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

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Tarih

2017-08-03

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Yayıncı

Springer International Publishing AG

Erişim Hakkı

info:eu-repo/semantics/openAccess

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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.

Açıklama

Anahtar Kelimeler

Approximate fixed point, Higher-order fractional differential equation, Non-singular kernel, Caputo-Fabrizio derivation, Singular kernel, System

Kaynak

Advances In Difference Equations

WoS Q Değeri

Q1

Scopus Q Değeri

Q2

Cilt

2017

Sayı

1

Künye

Aydoğan, S. M., Baleanu, D., Mousalou, A. & Rezapour, S. (2017). On approximate solutions for two higher-order caputo-fabrizio fractional integro-differential equations. Advances in Difference Equations, 2017(1), 1-11. doi:10.1186/s13662-017-1258-3