On differentiable solutions for one-term nonlinear fractional differential equations

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

Abstrakty

EN

Two one-term nonlinear fractional differential equations with the left- or rightsided Caputo derivative are discussed. The existence and uniqueness of solutions, generated by the respective stationary function, is proved in the space of continuously differentiable function. The proof, based on the Banach theorem, includes the extension of the Bielecki method of equivalent norms.

Słowa kluczowe

EN

fractional calculus; Caputo derivatives; nonlinear fractional differential equations

PL

rachunek ułamkowy; pochodne Caputo

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2010
• Tom: Vol. 9, nr 2
• Strony: 103--113
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Klimek M.

autor

Lupa M.

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

Bibliografia

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