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On the Existence and Uniqueness of Solutions for Local Fractional Differential Equations

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2016

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Matematik
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Abstract

In this manuscript, we prove the existence and uniqueness of solutions for local fractional differential equations (LFDEs) with local fractional derivative operators (LFDOs). By using the contracting mapping theorem (CMT) and increasing and decreasing theorem (IDT), existence and uniqueness results are obtained. Some examples are presented to illustrate the validity of our results.

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Jafari, Hossein/0000-0001-6807-6675

Keywords

Existence And Uniqueness Solutions, Local Fractional Differential Equations, Contracting Mapping Theorem, Local Fractional Operators

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Baleanu, D...[et.al.]. (2016). On the Existence and Uniqueness of Solutions for Local Fractional Differential Equations. Entropy, 18(11). http://dx.doi.org/10.3390/e18110420

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18

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11

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