Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses

Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses

Abstract In this manuscript, we investigated the existence, uniqueness, and Ulam–Hyers stability results of solutions to implicit Caputo–Hadamard fractional differential equations with noninstantaneous impulses and δ − d e r i v a t i v e $\delta -derivative$ initial conditions. By employing Banach’...

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Bibliographic Details
Main Authors: Mesfin Teshome Beyene, Mitiku Daba Firdi, Tamirat Temesgen Dufera
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Boundary Value Problems
Subjects:
Caputo–Hadamard derivative
Noninstantaneous impulses
Existence and uniqueness
Ulam–Hyers stability
Online Access:https://doi.org/10.1186/s13661-024-01958-9
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Summary:Abstract In this manuscript, we investigated the existence, uniqueness, and Ulam–Hyers stability results of solutions to implicit Caputo–Hadamard fractional differential equations with noninstantaneous impulses and δ − d e r i v a t i v e $\delta -derivative$ initial conditions. By employing Banach’s and Schaefer’s fixed-point theorems, we attain the required results. Finally, we provide examples that support the main findings we arrived at.
ISSN:1687-2770

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