On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations

S. Melike Aydogan; Dumitru Baleanu; Asef Mousalou; Shahram Rezapour

doi:10.1186/s13662-017-1258-3

On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations

S. Melike Aydogan, Dumitru Baleanu^*, Asef Mousalou, Shahram Rezapour

^*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

100 Atıf (Scopus)

Özet

We investigate the existence of solutions for two high-order fractional differential equations including the Caputo-Fabrizio derivative. In this way, we introduce some new tools for obtaining solutions for the high-order equations. Also, we discuss two illustrative examples to confirm the reported results. In this way one gets the possibility of utilizing some continuous or discontinuous mappings as coefficients in the fractional differential equations of higher order.

Orijinal dil	İngilizce
Makale numarası	221
Dergi	Advances in Difference Equations
Hacim	2017
Basın numarası	1
DOI'lar	https://doi.org/10.1186/s13662-017-1258-3
Yayın durumu	Yayınlandı - 1 Ara 2017
Harici olarak yayınlandı	Evet

Bibliyografik not

Publisher Copyright:
© 2017, The Author(s).

Finansman

Research of the third and fourth authors was supported by Azarbaijan Shahid Madani University. The authors express their gratitude to the referees for their helpful suggestions.

Finansörler	Finansör numarası
Azarbaijan Shahid Madani University

Belgeye Erişim

10.1186/s13662-017-1258-3

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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abstract = "We investigate the existence of solutions for two high-order fractional differential equations including the Caputo-Fabrizio derivative. In this way, we introduce some new tools for obtaining solutions for the high-order equations. Also, we discuss two illustrative examples to confirm the reported results. In this way one gets the possibility of utilizing some continuous or discontinuous mappings as coefficients in the fractional differential equations of higher order.",

keywords = "Caputo-Fabrizio derivation, approximate fixed point, higher-order fractional differential equation, non-singular kernel",

author = "Aydogan, {S. Melike} and Dumitru Baleanu and Asef Mousalou and Shahram Rezapour",

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AU - Aydogan, S. Melike

AU - Baleanu, Dumitru

AU - Mousalou, Asef

AU - Rezapour, Shahram

PY - 2017/12/1

Y1 - 2017/12/1

N2 - We investigate the existence of solutions for two high-order fractional differential equations including the Caputo-Fabrizio derivative. In this way, we introduce some new tools for obtaining solutions for the high-order equations. Also, we discuss two illustrative examples to confirm the reported results. In this way one gets the possibility of utilizing some continuous or discontinuous mappings as coefficients in the fractional differential equations of higher order.

AB - We investigate the existence of solutions for two high-order fractional differential equations including the Caputo-Fabrizio derivative. In this way, we introduce some new tools for obtaining solutions for the high-order equations. Also, we discuss two illustrative examples to confirm the reported results. In this way one gets the possibility of utilizing some continuous or discontinuous mappings as coefficients in the fractional differential equations of higher order.

KW - Caputo-Fabrizio derivation

KW - approximate fixed point

KW - higher-order fractional differential equation

KW - non-singular kernel

UR - http://www.scopus.com/inward/record.url?scp=85026913199&partnerID=8YFLogxK

U2 - 10.1186/s13662-017-1258-3

DO - 10.1186/s13662-017-1258-3

M3 - Article

AN - SCOPUS:85026913199

SN - 1687-1839

VL - 2017

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 221

ER -

On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap