Study of a class of fractional-order evolution hybrid differential equations using a modified Mittag-Leffler-type derivative

Kamal Shah; Thabet Abdeljawad; Bahaaeldin Abdalla; Manel Hleili

doi:10.1186/s13661-024-01886-8

Study of a class of fractional-order evolution hybrid differential equations using a modified Mittag-Leffler-type derivative

Kamal Shah^*, Thabet Abdeljawad^*, Bahaaeldin Abdalla, Manel Hleili

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

This work is devoted to using topological degree theory to establish a mathematical analysis for a class of fractional-order evolution hybrid differential equations using a modified Mittag–Leffler-type derivative. In addition, two kinds of Ulam–Hyers (U–H) stability results are deduced for the mentioned problem. A pertinent example is given to verify the results.

Original language	English
Article number	79
Journal	Boundary Value Problems
Volume	2024
Issue number	1
DOIs	https://doi.org/10.1186/s13661-024-01886-8
Publication status	Published - Dec 2024
Externally published	Yes

Keywords

Completely continuous
Hyers–Ulam stability
Lipchitz criteria
Topological Degree theory

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10.1186/s13661-024-01886-8

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AU - Abdalla, Bahaaeldin

AU - Hleili, Manel

N1 - Publisher Copyright: © The Author(s) 2024.

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N2 - This work is devoted to using topological degree theory to establish a mathematical analysis for a class of fractional-order evolution hybrid differential equations using a modified Mittag–Leffler-type derivative. In addition, two kinds of Ulam–Hyers (U–H) stability results are deduced for the mentioned problem. A pertinent example is given to verify the results.

AB - This work is devoted to using topological degree theory to establish a mathematical analysis for a class of fractional-order evolution hybrid differential equations using a modified Mittag–Leffler-type derivative. In addition, two kinds of Ulam–Hyers (U–H) stability results are deduced for the mentioned problem. A pertinent example is given to verify the results.

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KW - Hyers–Ulam stability

KW - Lipchitz criteria

KW - Topological Degree theory

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Study of a class of fractional-order evolution hybrid differential equations using a modified Mittag-Leffler-type derivative

Abstract

Keywords

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