This article is cited in 5 papers

Differentical equations, dynamical systems and optimal control

Cauchy problem for high even order parabolic equation with time fractional derivative

L. L. Karasheva

Institute of Applied Mathematics and Automation of KBSC RAS, Shortanova str., 89-A, 360000, Nalchik, Russia

Abstract: In the paper, we construct a fundamental solution for a higher order parabolic equation with time-fractional derivative and study its properties. We solve the Cauchy problem for the equation under study and prove a uniqueness theorem in the class of fast-growing functions.

Keywords: fundamental solution, Riemann–Liouville fractional derivative, Cauchy problem, high order equation.

UDC: 517.95

MSC: 35K25

Received December 1, 2017, published June 11, 2018

DOI: 10.17377/semi.2018.15.055

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