Geodesic
Existence results for fractional impulsive integro-differential equations with integral conditions of Katugampola type
P. Karthikeyan1 ; K. Venkatachalam1 ; Syed Abbas2 ; P. Karthikeyan ; K. Venkatachalam ; Syed Abbas
1Department of Mathematics, Sri Vasavi College, Erode, TN, India
2School of Basic Science, Indian Institute of Technology Mandi, H.P., India
Acta mathematica Universitatis Comenianae, Tome 90 (2021) no. 4, pp. 421-436 
P. Karthikeyan; K. Venkatachalam; Syed Abbas; P. Karthikeyan; K. Venkatachalam; Syed Abbas. Existence results for fractional impulsive integro-differential equations with integral conditions of Katugampola type. Acta mathematica Universitatis Comenianae, Tome 90 (2021) no. 4, pp. 421-436. http://geodesic.mathdoc.fr/item/AMUC_2021_90_4_a4/
@article{AMUC_2021_90_4_a4,
     author = {P. Karthikeyan and K. Venkatachalam and Syed Abbas and P. Karthikeyan and K. Venkatachalam and Syed Abbas},
     title = { Existence results for fractional impulsive integro-differential equations with integral conditions of {Katugampola} type},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {421--436},
     year = {2021},
     volume = {90},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2021_90_4_a4/}
}
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Voir la notice de l'article provenant de la source Comenius University

We study the existence and uniqueness of solutions of impulsive fractional integro-differential equations of order $\alpha_{1} \in (2,3]$ with the Katugampola integral boundary conditions. Krasnoselkii's fixed point theorem and Banach contraction principle are used to prove the existence and uniqueness results. An example is also presented at the end.