Erdelyi–Kober operator - Alchetron, The Free Social Encyclopedia

In mathematics, an Erdélyi–Kober operator is a fractional integration operation introduced by Arthur Erdélyi (1940) and Hermann Kober (1940).

The Erdélyi–Kober fractional integral is given by

x − ν − α + 1 Γ ( α ) ∫ 0 x ( t − x ) α − 1 t − α − ν f ( t ) d t

which generalizes the Riemann fractional integral and the Weyl integral.

Comparison

There is a similar operator now known as the Katugampola fractional operator which generalizes both the Riemann-Liouville and the Hadamard fractional integrals into a unique form.

References

Erdelyi–Kober operator Wikipedia

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