Ulam‐Hyers‐Rassias stability for generalized fractional differential equations
In this paper, we present a generalized Gronwall inequality with singularity. Using this inequality, we investigate the existence, uniqueness, and Ulam‐Hyers‐Rassias stability for solutions of a class of generalized nonlinear fractional differential equations of order α (1
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| Veröffentlicht in: | Mathematical methods in the applied sciences 2021-09, Vol.44 (13), p.10267-10280 |
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| container_issue | 13 |
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| container_title | Mathematical methods in the applied sciences |
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| creator | Boucenna, Djalal Ben Makhlouf, Abdellatif El‐hady, El‐sayed Hammami, Mohamed Ali |
| description | In this paper, we present a generalized Gronwall inequality with singularity. Using this inequality, we investigate the existence, uniqueness, and Ulam‐Hyers‐Rassias stability for solutions of a class of generalized nonlinear fractional differential equations of order α (1 |
| doi_str_mv | 10.1002/mma.7406 |
| format | Article |
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| subjects | Differential equations generalized fractional derivative Mathematical analysis Mathematics Mathematics, Applied nonlinear fractional differential equations Physical Sciences Science & Technology Stability Ulam–Hyers–Rassias stability |
| title | Ulam‐Hyers‐Rassias stability for generalized fractional differential equations |
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