Fixed-Point Theorems for Systems of Operator Equations and Their Applications to the Fractional Differential Equations

Autor:	Lishan Liu, Xinqiu Zhang, Yumei Zou
Rok vydání:	2018
Předmět:	Sequence Article Subject lcsh:Mathematics 010102 general mathematics Banach space Fixed-point theorem lcsh:QA1-939 01 natural sciences 010101 applied mathematics Nonlinear system Operator (computer programming) Monotone polygon Applied mathematics Uniqueness 0101 mathematics Analysis Complement (set theory) Mathematics
Zdroj:	Journal of Function Spaces, Vol 2018 (2018)
ISSN:	2314-8888 2314-8896
DOI:	10.1155/2018/7469868
Popis:	We study the existence and uniqueness of positive solution for a class of nonlinear binary operator equations systems by means of the cone theory and monotone iterative technique, under more general conditions. Also, we give the iterative sequence of the solution and the error estimation of the system. Moreover, we use this new result to study the existence and uniqueness of the solutions for fractional differential equations systems involving integral boundary value conditions in ordered Banach spaces as an application. The results obtained in this paper are more general than many previous results and complement them.
Databáze:	OpenAIRE
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