Solving Fractional Differential Equations via Fixed Points of Chatterjea Maps

作     者：Nawab Hussain Saud M.Alsulami Hind Alamri 

作者机构：Department of MathematicsKing Abdulaziz UniversityP.O.Box 80203Jeddah21589Saudi Arabia Department of MathematicsCollege of ScienceTaif UniversityP.O.Box 11099Taif21944Saudi Arabia 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2023年第135卷第6期

页      面：2617-2648页

核心收录：

学科分类：07[理学] 0804[工学-仪器科学与技术] 070102[理学-计算数学] 0701[理学-数学] 

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

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 ***,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 *** also establish certain interesting examples to illustrate the usability of our results.