Existence of solutions of non-autonomous fractional differential equations with integral impulse condition

Advances in Difference Equations

article

Kumar, Ashish¹  Chauhan, Harsh Vardhan Singh²  Ravichandran, Chokkalingam³  Nisar, Kottakkaran Sooppy⁴  Baleanu, Dumitru⁵ 

[1] Department of Mathematics, Government PG College;Department of Mathematics, University of Delhi;Post Graduate and Research Department of Mathematics, Kongunadu Arts and Science College (Autonomous);Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University;Department of Mathematics, Cankaya University;Institute of Space Sciences;Department of Medical Research, China Medical University Hospital, China Medical University

关键词: Functional-differential equations with fractional derivatives;    Non-autonomous evolution equation;    Fixed point theorems;   

DOI  :  10.1186/s13662-020-02888-3

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate the existence of solution of non-autonomous fractional differential equations with integral impulse condition by the measure of non-compactness (MNC), fixed point theorems, and k-set contraction. The obtained results are verified via a supporting example.

【 授权许可】

CC BY