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

• Autorzy: Denton Z. , Ramirez J. D.

Identyfikatory

DOI

10.7494/OpMath.2017.37.5.705

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Riemann Liouville derivative; integro-differential equation; monotone method

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2017
• Tom: Vol. 37, no. 5
• Strony: 705--724
• Opis fizyczny: Bibliogr. 29 poz.

Twórcy

autor

Denton Z.

• North Carolina A&T State University Department of Mathematics Greensboro, NC, 27411 USA

autor

Ramirez J. D.

• Savannah State University Department of Mathematics Savannah, GA 31404, USA

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).