ABSTRACT
Random Fractional Differential Equations via Hadamard Fractional Derivatives Another kind of fractional derivative that appears side by side with the Riemann-
Liouville and Caputo derivatives in the literature is the fractional derivative due to Hadamard that was introduced in 1892 [148]. This derivative differs from the aforementioned derivatives in the sense that the kernel of the integral in the definition of the Hadamard derivative contains a logarithmic function with an arbitrary exponent. Details and properties of the Hadamard fractional derivative and integral can be found in [69-71,182-184].
