Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations

Authors:	Xinguang Zhang Yuefeng Han

Affiliation:	^a School of Mathematical and Informational Sciences, Yantai University, Yantai 264005, Shandong, People’s Republic of China ^b College of International Economics and Trade, Jilin University of Finance and Economics, Changchun 130117, Jilin, People’s Republic of China

Abstract:	By means of a monotone iterative technique, we establish the existence and uniqueness of the positive solutions for a class of higher conjugate-type fractional differential equation with one nonlocal term. In addition, the iterative sequences of solution and error estimation are also given. In particular, this model comes from economics, financial mathematics and other applied sciences, since the initial value of the iterative sequence can begin from an known function, this is simpler and helpful for computation.

Keywords:	Monotone iterative technique Fractional differential equation Existence and uniqueness Positive solution
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