On high order fractional integro-differential equations including the Caputo–Fabrizio derivative

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

doi:10.1186/s13661-018-1008-9

On high order fractional integro-differential equations including the Caputo–Fabrizio derivative

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

^*Bu çalışma için yazışmadan sorumlu yazar

Matematik Bölümü

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

164 Atıf (Scopus)

Özet

By using the fractional Caputo–Fabrizio derivative, we introduce two types new high order derivations called CFD and DCF. Also, we study the existence of solutions for two such type high order fractional integro-differential equations. We illustrate our results by providing two examples.

Orijinal dil	İngilizce
Makale numarası	90
Dergi	Boundary Value Problems
Hacim	2018
Basın numarası	1
DOI'lar	https://doi.org/10.1186/s13661-018-1008-9
Yayın durumu	Yayınlandı - 1 Ara 2018

Bibliyografik not

Publisher Copyright:
© 2018, The Author(s).

Finansman

The third author was supported by Azarbaijan Shahid Madani University.

Finansörler	Finansör numarası
Azarbaijan Shahid Madani University

Belgeye Erişim

10.1186/s13661-018-1008-9

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "On high order fractional integro-differential equations including the Caputo–Fabrizio derivative",

abstract = "By using the fractional Caputo–Fabrizio derivative, we introduce two types new high order derivations called CFD and DCF. Also, we study the existence of solutions for two such type high order fractional integro-differential equations. We illustrate our results by providing two examples.",

keywords = "Caputo–Fabrizio derivative, Fractional integro-differential equation, High order derivation",

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

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doi = "10.1186/s13661-018-1008-9",

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AU - Aydogan, Melike S.

AU - Baleanu, Dumitru

AU - Mousalou, Asef

AU - Rezapour, Shahram

PY - 2018/12/1

Y1 - 2018/12/1

N2 - By using the fractional Caputo–Fabrizio derivative, we introduce two types new high order derivations called CFD and DCF. Also, we study the existence of solutions for two such type high order fractional integro-differential equations. We illustrate our results by providing two examples.

AB - By using the fractional Caputo–Fabrizio derivative, we introduce two types new high order derivations called CFD and DCF. Also, we study the existence of solutions for two such type high order fractional integro-differential equations. We illustrate our results by providing two examples.

KW - Caputo–Fabrizio derivative

KW - Fractional integro-differential equation

KW - High order derivation

UR - http://www.scopus.com/inward/record.url?scp=85048198489&partnerID=8YFLogxK

U2 - 10.1186/s13661-018-1008-9

DO - 10.1186/s13661-018-1008-9

M3 - Article

AN - SCOPUS:85048198489

SN - 1687-2762

VL - 2018

JO - Boundary Value Problems

JF - Boundary Value Problems

IS - 1

M1 - 90

ER -

On high order fractional integro-differential equations including the Caputo–Fabrizio derivative

Özet

Bibliyografik not

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap