QUENCHING BEHAVIOR OF THE SOLUTION FOR THE PROBLEMS WITH SEQUENTIAL CONCENTRATED SOURCES

This article studies the diffusion problems with a concentrated source which is provided at sequential time steps in 1 dimensional space. The are considered for both Gaussian and fractional operators. For case, Riemann-Liouville operator order used to describe model rate slower than normal scale, known as sub diffusive problems. Due this property, existence nonexistence behavior of solution will be studied. Since forcing term experience sequence steps, frequency, difference strength may affect growth solution. Criteria these effects cause quenching given. investigated. monotone spatial location point discussed.