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Article Citation - Scopus: 105Solution of fractional differential equations via coupled fixed point(Texas State University - San Marcos, 2015) Afshari,H.; Kalantari,S.; Karapinar,E.In this article, we investigate the existence and uniqueness of a solution for the fractional differential equation by introducing some new coupled fixed point theorems for the class of mixed monotone operators with pertur-bations in the context of partially ordered complete metric space. © 2015 Texas State University - San Marcos.Article Citation - Scopus: 54Fixed Point Results for Generalized Α-Ʋ in Metric-Like Spaces and Applications(Texas State University - San Marcos, 2015) Aydi,H.; Karapinar,E.In this article, we introduce the concept of generalized α- ʋ -con- traction in the context of metric-like spaces and establish some related fixed point theorems. As consequences, we obtain some known fxed point results in the literature. Some examples and an application on two-point boundary value problems for second order differential equation are also considered. © 2015 Texas State University - San Marcos.
