Ulam-Hyers and generalized Ulam-Hyers stability of fractional functional integro-differential equations

Dilna, Natalia; Langerová, Martina

doi:10.1016/j.ifacol.2024.08.203

IFAC-PapersOnLine

2024

DOI: 10.1016/j.ifacol.2024.08.203

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Ulam-Hyers and generalized Ulam-Hyers stability of fractional functional integro-differential equations

Natalia Dilna,

Martina Langerová

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2024

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Ulam–Hyers and Generalized Ulam–Hyers Stability of Fractional Differential Equations with Deviating Arguments

Dilna,

Fekete,

Langerová

et al. 2024

Mathematics

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In this paper, we study the initial value problem for the fractional differential equation with multiple deviating arguments. By using Krasnoselskii’s fixed point theorem, the conditions of solvability of the problem are obtained. Furthermore, we establish Ulam–Hyers and generalized Ulam–Hyers stability of the fractional functional differential problem. Finally, two examples are presented to illustrate our results, one is with a pantograph-type equation and the other is numerical.

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Ulam–Hyers and Generalized Ulam–Hyers Stability of Fractional Differential Equations with Deviating Arguments

Dilna,

Fekete,

Langerová

et al. 2024

Mathematics

View full text Add to dashboard Cite

show abstract

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Ulam-Hyers and generalized Ulam-Hyers stability of fractional functional integro-differential equations

Cited by 1 publication

References 16 publications

Ulam–Hyers and Generalized Ulam–Hyers Stability of Fractional Differential Equations with Deviating Arguments

Ulam–Hyers and Generalized Ulam–Hyers Stability of Fractional Differential Equations with Deviating Arguments

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