ABSTRACT

Let f : [ a , b ] → ℂ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781351142120/c81116b1-56b8-4322-b026-4912085dda0d/content/eq7250.tif"/> be a complex valued Lebesgue integrable function on the real interval [a, b]. The Riemann-Liouville fractional integrals are defined for α > 0 by J a + α f ( x ) = 1 Γ ( α ) ∫ a x ( x − t ) α − 1 ( t ) d t https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781351142120/c81116b1-56b8-4322-b026-4912085dda0d/content/eq7251.tif"/>