43 citations · 76 across the 6 of their papers we have counts for
6 papers
Fractional calculus approach to models of adsorption: Barrier-diffusion control
Ivan Bazhlekov, Emilia Bazhlekova
The mathematical model of surfactant adsorption under mixed barrier-diffusion control is analyzed using techniques from fractional calculus. The kinetic models of Henry, Langmuir,…
Subordination principle for space-time fractional evolution equations and some applications
Emilia Bazhlekova
The abstract Cauchy problem for the fractional evolution equation with the Caputo derivative of order and operator , , is considered, where genera…
Estimates for a general fractional relaxation equation and application to an inverse source problem
Emilia Bazhlekova
A general fractional relaxation equation is considered with a convolutional derivative in time introduced by A. Kochubei (Integr. Equ. Oper. Theory 71 (2011), 583-600). This equati…
Subordination approach to multi-term time-fractional diffusion-wave equations
Emilia Bazhlekova, Ivan Bazhlekov
This paper is concerned with the fractional evolution equation with a discrete distribution of Caputo time-derivatives such that the largest and the smallest orders, and ,…
Completely monotone functions and some classes of fractional evolution equations
Emilia Bazhlekova
The abstract Cauchy problem for the distributed order fractional evolution equation in the Caputo and in the Riemann-Liouville sense is studied for operators generating a strongly…
An Analysis of the Rayleigh-Stokes problem for a Generalized Second-Grade Fluid
Emilia Bazhlekova, Bangti Jin, Raytcho Lazarov +1
We study the Rayleigh-Stokes problem for a generalized second-grade fluid which involves a Riemann-Liouville fractional derivative in time, and present an analysis of the problem i…