- Tytuł:
- Existence of minimal and maximal solutions to RL fractional integro-differential initial value problems
- Autorzy:
-
Denton, Z.
Ramirez, J. D. - Powiązania:
- https://bibliotekanauki.pl/articles/255901.pdf
- Data publikacji:
- 2017
- Wydawca:
- Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
- Tematy:
-
Riemann Liouville derivative
integro-differential equation
monotone method - Opis:
- In this work we investigate integro-differential initial value problems with Riemann Liouville fractional derivatives where the forcing function is a sum of an increasing function and a decreasing function. We will apply the method of lower and upper solutions and develop two monotone iterative techniques by constructing two sequences that converge uniformly and monotonically to minimal and maximal solutions. In the first theorem we will construct two natural sequences and in the second theorem we will construct two intertwined sequences. Finally, we illustrate our results with an example.
- Źródło:
-
Opuscula Mathematica; 2017, 37, 5; 705-724
1232-9274
2300-6919 - Pojawia się w:
- Opuscula Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł