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