%0 Journal Article
%T Initial value problems for nonlinear Caputo fractional relaxation differential equations
%J Khayyam Journal of Mathematics
%I Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures)
%Z 2423-4788
%A Lachouri, Adel
%A Ardjouni, Abdelouaheb
%A Djoudi, Ahcene
%D 2022
%\ 01/01/2022
%V 8
%N 1
%P 85-93
%! Initial value problems for nonlinear Caputo fractional relaxation differential equations
%K Fixed points
%K fractional relaxation differential equations
%K Mittag-Leffler
%K existence
%K uniqueness
%R 10.22034/kjm.2021.229343.1817
%X The main purpose of this paper is to establish the existence and uniqueness of solutions for a class of fractional relaxation differential equations. Existence and uniqueness results are based on the Krasnoselskii fixed point theorem and the Banach contraction mapping principle. Finally, an example is given to illustrate this work.
%U https://www.kjm-math.org/article_144162_400a3b982004f69162765306642fd13f.pdf