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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| Format: | Article |
| Language: | English |
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Elsevier
2025-06-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818125000993 |
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| author | Azam Fathipour Mohammad Esmael Samei |
| author_facet | Azam Fathipour Mohammad Esmael Samei |
| author_sort | Azam Fathipour |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-71a409ea0bb047d79e19c7149d96bb58 |
| institution | DOAJ |
| issn | 2666-8181 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-71a409ea0bb047d79e19c7149d96bb582025-08-20T03:14:32ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-06-011410117210.1016/j.padiff.2025.101172Impulsive implicit fractional q-integrodifferential equations under Riemann–Liouville boundary conditions with stability resultsAzam Fathipour0Mohammad Esmael Samei1Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, IranCorresponding author.; Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, IranWe 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.http://www.sciencedirect.com/science/article/pii/S2666818125000993Impulse equationsRiemann–Liouville fractional q-integralNonlinear analysis |
| spellingShingle | Azam Fathipour Mohammad Esmael Samei Impulsive implicit fractional q-integrodifferential equations under Riemann–Liouville boundary conditions with stability results Partial Differential Equations in Applied Mathematics Impulse equations Riemann–Liouville fractional q-integral Nonlinear analysis |
| title | Impulsive implicit fractional q-integrodifferential equations under Riemann–Liouville boundary conditions with stability results |
| title_full | Impulsive implicit fractional q-integrodifferential equations under Riemann–Liouville boundary conditions with stability results |
| title_fullStr | Impulsive implicit fractional q-integrodifferential equations under Riemann–Liouville boundary conditions with stability results |
| title_full_unstemmed | Impulsive implicit fractional q-integrodifferential equations under Riemann–Liouville boundary conditions with stability results |
| title_short | Impulsive implicit fractional q-integrodifferential equations under Riemann–Liouville boundary conditions with stability results |
| title_sort | impulsive implicit fractional q integrodifferential equations under riemann liouville boundary conditions with stability results |
| topic | Impulse equations Riemann–Liouville fractional q-integral Nonlinear analysis |
| url | http://www.sciencedirect.com/science/article/pii/S2666818125000993 |
| work_keys_str_mv | AT azamfathipour impulsiveimplicitfractionalqintegrodifferentialequationsunderriemannliouvilleboundaryconditionswithstabilityresults AT mohammadesmaelsamei impulsiveimplicitfractionalqintegrodifferentialequationsunderriemannliouvilleboundaryconditionswithstabilityresults |