Geodesic
Addressing impulsive fractional integro-differential equations with Caputo-Fabrizio via monotone iterative technique in Banach spaces
Filomat, Tome 37 (2023) no. 14, p. 4761

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DOI

In this paper, we investigate the existence of solutions for initial value problem of the impulsive integro-differential for fractional differential equations involving a Caputo-Fabrizio fractional derivative of order r ∈ (0, 1) in Banach spaces. Under some monotonicity conditions and the noncompactness measure condition of nonlinearity functions. We obtain the existence of extremal solutions between lower and upper solutions.
DOI : 10.2298/FIL2314761B
Classification : 26A33, 47H08
Keywords: Fractional dierential equation, Caputo-Fabrizio integral of fractional order, Caputo-Fabrizio fractional derivatives, Lower and upper solutions 
Mohammed Benyoub; Mohamed I Abbas. Addressing impulsive fractional integro-differential equations with Caputo-Fabrizio via monotone iterative technique in Banach spaces. Filomat, Tome 37 (2023) no. 14, p. 4761 . doi: 10.2298/FIL2314761B
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     title = {Addressing impulsive fractional integro-differential equations with {Caputo-Fabrizio} via monotone iterative technique in {Banach} spaces},
     journal = {Filomat},
     pages = {4761 },
     year = {2023},
     volume = {37},
     number = {14},
     doi = {10.2298/FIL2314761B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2314761B/}
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