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math-ph2009★ 28 cited
Variable order differential equations with piecewise constant order-function and diffusion with changing modes
Sabir Umarov, Stanly Steinberg
In this paper diffusion processes with changing modes are studied involving the variable order partial differential equations. We prove the existence and uniqueness theorem of a so…
math-ph2006★ 2 cited
A fractional analog of Duhamel's principle
Sabir Umarov, Erkin Saydamatov
The well known Duhamel's principle allows to reduce the Cauchy problem for linear inhomogeneous partial differential equations to the Cauchy problem for the corresponding homogeneo…