Geodesic
Existence and Mittag-Leffler-Ulam-stability results of sequential fractional hybrid pantograph equations
Filomat, Tome 37 (2023) no. 20, p. 6891

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DOI

In this present work, the existence and uniqueness of solutions for fractional pantograph differential equations involving Riemann-Liouville and Caputo fractional derivatives are established by applying contraction mapping principle and Leray-Schauder’s alternative. The Mittag-Leffler-Ulam stability results are also obtained via generalized singular Gronwall’s inequality. Finally, we give an illustrative example.
DOI : 10.2298/FIL2320891H
Classification : 26A33, 34A08, 34B15
Keywords: Fractional derivative, Fixed point, Existence, Fractional pantograph equation, Mittag-Leffler-Ulam stability 
Mohamed Houas; Mohamed I Abbas; Francisco Martínez. Existence and Mittag-Leffler-Ulam-stability results of sequential fractional hybrid pantograph equations. Filomat, Tome 37 (2023) no. 20, p. 6891 . doi: 10.2298/FIL2320891H
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     author = {Mohamed Houas and Mohamed I Abbas and Francisco Mart{\'\i}nez},
     title = {Existence and {Mittag-Leffler-Ulam-stability} results of sequential fractional hybrid pantograph equations},
     journal = {Filomat},
     pages = {6891 },
     year = {2023},
     volume = {37},
     number = {20},
     doi = {10.2298/FIL2320891H},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2320891H/}
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