%0 Journal Article
%T Almost $\alpha$-$F$-contraction, fixed points and applications
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Kumar, Deepak
%A Tomar, Anita
%A Chandok, Sumit
%A Ritu, Sharma
%D 2021
%\ 11/01/2021
%V 12
%N 2
%P 375-386
%! Almost $\alpha$-$F$-contraction, fixed points and applications
%K $alpha$-admissible
%K $0$-complete fixed point
%K $F$-contraction
%K Partial metric space
%R 10.22075/ijnaa.2021.21717.2290
%X In this manuscript, we initiate an almost $\alpha$-$F$-contraction and an almost $\alpha$-$F$- weak contraction in the setting of partial metric spaces and establish adequate conditions for the presence of fixed points. The obtained results generalize the classical and recent results of the literature, which are validated by suitable examples. As applications of these established results, we solve a nonlinear fractional differential equation and a boundary value problem.
%U https://ijnaa.semnan.ac.ir/article_5048_0329cd76b0fd9e6bfdefd3990a6aab7d.pdf