discussed. Illustrative examples are included to demonstrate the validity and applicability of the presented approaches.

Original language	English
Pages (from-to)	3635-3641
Number of pages	7
Journal	AEJ - Alexandria Engineering Journal
Volume	59
Issue number	5
DOIs	https://doi.org/10.1016/j.aej.2020.07.011
Publication status	Published - Oct 2020
Externally published	Yes

Keywords

Existence and uniqueness
Fractional differential equation
Fractional integro-differential equation
Piecewise C-splines

ASJC Scopus subject areas

General Engineering

Access to Document

10.1016/j.aej.2020.07.011

Cite this

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title = "C3-spline for solution of second order fractional integro-differential equations",

abstract = "We construct the two unique piecewise C3-splines of degree six and eight to approximate the solution of fractional integro-differential equations. Existence and uniqueness of the solution of second order fractional integro-differential equation has been proved. Convergence analysis of the presented methods have been discussed. Illustrative examples are included to demonstrate the validity and applicability of the presented approaches.",

keywords = "Existence and uniqueness, Fractional differential equation, Fractional integro-differential equation, Piecewise C-splines",

author = "S. Mohammadizadeh and J. Rashidinia and R. Ezzati and M. Khumalo",

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T1 - C3-spline for solution of second order fractional integro-differential equations

AU - Mohammadizadeh, S.

AU - Rashidinia, J.

AU - Ezzati, R.

AU - Khumalo, M.

PY - 2020/10

Y1 - 2020/10

N2 - We construct the two unique piecewise C3-splines of degree six and eight to approximate the solution of fractional integro-differential equations. Existence and uniqueness of the solution of second order fractional integro-differential equation has been proved. Convergence analysis of the presented methods have been discussed. Illustrative examples are included to demonstrate the validity and applicability of the presented approaches.

AB - We construct the two unique piecewise C3-splines of degree six and eight to approximate the solution of fractional integro-differential equations. Existence and uniqueness of the solution of second order fractional integro-differential equation has been proved. Convergence analysis of the presented methods have been discussed. Illustrative examples are included to demonstrate the validity and applicability of the presented approaches.

KW - Existence and uniqueness

KW - Fractional differential equation

KW - Fractional integro-differential equation

KW - Piecewise C-splines

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DO - 10.1016/j.aej.2020.07.011

M3 - Article

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