Existence of a Positive Solution for a Boundary Value Problem of some Nonlinear Fractional Differential Equation

	Existence of a Positive Solution for a Boundary Value Problem of some Nonlinear Fractional Differential Equation
International Journal of Nonlinear Analysis and Applications
دوره 11، شماره 2، اسفند 2020، صفحه 499-514 اصل مقاله (136.05 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.17970.1977
نویسنده
Lilia Zenkoufi^*
Department of Mathematics, University 8 May 1945 Guelma, Algeria
چکیده
In this paper we will study the existence, uniqueness and positivity of solution of a boundary value problem for nonlinear fractional differential equation, by using Leray-Schauder nonlinear alternative, Banach contraction and Guo-Krasnosel'skii fixed point theorems.
کلیدواژه‌ها
Fractional differential equations؛ Fixed point theorem؛ Guo-Krasnosel'skii theorem؛ Leray-Schauder nonlinear alternative؛ Banach contraction theorem؛ Existence؛ uniqueness؛ Positive solution
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