- Tytuł:
- Existence and Ulam-Hyers stability of the implicit fractional boundary value problem with ψ-Caputo fractional derivative
- Autorzy:
-
Wahash, Hanan A.
Abdo, Mohammed S
Panchal, Satish K. - Powiązania:
- https://bibliotekanauki.pl/articles/1839794.pdf
- Data publikacji:
- 2020
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
fractional differential equations
ψ-fractional integral and derivative
existence and Ulam-Hyers stability
fixed point theorem
równania różniczkowe ułamkowe
równania różniczkowe cząstkowe
pochodna ułamkowa
twierdzenie o punkcie stałym
pochodna ułamkowa Caputo - Opis:
- In this paper, we investigate the existence, uniqueness and Ulam-Hyers stability of solutions for nonlinear implicit fractional differential equations with boundary conditions involving a ψ-Caputo fractional derivative. The obtained results for the proposed problem are proved under a new approach and minimal assumptions on the function ƒ. The analysis is based upon the reduction of the problem considered to the equivalent integral equation, while some fixed point theorems of Banach and Schauder and generalized Gronwall inequality are employed to obtain our results for the problem at hand. Finally, the investigation is illustrated by providing a suitable example.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 1; 89-101
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł