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

^*Corresponding author for this work

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

96 Citations (Scopus)

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.

Original language	English
Article number	221
Journal	Advances in Difference Equations
Volume	2017
Issue number	1
DOIs	https://doi.org/10.1186/s13662-017-1258-3
Publication status	Published - 1 Dec 2017
Externally published	Yes

Bibliographical note

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

Funding

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.

Funders	Funder number
Azarbaijan Shahid Madani University

Keywords

Caputo-Fabrizio derivation
approximate fixed point
higher-order fractional differential equation
non-singular kernel

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10.1186/s13662-017-1258-3

Cite this

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AU - Rezapour, Shahram

PY - 2017/12/1

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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.

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KW - approximate fixed point

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KW - non-singular kernel

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

Abstract

Bibliographical note

Funding

Keywords

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