Impulsive implicit fractional q-integrodifferential equations under Riemann–Liouville boundary conditions with stability results

Impulsive implicit fractional q-integrodifferential equations under Riemann–Liouville boundary conditions with stability results

We aim to analyze a novel class of impulsive implicit q-integrodifferential equations of fractional order involving a certain kind of boundary value problem with mixed Riemann–Liouville fractional q-integral boundary conditions. Base on the theorems of nonlinear analysis, we investigate the existenc...

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Bibliographic Details
Main Authors: Azam Fathipour, Mohammad Esmael Samei
Format: Article
Language:English
Published: Elsevier 2025-06-01
Series:Partial Differential Equations in Applied Mathematics
Subjects:
Impulse equations
Riemann–Liouville fractional q-integral
Nonlinear analysis
Online Access:http://www.sciencedirect.com/science/article/pii/S2666818125000993
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Summary:We aim to analyze a novel class of impulsive implicit q-integrodifferential equations of fractional order involving a certain kind of boundary value problem with mixed Riemann–Liouville fractional q-integral boundary conditions. Base on the theorems of nonlinear analysis, we investigate the existence and uniqueness results for the given q-fractional equations. In addition to, the stabilities of Ulam–Hyers and Ulam–Hyers–Rassias are examined. Finally, some illustrative examples guarantee our outcomes.
ISSN:2666-8181

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