TY - JOUR ID - 144162 TI - Initial value problems for nonlinear Caputo fractional relaxation differential equations JO - Khayyam Journal of Mathematics JA - KJM LA - en SN - AU - Lachouri, Adel AU - Ardjouni, Abdelouaheb AU - Djoudi, Ahcene AD - Department of Mathematics, University of Annaba, P.O. Box 12, Annaba 23000, Algeria AD - Department of Mathematics and Informatics, University of Souk Ahras, P.O. Box 1553, Souk Ahras, 41000, Algeria. AD - Department of Mathematics, University of Annaba, P.O. Box 12, Annaba, 23000, Algeria Y1 - 2022 PY - 2022 VL - 8 IS - 1 SP - 85 EP - 93 KW - Fixed points KW - fractional relaxation differential equations KW - Mittag-Leffler KW - existence KW - uniqueness DO - 10.22034/kjm.2021.229343.1817 N2 - 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. UR - https://www.kjm-math.org/article_144162.html L1 - https://www.kjm-math.org/article_144162_400a3b982004f69162765306642fd13f.pdf ER -