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On Approximate Solutions for Two Higher-Order Caputo-Fabrizio Fractional Integro-Differential Equations

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2017

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Springeropen

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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.

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Aydogan, Melike/0000-0002-4822-9571

Keywords

Approximate Fixed Point, Higher-Order Fractional Differential Equation, Non-Singular Kernel, Caputo-Fabrizio Derivation

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Aydogan, S...et al. (2017) On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations, Advances in Difference Equations.

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83

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CrossRef : 19

Scopus : 100

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Mendeley Readers : 6

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