Abstract:
An integral operator is sometimes called an integral transformation. In the fractional analysis, Riemann-Liouville integral operator (transformation) of fractional integral is defined as S-alpha(x) = 1/Gamma(x) integral(x)(0) (x - t)(alpha-1) f(t)dt where f(t) is any integrable function on [0, 1] and alpha > 0, t is in domain of f.