4 papers
A non-Gaussian Hardy-type Equation in Fractional Time
Soveny Solís, Vicente Vergara
A non-Gaussian Hardy equation is studied with a non-linearity of Osgood-type growth. A fractional derivative in time is incorporated for the first time in an research of this type.…
Non-existence of solutions for a non-Gaussian equation in fractional time with Osgood type nonlinearity
Soveny Solís, Vicente Vergara
Osgood functions in the source term are used to produce results for non-existence of local solutions into the framework of non-Gaussian diffusion equations. The critical exponent f…
Blow-up for a non-linear stable non-Gaussian process in fractional time
S. Solís, V. Vergara
The behaviour of solutions for a non-linear diffusion problem is studied. A subordination principle is applied to obtain the variation of parameters formula in the sense of Volterr…
A non-linear stable non-Gaussian process in fractional time
Soveny Solís, Vicente Vergara
A subdiffusion problem in which the diffusion term is related to a stable stochastic process is introduced. Linear models of these systems have been studied in a general way, but n…