- Tytuł:
- Analytical and numerical study for a fractional boundary value problem with a conformable fractional derivative of Caputo and its fractional integral
- Autorzy:
-
Bekkouche, M. Moumen
Guebbai, H. - Powiązania:
- https://bibliotekanauki.pl/articles/1839786.pdf
- Data publikacji:
- 2020
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
fractional boundary value problem
Volterra-Fredholm integral equation
fractional derivative
fractional integral
równanie całkowe Volterry-Fredholma
ułamkowa wartość brzegowa
pochodna ułamkowa Caputo - Opis:
- We study the existence and uniqueness of the solution of a fractional boundary value problem with conformable fractional derivation of the Caputo type, which increases the interest of this study. In order to study this problem we have introduced a new definition of fractional integral as an inverse of the conformable fractional derivative of Caputo, therefore, the proofs are based upon the reduction of the problem to a equivalent linear Volterra-Fredholm integral equations of the second kind, and we have built the minimum conditions to obtain the existence and uniqueness of this solution. The analytical study is followed by a complete numerical study.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 2; 31-42
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł