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Opial type integral inequalities for fractional derivatives (CROSBI ID 196896)

Prilog u časopisu | izvorni znanstveni rad

Farid, Ghulam ; Pečarić, Josip Opial type integral inequalities for fractional derivatives // Fractional differential calculus, 2 (2012), 1; 31-54. doi: 10.7153/fdc-02-03

Podaci o odgovornosti

Farid, Ghulam ; Pečarić, Josip

engleski

Opial type integral inequalities for fractional derivatives

. We consider a certain class of convex functions in an integral inequality. Mean value theorems, Cauchy means, exponential convexity, and monotonicity are proved. Applications of Riemann-Liouville fractional integral, Caputo fractional derivative and integral representation of Riemann-Liouville fractional derivative are given.

Opial type inequalities; Cauchy means; monotonicity; Riemann.Liouville fractional integral; Caputo fractional derivative

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Podaci o izdanju

2 (1)

2012.

31-54

objavljeno

1847-9677

10.7153/fdc-02-03

Povezanost rada

Matematika

Poveznice