Geodesic
On a Hilfer fractional differential equation with nonlocal Erdélyi-Kober fractional integral boundary conditions
Filomat, Tome 34 (2020) no. 9, p. 3003

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DOI

We consider a Hilfer fractional differential equation with nonlocal Erdélyi-Kober fractional integral boundary conditions. The existence, uniqueness and Ulam-Hyers stability results are investigated by means of the Krasnoselskii's fixed point theorem and Banach's fixed point theorem. An example is given to illustrate the main results.
DOI : 10.2298/FIL2009003A
Classification : 26A33, 34A08, 34K10
Keywords: Erdélyi-Kober fractional integral, Hilfer fractional derivative, Krasnoselskii’s fixed point theorem, Ulam-Hyers stability 
Mohamed I Abbas. On a Hilfer fractional differential equation with nonlocal Erdélyi-Kober fractional integral boundary conditions. Filomat, Tome 34 (2020) no. 9, p. 3003 . doi: 10.2298/FIL2009003A
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     author = {Mohamed I Abbas},
     title = {On a {Hilfer} fractional differential equation with nonlocal {Erd\'elyi-Kober} fractional integral boundary conditions},
     journal = {Filomat},
     pages = {3003 },
     year = {2020},
     volume = {34},
     number = {9},
     doi = {10.2298/FIL2009003A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2009003A/}
}
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