By developing new techniques we establish local existence and uniqueness theorems for an initial value problem involving a nonlinear equation in the sense of Riemann-Liouville fractional derivative in the case that the nonlinear function on the right hand side of the equation is not continuous on $[0,T]\times\mathbb{R}.$
Approximate solutions to the initial value problem for some compressible flows in presence of shocks and void regions
Initial, inner and inner-boundary problems for a fractional differential equation
Fractional differential equations solved by using Mellin transform
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