Open AccessNon-instantaneous impulsive fractional-order delay differential systems with Mittag-Leffler kernel
Author(s) -
V. Kavitha,
M. Mallika Arjunan,
Dumitru Băleanu
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022519
Subject(s) - mathematics , lipschitz continuity , semigroup , kernel (algebra) , nonlinear system , mathematical analysis , measure (data warehouse) , constraint (computer aided design) , banach space , order (exchange) , compact space , fractional calculus , pure mathematics , computer science , physics , geometry , finance , quantum mechanics , database , economics
The existence of fractional-order functional differential equations with non-instantaneous impulses within the Mittag-Leffler kernel is examined in this manuscript. Non-instantaneous impulses are involved in such equations and the solution semigroup is not compact in Banach spaces. We suppose that the nonlinear term fulfills a non-compactness measure criterion and a local growth constraint. We further assume that non-instantaneous impulsive functions satisfy specific Lipschitz criteria. Finally, an example is given to justify the theoretical results.