TY - JOUR
T1 - Existence analysis on multi-derivative nonlinear fractional neutral impulsive integro-differential equations
AU - Nisar, Kottakkaran Sooppy
AU - Al-Shartab, Muhannad Ibrahim
AU - Alshammari, Fahad Sameer
N1 - Publisher Copyright:
© 2024 The Author(s)
PY - 2024/9
Y1 - 2024/9
N2 - This article utilizes the Atangana–Baleanu (AB) fractional derivative to examine the behavior of multi-derivative fractional neutral impulsive integro-differential equations under non-local conditions. To demonstrate the existence, uniqueness, and controllability of the solutions, we utilize fixed point theory as our primary analytical tool. Furthermore, we include a detailed example to illustrate and validate the theoretical results obtained from our study.
AB - This article utilizes the Atangana–Baleanu (AB) fractional derivative to examine the behavior of multi-derivative fractional neutral impulsive integro-differential equations under non-local conditions. To demonstrate the existence, uniqueness, and controllability of the solutions, we utilize fixed point theory as our primary analytical tool. Furthermore, we include a detailed example to illustrate and validate the theoretical results obtained from our study.
KW - Atangana–Baleanu derivative
KW - Controllability
KW - Fixed point theory
KW - Fractional calculus
KW - Gronwall–Bellman inequality
UR - http://www.scopus.com/inward/record.url?scp=85200003659&partnerID=8YFLogxK
U2 - 10.1016/j.padiff.2024.100839
DO - 10.1016/j.padiff.2024.100839
M3 - Article
AN - SCOPUS:85200003659
SN - 2666-8181
VL - 11
JO - Partial Differential Equations in Applied Mathematics
JF - Partial Differential Equations in Applied Mathematics
M1 - 100839
ER -