Three positive solutions of Sturm-Liouville boundary value problems for fractional differential equations
نویسندگان
چکیده
منابع مشابه
Three Positive Solutions of Sturm–liouville Boundary Value Problems for Fractional Differential Equations
We establish the results on the existence of three positive solutions to Sturm-Liouville boundary value problems of the singular fractional differential equation with the nonlinearity depending on D 0+u ⎪⎨ ⎪⎩ D0+u(t)+ f (t,u(t),D μ 0+ u(t)) = 0, t ∈ (0,1),1 < α < 2, a limt→0 I2−α 0+ u(t)−b limt→0 [ I2−α 0+ u(t) ]′ = ∫ 1 0 g(s,u(s),D μ 0+u(s))ds, c D 0+u(1)+du(1) = ∫ 1 0 h(s,u(s),D μ 0+u(s))ds. ...
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Abstract. The Sturm-Liouville boundary value problem of the multi-order fractional differential equation is studied. Results on the existence of solutions are established. The analysis relies on a weighted function space and a fixed point theorem. An example is given to illustrate the efficiency of the main theorems.
متن کاملStudies on Sturm-Liouville boundary value problems for multi-term fractional differential equations
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In this paper, based on variational methods and critical point theory, we guarantee the existence of infinitely many classical solutions for a two-point boundary value problem with fourth-order Sturm-Liouville equation; Some recent results are improved and by presenting one example, we ensure the applicability of our results.
متن کاملstudies on sturm-liouville boundary value problems for multi-term fractional differential equations
abstract. the sturm-liouville boundary value problem of the multi-order fractional differential equation is studied. results on the existence of solutions are established. the analysis relies on a weighted function space and a fixed point theorem. an example is given to illustrate the efficiency of the main theorems.
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ژورنال
عنوان ژورنال: Differential Equations & Applications
سال: 2013
ISSN: 1847-120X
DOI: 10.7153/dea-05-09