Stability results on non-instantaneous impulsive fractional integro-differential equations with multipoint boundary conditions
Filomat, Tome 37 (2023) no. 19, p. 6603
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The Ulam-Hyers stability for non-instantaneous impulsive fractional integro-differential equations in a Banach space with Caputo-Katugampola fractional derivative is the main focus of this paper. The Krasnoselskii fixed point theorem and the contraction principle play a role in establishing sufficient conditions for existence and uniqueness results. An application is also shown.
Classification :
34K37, 34A12, 34K20
Keywords: Caputo-Katugampola fractional derivative, Non-instantaneous impulsive, Fixed point, Ulam-Hyers stability
Keywords: Caputo-Katugampola fractional derivative, Non-instantaneous impulsive, Fixed point, Ulam-Hyers stability
P Karthikeyan; K Venkatachalam; Syed Abbas. Stability results on non-instantaneous impulsive fractional integro-differential equations with multipoint boundary conditions. Filomat, Tome 37 (2023) no. 19, p. 6603 . doi: 10.2298/FIL2319603K
@article{10_2298_FIL2319603K,
author = {P Karthikeyan and K Venkatachalam and Syed Abbas},
title = {Stability results on non-instantaneous impulsive fractional integro-differential equations with multipoint boundary conditions},
journal = {Filomat},
pages = {6603 },
year = {2023},
volume = {37},
number = {19},
doi = {10.2298/FIL2319603K},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2319603K/}
}
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