On Application of the Contraction Principle to Solve the Two-Term Fractional Differential Equations

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

Abstrakty

EN

We solve two-term fractional differential equations with left-sided Caputo derivatives. Existence-uniqueness theorems are proved using newly-introduced equivalent norms/metric on the space of continuous functions. The metrics are modified in such a way that the space of continuous functions is complete and the Banach theorem on a fixed point can be applied. It appears that the general solution is generated by the stationary function of the highest order derivative and exists in an arbitrary interval [0,b].

Słowa kluczowe

EN

differential equation; solving

PL

równanie różniczkowe; rozwiązanie

• Wydawca: Oficyna Wydawnicza Politechniki Białostockiej
• Czasopismo: Acta Mechanica et Automatica
• Rocznik: 2011
• Tom: Vol. 5, no. 2
• Strony: 5--10
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Błasik M.

autor

Klimek M.

• Czestochowa University of Technology, Częstochowa,

Bibliografia

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