Nonlinear Degenerate Fractional Evolution Equations with Nonlocal Conditions

• Autorzy: Derdar N. , Debbouche A.

Identyfikatory

DOI

10.3233/FI-2017-1505

• Języki publikacji: EN

Abstrakty

EN

We investigate the unique solvability of a class of nonlinear nonlocal differential equations associated with degenerate linear operator at the fractional Caputo derivative. For the main results, we use the theory of fractional calculus and (L, p)-boundedness technique that based on the analysis of both strongly (L, p)-sectorial operators and strongly (L, p)-radial operators. The obtained results are applicable to degenerate fractional Cauchy and Showalter–Sidorov problems in Banach spaces. Finally, we give an application described by time-fractional order Oskolkov system.

Słowa kluczowe

EN

degenerate nonlinear equation; fractional calculus; (L, p)-bounded operator; non-local condition

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2017
• Tom: Vol. 151, nr 1/4
• Strony: 473--485
• Opis fizyczny: Bibliogr. 27 poz.

Twórcy

autor

Derdar N.

• Laboratory of Mathematics, Department of Mathematics, University of Badji, Mokhtar 23000, Annaba, Algeria

autor

Debbouche A.

• Department of Mathematics, Guelma University, Guelma 24000, Algeria

Bibliografia

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Uwagi

Pod numerem 12. bibliografii umieszczono dwie pozycje zamiast jednej.