Existence results for hybrid fractional neutral differential equations

Advances in Difference Equations

Mujeeb Ur Rehman¹  Jiang Wei²  Azmat Ullah Khan Niazi²  Du Jun² 

[1] Department of Mathematics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Islamabad, Pakistan;School of Mathematical Sciences, Anhui University, Hefei, China

关键词: hybrid fractional neutral differential equations;    initial value problem;    hybrid fixed point theorem;    34K37;    34B15;   

DOI  :  10.1186/s13662-017-1407-8

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We discuss the existence of solutions of initial value problems for a class of hybrid fractional neutral differential equations. To prove the main results, we use a hybrid fixed point theorem for the sum of three operators. We also derive the dependence of a solution on the initial data and present an example to illustrate the results.

【 授权许可】

CC BY