التفاصيل البيبلوغرافية
| العنوان: |
Ulam type stability analysis for generalized proportional fractional differential equations. |
| Alternate Title: |
Аналiз стабiльностi типу Улама для узагальнених диференцiальних рiвнянь з пропорцiйними дробовими похiдними. (Ukrainian) |
| المؤلفون: |
S., Hristova, M. I., Abbas |
| المصدر: |
Carpathian Mathematical Publications / Karpats'kì Matematičnì Publìkacìï; 2024, Vol. 16 Issue 1, p114-127, 14p |
| مصطلحات موضوعية: |
NONLINEAR differential equations, FRACTIONAL differential equations, BIOLOGICAL models, GENERALIZATION, EQUATIONS |
| مستخلص: |
The main aim of the current paper is to be appropriately defined several types of Ulam stability for non-linear fractional differential equation with generalized proportional fractional derivative of Riemann-Liouville type. In the new definitions, the initial values of the solutions of the given equation and the corresponding inequality could not coincide but they have to be closed enough. Some sufficient conditions for three types of Ulam stability for the studied equations are obtained, namely Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability. Some of them are applied to a fractional generalization of a biological model. [ABSTRACT FROM AUTHOR] |
|
Copyright of Carpathian Mathematical Publications / Karpats'kì Matematičnì Publìkacìï is the property of Vasyl Stefanyk Precarpathian National University and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| قاعدة البيانات: |
Complementary Index |