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Eigenvalue intervals for nonlocal fractional order differential equations involving derivatives

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In this paper, we firstly consider the nonlocal fractional order differential equations involving derivatives. By means of a fixed-point theorem on a cone, the eigenvalue intervals of the above problem… Click to show full abstract

In this paper, we firstly consider the nonlocal fractional order differential equations involving derivatives. By means of a fixed-point theorem on a cone, the eigenvalue intervals of the above problem are established. Then by using a fixed point theorem for operators on a cone, we establish sufficient conditions for the existence of multiple (at least three) positive solutions to the nonlocal boundary value problem.

Keywords: involving derivatives; fractional order; nonlocal fractional; differential equations; equations involving; order differential

Journal Title: Journal of Applied Mathematics and Computing
Year Published: 2017

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