Existence of mild solution of Atangana–Baleanu fractional differential equations with non-instantaneous impulses and with non-local conditions. (March 2020)

• Record Type: Journal Article
• Authors: Kumar, Ashish; Pandey, Dwijendra N.
• Is Part Of: Chaos, solitons and fractals. Volume 132(2020)
• Publication Date: 2020-03
• Subjects: Atangana–Baleanu derivative -- Fractional differential equations -- Fixed point theorems; 58C30 -- 34A08 -- 34K37; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2019.109551
• Languages: English
• ISSNs: 0960-0779

Abstract

Abstract: The main objective of this article is to provide the set of sufficient conditions for the existence of mild solution of Atangana–Baleanu fractional differential system with non-instantaneous impulses. Results are obtained via non-compactness of the semigroup and fixed point theory. In the end, an example is given to justify the theoretical results.