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Existence Results to Some Damped-Like Fractional Differential Equations
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Existence Results to Some Damped-Like Fractional Differential Equations

Nemat Nyamoradi and Yong Zhou
International journal of nonlinear sciences and numerical simulation, Vol.18(3-4), pp.233-243
01/06/2017
DOI: https://doi.org/10.1515/ijnsns-2016-0093

Abstract

Engineering Engineering, Multidisciplinary Mathematics Mathematics, Applied Mechanics Physical Sciences Physics Physics, Mathematical Science & Technology Technology
In this paper, by using critical point theory and variational methods, we prove the existence of weak solutions for damped-like fractional differential equations. We given some new criteria to distinguish that the fractional boundary value problems have at least one solution. Some examples are also given to illustrate the main results.

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