On contraction principle applied to nonlinear fractional differential equations with derivatives of order α ∈ (0,1)

• Autorzy: Małgorzata Klimek
• Języki publikacji: EN

Abstrakty

EN

One-term and multi-term fractional differential equations with a basic derivative of order α ∈ (0,1) are solved. The existence and uniqueness of the solution is proved by using the fixed point theorem and the equivalent norms designed for a given value of parameters and function space. The explicit form of the solution obeying the set of initial conditions is given.

Kategorie tematyczne

• 26A33: Fractional derivatives and integrals
• 34A08: Fractional differential equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 95
• Numer: 1
• Strony: 325-338

Daty

wydano

2011

Twórcy

autor

Małgorzata Klimek

• Institute of Mathematics, Częstochowa University of Technology, Dąbrowskiego 73, 42-200 Częstochowa, Poland

Identyfikatory

DOI

10.4064/bc95-0-19