Geodesic
Existence of solutions of some boundary value problems with impulsive conditions and ABC-fractional order
Filomat, Tome 37 (2023) no. 11, p. 3639

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DOI

This article discusses on topics about the integral boundary value problems with impulsive conditions. Using a generalized contraction, the existence of solutions of an initial boundary value problem involving Atangana Baleanu Capotu-fractional order (in Mittag-Lefler kernel sense) will also be investigated and some important results will be presented. Two examples are provided to illustrate the results.
DOI : 10.2298/FIL2311639A
Classification : 47H09, 34B09
Keywords: Atangana Baleanu Capotu derivative, Iimpulsive conditions, Fixed point, Boundary value problem 
Hojjat Afshari; Vahid Roomi; Sabileh Kalantari. Existence of solutions of some boundary value problems with impulsive conditions and ABC-fractional order. Filomat, Tome 37 (2023) no. 11, p. 3639 . doi: 10.2298/FIL2311639A
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     author = {Hojjat Afshari and Vahid Roomi and Sabileh Kalantari},
     title = {Existence of solutions of some boundary value problems with impulsive conditions and {ABC-fractional} order},
     journal = {Filomat},
     pages = {3639 },
     year = {2023},
     volume = {37},
     number = {11},
     doi = {10.2298/FIL2311639A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2311639A/}
}
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