Книга содержит изложение метода дробных производных и состоит из трех частей,
раскрывающих физические основания метода, математический аппарат и примеры …

In this paper a time fractional Fourier law is obtained from fractional calculus. According to
the fractional Fourier law, a fractional heat conduction equation with a time fractional …

In this paper, we design a new three dimensional King Cobra face shaped fractional order
chaotic system. The multi-scale synchronization scheme of two fractional order chaotic …

Exact analytical solutions for the magnetohydrodynamic (MHD) flows of an Oldroyd-B fluid
through a porous space are developed. The fractional calculus approach is used to describe …

In this paper, inspired by the idea of invariant subspace method and combined with
elementary integral method, we introduced a novel approach for investigating exact …

The present paper investigates analytically the two-dimensional heat transfer and entropy
generation characteristics of axisymmetric, incompressible viscous fluid flow in a horizontal …

In this paper, a fractional order dynamical system is constructed that exhibits chaotic and
reverse chaotic attractors by changing the sign of the one parameter which involves in the …

In this paper, it is verified that the fractional chain rule appeared in some references does not
hold under Riemann–Liouville definition and Caputo definition of fractional derivative. It …

By using a counterexample, we proved the fractional chain rule appeared in many
references does not hold under Riemann–Liouville definition and Caputo definition of …

In this paper, based on the previous works, we improve a computational method on solving
time-fractional partial differential equation. Using the improved method, a series of time …