Solving Fractional Differential Equations via Fixed Points of Chatterjea Maps  

作　　者：Nawab Hussain Saud M.Alsulami Hind Alamri 

机构地区：[1]Department of Mathematics,King Abdulaziz University,P.O.Box 80203,Jeddah,21589,Saudi Arabia [2]Department of Mathematics,College of Science,Taif University,P.O.Box 11099,Taif,21944,Saudi Arabia

出　　处：《Computer Modeling in Engineering & Sciences》2023年第6期2617-2648,共32页工程与科学中的计算机建模（英文）

摘　　要：In this paper,we present the existence and uniqueness of fixed points and common fixed points for Reich and Chatterjea pairs of self-maps in complete metric spaces.Furthermore,we study fixed point theorems for Reich and Chatterjea nonexpansive mappings in a Banach space using the Krasnoselskii-Ishikawa iteration method associated withSλand consider some applications of our results to prove the existence of solutions for nonlinear integral and nonlinear fractional differential equations.We also establish certain interesting examples to illustrate the usability of our results.

关 键 词：Common fixed points Reich and Chatterjea mappings Krasnoselskii-Ishikawa iteration complete metric space Banach space integral equation nonlinear fractional differential equation 

分 类 号：O241.82[理学—计算数学]