Skip to Main content Skip to Navigation
Journal articles

AN EXISTENCE RESULT OF (ω,C)-PERIODIC MILD SOLUTIONS TO SOME FRACTIONAL DIFFERENTIAL EQUATION

Abstract : We first investigate in this paper further properties of the new concept of (ω, c)-periodic functions; then we apply the results to study the existence of (ω, c)-periodic mild solutions of the fractional differential equations D α t (u(t) − F 1 (t, u(t))) = A(u(t) − F 1 (t, u(t))) + D α−1 t F 2 (t, u(t)), t ∈ R, where 1 < α < 2, A : D(A) ⊆ X → X is a linear densely defined operator of sectorial type on a complex Banach space X, F 1 , F 2 : R×X → X are two (ω, c)-periodic functions satisfying suitable conditions in the second variable. The fractional derivative is understood in the sense of Riemann-Liouville.
Document type :
Journal articles
Complete list of metadatas

Cited literature [12 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-02548014
Contributor : Gisele Mophou Loudjom <>
Submitted on : Monday, April 20, 2020 - 2:28:19 PM
Last modification on : Friday, April 24, 2020 - 1:23:11 AM

File

GG-28-11-2019.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-02548014, version 1

Collections

Citation

Gisèle Mophou, Gaston N'guérékata. AN EXISTENCE RESULT OF (ω,C)-PERIODIC MILD SOLUTIONS TO SOME FRACTIONAL DIFFERENTIAL EQUATION. Nonlinear Studies - The International Journal, Cambridge Scientific Publishers, In press. ⟨hal-02548014⟩

Share

Metrics

Record views

19

Files downloads

22