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On the Existence and Uniqueness of Solutions for Local Fractional Differential Equations
Journal article   Open access  Peer reviewed

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

Hossein Jafari, Hassan Kamil Jassim, Maysaa Al Qurashi and Dumitru Baleanu
Entropy (Basel, Switzerland), Vol.18(11), pp.420-420
01/11/2016
DOI: https://doi.org/10.3390/e18110420

Abstract

Physical Sciences Physics Physics, Multidisciplinary Science & Technology
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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https://doi.org/10.3390/e18110420View
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