Positive and bounded below solutions for certain nonlinear fractional differential equations

• Autorzy: Klimek M. , Błasik M.
• Języki publikacji: EN

Abstrakty

EN

Two types of one-term nonlinear fractional differential equations are considered and the existence of solutions in the space of continuous, positive and bounded below functions is proved. We transform an equation containing the left- or right-sided Caputo derivative into a fixed point condition and apply the Banach theorem and extended Bielecki method of equivalent norms.

Słowa kluczowe

EN

Caputo derivatives; fractional calculus; nonlinear fractional differential equations

PL

pochodne Caputo; rachunek ułamkowy

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2010
• Tom: Vol. 9, nr 2
• Strony: 91--102
• Opis fizyczny: Bibliogr. 21 poz.

Twórcy

autor

Klimek M.

autor

Błasik M.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

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