Two significant inequalities for generalized time fractional derivatives at extreme points are obtained. Then, we apply the inequalities to establish the maximum principles for multi-term time-space fractional variable-order operators. Finally, we employ the principles to investigate two kinds of diffusion equations involving generalized time-fractional Caputo derivatives and space-fractional Riesz-Caputo derivatives
AbstractGeneralized fractional partial differential equations have now found wide application for de...
In this paper, we study a general time-fractional diffusion equation involving the Atangana-Baleanu ...
Generalized fractional partial differential equations have now found wide application for describing...
Two significant inequalities for generalized time fractional derivatives at extreme points are obtai...
In this paper, the maximum principle formulated and proved earlier by the author for the generalized...
AbstractIn the paper, a maximum principle for the generalized time-fractional diffusion equation ove...
MSC 2010: 26A33, 33E12, 35B45, 35B50, 35K99, 45K05 Dedicated to Professor Rudolf Gorenflo on the occ...
In this paper, a maximum principle for the one-dimensional sub-diffusion equation with Atangana–Bale...
AbstractIn this paper, some uniqueness and existence results for the solutions of the initial-bounda...
on the occasion of his 75th anniversary In the paper, boundary value problems for the generalized ti...
In this paper, we investigate properties of solutions to a space-time fractional variable-order conf...
The maximum principle for the space and time–space fractional partial differential equations is stil...
AbstractIn this paper, the initial-boundary-value problems for the generalized multi-term time-fract...
We consider time-fractional parabolic equations with a Caputo time derivative of order $\alpha\in(0,...
We consider a one-dimensional moving-boundary problem for the time-fractional diffusion equation. T...
AbstractGeneralized fractional partial differential equations have now found wide application for de...
In this paper, we study a general time-fractional diffusion equation involving the Atangana-Baleanu ...
Generalized fractional partial differential equations have now found wide application for describing...
Two significant inequalities for generalized time fractional derivatives at extreme points are obtai...
In this paper, the maximum principle formulated and proved earlier by the author for the generalized...
AbstractIn the paper, a maximum principle for the generalized time-fractional diffusion equation ove...
MSC 2010: 26A33, 33E12, 35B45, 35B50, 35K99, 45K05 Dedicated to Professor Rudolf Gorenflo on the occ...
In this paper, a maximum principle for the one-dimensional sub-diffusion equation with Atangana–Bale...
AbstractIn this paper, some uniqueness and existence results for the solutions of the initial-bounda...
on the occasion of his 75th anniversary In the paper, boundary value problems for the generalized ti...
In this paper, we investigate properties of solutions to a space-time fractional variable-order conf...
The maximum principle for the space and time–space fractional partial differential equations is stil...
AbstractIn this paper, the initial-boundary-value problems for the generalized multi-term time-fract...
We consider time-fractional parabolic equations with a Caputo time derivative of order $\alpha\in(0,...
We consider a one-dimensional moving-boundary problem for the time-fractional diffusion equation. T...
AbstractGeneralized fractional partial differential equations have now found wide application for de...
In this paper, we study a general time-fractional diffusion equation involving the Atangana-Baleanu ...
Generalized fractional partial differential equations have now found wide application for describing...