|
Эта публикация цитируется в 1 научной статье (всего в 1 статье)
Periodic boundary value problems for fractional implicit differential equations involving Hilfer fractional derivative
M. A. Almalahia, M. S. Abdoab, S. K. Panchala a Dr. Babasaheb Ambedkar Marathwada University,
Aurangabad, (M. S), 431001, India
b Department of Mathematics, Hodiedah University,
Al-Hodeidah, Yemen
Аннотация:
In this paper, a new class of the periodic boundary value problem for nonlinear implicit fractional differential equations involving Hilfer fractional derivative is considered in the weighted space of functions. We establish sufficient conditions for existence, uniqueness, Ulam-Hyers and Ulam-Hyers-Rassias stability of the given problem. The main results are based upon the technique of the Schaefer fixed point theorem, the Banach fixed point theorem, generalized Gronwall inequality, and with the help of some properties of Mittag-Leffler functions. An example is presented to illustrate our main results.
Ключевые слова:
fractional differential equations, fractional derivatives, Ulam stability, fixed point theorem, Mittag-Leffler function.
Поступила в редакцию: 19.12.2019 Исправленный вариант: 25.05.2020 Принята в печать: 27.05.2020
Образец цитирования:
M. A. Almalahi, M. S. Abdo, S. K. Panchal, “Periodic boundary value problems for fractional implicit differential equations involving Hilfer fractional derivative”, Пробл. анал. Issues Anal., 9(27):2 (2020), 16–44
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/pa294 https://www.mathnet.ru/rus/pa/v27/i2/p16
|
Статистика просмотров: |
Страница аннотации: | 72 | PDF полного текста: | 34 | Список литературы: | 13 |
|