Karapınar, ErdalKarapinar, ErdalAbdeljawad, ThabetAbdeljawad, ThabetJarad, FahdJarad, Fahd2019-12-252019-12-252019Karapınar, Erdal; Abdeljawad, Thabet; Jarad, Fahd, "Applying new fixed point theorems on fractional and ordinary differential equations", Advances in Difference Equations, Vol. 2019, No. 1, (October 2019).1687-1847https://doi.org/10.1186/s13662-019-2354-3In this paper, we consider a fixed point theorem that extends and unifies several existing results in the literature. We apply the proven fixed point results on the existence of solution of ordinary boundary value problems and fractional boundary value problems with integral type boundary conditions in the frame of some Caputo type fractional operators.eninfo:eu-repo/semantics/openAccessFractional Differential EquationsOdeGeneralized Alpha-H-Upsilon-ContractionsWeakly Contractive MappingsArticle2019110.1186/s13662-019-2354-32-s2.0-85073378410WOS:000488971200001Q1N/A