Geodesic
Existence and Hyers-Ulam stability for boundary value problems of multi-term Caputo fractional differential equations
Filomat, Tome 37 (2023) no. 28, p. 9679

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DOI

The present paper is devoted to discussing a class of nonlinear Caputo-type fractional differential equations with two-point type boundary value conditions. We investigate the existence and uniqueness of the solutions by virtue of the classical Schauder alternative principle and the Banach contraction principle. Furthermore, by means of a novel Gronwall-type inequality, we prove the Hyers-Ulam stability of boundary value problems of multi-term Caputo fractional differential equations. Finally, some numerical examples are given to illustrate the results.
DOI : 10.2298/FIL2328679C
Classification : 34A08, 26A33, 45M10
Keywords: Fixed point theorem, Fractional differential equation, Hyers-Ulam stability, Gronwall-type inequality 
Chen Chen; Li Liu; Qixiang Dong. Existence and Hyers-Ulam stability for boundary value problems of multi-term Caputo fractional differential equations. Filomat, Tome 37 (2023) no. 28, p. 9679 . doi: 10.2298/FIL2328679C
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     author = {Chen Chen and Li Liu and Qixiang Dong},
     title = {Existence and {Hyers-Ulam} stability for boundary value problems of multi-term {Caputo} fractional differential equations},
     journal = {Filomat},
     pages = {9679 },
     year = {2023},
     volume = {37},
     number = {28},
     doi = {10.2298/FIL2328679C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2328679C/}
}
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