What question did this study set out to answer?

The aim is to explore the Ulam–Hyers and Ulam–Hyers–Rassias stabilities in nonlinear fractional differential equations.

March 21, 2026Open Access

Ulam–Hyers–Rassias stabilities of nonlinear fractional differential equations

Key Points

The aim is to explore the Ulam–Hyers and Ulam–Hyers–Rassias stabilities in nonlinear fractional differential equations.
Analyzed stability using Ulam–Hyers and Ulam–Hyers–Rassias concepts.
Employed Bielecki-type metric and Banach’s fixed-point theorem.
Investigated both finite and infinite interval cases.
Demonstrated Ulam–Hyers stability in the analyzed equations.
Showed the effectiveness of the metric and theorem in stability analysis.
Provided illustrative examples supporting the findings.

Abstract

This study investigates the Ulam–Hyers, Ulam–Hyers–Rassias, and –semi–Ulam–Hyers stabilities of nonlinear fractional differential equations involving the Riemann–Liouville fractional derivative. The analysis is carried out by employing the Bielecki–type metric together with Banach’s fixed–point theorem. Both finite and infinite interval cases are explored, and several illustrative examples are provided to demonstrate the obtained findings.

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Authors

Rahim Shah

Natasha Irshad

Journals

Acta Universitatis Sapientiae Mathematica

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Institutions

Murang'a University of Technology

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Building similarity graph...

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Ulam–Hyers–Rassias stabilities of nonlinear fractional differential equations

Key Points

Abstract

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Connected Papers

Discussion

Authors

Journals

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

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