Wyniki wyszukiwania - BazTech

Ograniczanie wyników

1 Opuscula Mathematica

1 2017

Powiadomienia systemowe

Sesja wygasła!

Znaleziono wyników: 1

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: Riemann Liouville derivative

Sortuj według:

Ogranicz wyniki do:

Existence of minimal and maximal solutions to RL fractional integro-differential initial value problems

Denton Z., Ramirez J. D.

Opuscula Mathematica

2017

Vol. 37, no. 5

705--724

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.