Inverse Problems for Diffusion Equation with Fractional Dzherbashian-Nersesian Operator

Fractional Dzherbashian-Nersesian operator is considered and three famous fractional order derivatives named after Riemann-Liouville, Caputo Hilfer are shown to be special cases of the earlier one. The expression for Laplace transform constructed. Inverse problems recovering space dependent time source terms a diffusion equation with involution involving considered. results on existence uniqueness solutions inverse established. obtained here generalize several known results.