Distributed-order fractional calculus (DOFC) is a rapidly emerging branch of the broader
area of fractional calculus that has important and far-reaching applications for the modeling …

This accessible monograph is devoted to a rapidly developing area on the research of
qualitative theory of fractional ordinary differential equations and evolution equations. It is …

The subject of fractional calculus and its applications (that is, convolution-type pseudo-
differential operators including integrals and derivatives of any arbitrary real or complex …

This paper aims at unifying and clarifying the recent advances in the analysis of the
fractional and generalized fractional Partial Differential Equations of Caputo and Riemann …

We develop a kind of fractional calculus and theory of relaxation and diffusion equations
associated with operators in the time variable, of the form (\mathbb D_ (k) u)(t)= d dt …

In this paper, the initial-boundary-value problems for the generalized multi-term time-
fractional diffusion equation over an open bounded domain G×(0, T), G∈ Rn are …

We consider equations of the form where D (μ) is a distributed order derivative, that isD (α) is
the Caputo–Dzhrbashyan fractional derivative of order α, μ is a positive weight function. The …

In this paper, a new numerical method for solving the distributed fractional differential
equations is presented. The method is based upon hybrid functions approximation. The …

In this paper, we deal with the initial-boundary-value problems for a general time-fractional
diffusion equation which generalizes the single-and the multi-term time-fractional diffusion …

In the paper, boundary value problems for the generalized time-fractional diffusion equation
of distributed order over an open bounded domain G×[0, T], G∈ IR are considered. Both …