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

^*Corresponding author for this work

Department of Mathematics Engineering

Cankaya University
Institute for Space Sciences
Azarbaijan Shahid Madani University
China Medical University Taichung

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

165 Citations (Scopus)

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.

Original language	English
Article number	90
Journal	Boundary Value Problems
Volume	2018
Issue number	1
DOIs	https://doi.org/10.1186/s13661-018-1008-9
Publication status	Published - 1 Dec 2018

Bibliographical note

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

Funding

The third author was supported by Azarbaijan Shahid Madani University.

Funders
Azarbaijan Shahid Madani University

Keywords

Caputo–Fabrizio derivative
Fractional integro-differential equation
High order derivation

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10.1186/s13661-018-1008-9

Cite this

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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.",

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AU - Rezapour, Shahram

PY - 2018/12/1

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KW - Fractional integro-differential equation

KW - High order derivation

UR - https://www.scopus.com/pages/publications/85048198489

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

Abstract

Bibliographical note

Funding

Keywords

Access to Document

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