Application of measure of noncompactness on integral equations involving generalized proportional fractional and Caputo-Fabrizio fractional integrals
Filomat, Tome 36 (2022) no. 17, p. 5885
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Using Petryshyn's fixed point theorem, we show the existence of solution to fractional integral equations, including generalized proportional and Caputo–Fabrizio fractional integrals. We also use appropriate examples to support our findings.
Classification :
45G05, 47H08, 47H09, 47H10
Keywords: Functional integral equations, Measure of non-compactness, Fixed point theorem
Keywords: Functional integral equations, Measure of non-compactness, Fixed point theorem
Anupam Das; Bipan Hazarika; Vahid Parvanah; Nihar Kumar Mahato. Application of measure of noncompactness on integral equations involving generalized proportional fractional and Caputo-Fabrizio fractional integrals. Filomat, Tome 36 (2022) no. 17, p. 5885 . doi: 10.2298/FIL2217885D
@article{10_2298_FIL2217885D,
author = {Anupam Das and Bipan Hazarika and Vahid Parvanah and Nihar Kumar Mahato},
title = {Application of measure of noncompactness on integral equations involving generalized proportional fractional and {Caputo-Fabrizio} fractional integrals},
journal = {Filomat},
pages = {5885 },
year = {2022},
volume = {36},
number = {17},
doi = {10.2298/FIL2217885D},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2217885D/}
}
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%0 Journal Article %A Anupam Das %A Bipan Hazarika %A Vahid Parvanah %A Nihar Kumar Mahato %T Application of measure of noncompactness on integral equations involving generalized proportional fractional and Caputo-Fabrizio fractional integrals %J Filomat %D 2022 %P 5885 %V 36 %N 17 %U http://geodesic.mathdoc.fr/articles/10.2298/FIL2217885D/ %R 10.2298/FIL2217885D %G en %F 10_2298_FIL2217885D
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