The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w -distances

Advances in Difference Equations

Wutiphol Sintunavarat¹  Teerawat Wongyat¹ 

[1] Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani, Thailand

关键词: w-distance;    altering distance function;    nonlinear Fredholm integral equation;    nonlinear Volterra integral equation;    nonlinear fractional differential equation;    47H10;    54H25;   

DOI  :  10.1186/s13662-017-1267-2

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this work, we establish new fixed point theorems for w-generalized weak contraction mappings with respect to w-distances in complete metric spaces by using the concept of an altering distance function. As an application, we use the obtained results to aggregate the existence and uniqueness of the solution for nonlinear Fredholm integral equations and Volterra integral equations together with nonlinear fractional differential equations of Caputo type.

【 授权许可】

CC BY