On the Existence and Multiplicity of Solutions for Dirichlet’s Problem for Fractional Differential Equations
نویسندگان
چکیده
In this paper, by using variational methods and critical point theorems, we prove the existence and multiplicity of solutions for boundary value problem for fractional order differential equations where RiemannLiouville fractional derivatives and Caputo fractional derivatives are used. Our results extend the second order boundary value problem to the non integer case. Moreover, some conditions to determinate nonnegative solutions are presented and examples are given to illustrate our results. MSC 2010 : Primary 34A08; Secondary 58E30, 26A33, 35A15
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