An efficient method for solving fractional Ricatti equations

M. Motawi Khashan; Muhammed I. Syam

doi:10.1186/s13662-019-2225-y

An efficient method for solving fractional Ricatti equations

M. Motawi Khashan, Muhammed I. Syam

Department of Mathematical Sciences

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

Abstract

In this article, we present a method to approximate the solution of a fractional Ricatti equation based on the ABFD in the Caputo sense. The proposed method depends on the fractional operational matrix of the fractional derivative. We present two examples. The results show the agreement between the exact and the approximate solutions with different choices of γ. Form the numerical results; we see that the proposed method give accurate results.

Original language	English
Article number	288
Journal	Advances in Difference Equations
Volume	2019
Issue number	1
DOIs	https://doi.org/10.1186/s13662-019-2225-y
Publication status	Published - Dec 1 2019

Keywords

ABFD
Fractional Legendre functions
Fractional Ricatti equation

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Applied Mathematics

Access to Document

10.1186/s13662-019-2225-y

Cite this

@article{b963bbf78656401aba17bdf575878207,

title = "An efficient method for solving fractional Ricatti equations",

abstract = "In this article, we present a method to approximate the solution of a fractional Ricatti equation based on the ABFD in the Caputo sense. The proposed method depends on the fractional operational matrix of the fractional derivative. We present two examples. The results show the agreement between the exact and the approximate solutions with different choices of γ. Form the numerical results; we see that the proposed method give accurate results.",

keywords = "ABFD, Fractional Legendre functions, Fractional Ricatti equation",

author = "Khashan, {M. Motawi} and Syam, {Muhammed I.}",

note = "Funding Information: The authors would like to extend their sincere appreciation to the Deanship of Scientific Research, King Saud University for its funding through Research Unit of Common First Year Deanship. Publisher Copyright: {\textcopyright} 2019, The Author(s).",

year = "2019",

month = dec,

day = "1",

doi = "10.1186/s13662-019-2225-y",

language = "English",

volume = "2019",

journal = "Advances in Difference Equations",

issn = "1687-1839",

publisher = "Springer Publishing Company",

number = "1",

}

TY - JOUR

T1 - An efficient method for solving fractional Ricatti equations

AU - Khashan, M. Motawi

AU - Syam, Muhammed I.

N1 - Funding Information: The authors would like to extend their sincere appreciation to the Deanship of Scientific Research, King Saud University for its funding through Research Unit of Common First Year Deanship. Publisher Copyright: © 2019, The Author(s).

PY - 2019/12/1

Y1 - 2019/12/1

N2 - In this article, we present a method to approximate the solution of a fractional Ricatti equation based on the ABFD in the Caputo sense. The proposed method depends on the fractional operational matrix of the fractional derivative. We present two examples. The results show the agreement between the exact and the approximate solutions with different choices of γ. Form the numerical results; we see that the proposed method give accurate results.

AB - In this article, we present a method to approximate the solution of a fractional Ricatti equation based on the ABFD in the Caputo sense. The proposed method depends on the fractional operational matrix of the fractional derivative. We present two examples. The results show the agreement between the exact and the approximate solutions with different choices of γ. Form the numerical results; we see that the proposed method give accurate results.

KW - ABFD

KW - Fractional Legendre functions

KW - Fractional Ricatti equation

UR - http://www.scopus.com/inward/record.url?scp=85069040698&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85069040698&partnerID=8YFLogxK

U2 - 10.1186/s13662-019-2225-y

DO - 10.1186/s13662-019-2225-y

M3 - Article

AN - SCOPUS:85069040698

SN - 1687-1839

VL - 2019

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 288

ER -

An efficient method for solving fractional Ricatti equations

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this