Geodesic
Compactness of boundary value problems for impulsive integro-differential equation
Filomat, Tome 37 (2023) no. 20, p. 6855

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DOI

In this paper, we establish sufficient conditions to show the compactness of solution set of boundary value problems for impulsive integro-differential equation using ψ-Hilfer fractional operator in a appropriate Banach space. The method we use to show our result is based on fixed point theorems for Meir-Keeler condensing operators via measure of non-compactness, an example is presented to illustrate our method.
DOI : 10.2298/FIL2320855B
Classification : 26A33, 34A60, 34A08
Keywords: Measure of non-compactness, Meir-Keeler condensing operators, Banach space, fixed point theorems 
Moustafa Beddani; Hamid Beddani. Compactness of boundary value problems for impulsive integro-differential equation. Filomat, Tome 37 (2023) no. 20, p. 6855 . doi: 10.2298/FIL2320855B
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     title = {Compactness of boundary value problems for impulsive integro-differential equation},
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     year = {2023},
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     doi = {10.2298/FIL2320855B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2320855B/}
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