Existence of positive solutions for a class of conformable fractional\n differential equations with integral boundary conditions and a parameter

2019/01/28 by Faouzi Haddouchi, Haddouchi, Faouzi
Mathematics · #34A08 #34B18 #35J05 #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1901.09996

openalex publication_date 2019/01/28 · openalex created_date 2022/07/30 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the existence of positive solutions for a class of\nconformable fractional differential equations with integral boundary\nconditions. By using the properties of the Green's function and the fixed point\ntheorem in a cone, we obtain some existence results of positive solution. we\nalso provide some examples to illustrate our results.\n

Citations

• A New Fractional Derivative with Classical Properties
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

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