most citedCauchy problem for general time fractional diffusion equation

18 citations · 66 across the 8 of their papers we have counts for

collaborators

8 papers

math.AP2022★ 11 cited

Diffusion equations with general nonlocal time and space derivatives

Chung-Sik Sin, Hyong-Chol O, Sang-Mun Kim

In the present study, firstly, based on the continuous time random walk (CTRW) theory, general diffusion equations are derived. The time derivative is taken as the general Caputo-t…

math.AP2022★ 18 cited

Cauchy problem for general time fractional diffusion equation

Chung-Sik Sin

In the present work, we consider the Cauchy problem for the time fractional diffusion equation involving the general Caputo-type differential operator proposed by Kochubei. First,…

cond-mat.soft2022★ 9 cited

Effect of orientational ordering of water dipoles on stratification of counterions of different size in multicomponent electrolyte solution near charged surface -- a mean field approach

Jun-Sik Sin, Kwang-Il Kim, Chung-Sik Sin

We theoretically studied electric double layer by using the mean-field approach including the non-uniform size effect and the orientational ordering of water dipoles in electrolyte…

cond-mat.soft2022★ 6 cited

Influence of asymmetric depletion of solvents on the electric double layer of charged objects in binary polar solvent mixture

Jun-Sik Sin, Chung-Sik Sin

For binary solvent mixtures composed of ions and two kinds of polar solvents, electric double layer near a charged object is strongly affected by not only the binary solvent compos…

cond-mat.soft2022★ 13 cited

Electric double layer of colloidal particles in salt-free concentrated suspensions including non-uniform size effects and orientational ordering of water dipoles

Jun-Sik Sin, Kwang-Il Kim, Kuk-Chol Ri +3

The response of a suspension under a variety of static or alternating external fields strongly depends on the equilibrium electric double layer that surrounds the colloidal particl…

cond-mat.soft2022★ 7 cited

Effect of solvent polarization on electric double layer of a charged soft surface in an electrolyte solution

Jun-Sik Sin, Nam-Hyok Kim, Chung-Sik Sin

We study the electric double layer near a charged soft surface by using a mean-field approach including non-uniform size effect and solvent polarization. Based on a free energy mod…

math.CA2017★ 2 cited

Existence and uniqueness of global solutions of fractional functional differential equations with bounded delay

Chung-Sik Sin

This paper deals with initial value problems for fractional functional differential equations with bounded delay. The fractional derivative is defined in the Caputo sense. By using…

math.CA2017

Existence of smooth solutions of multi-term Caputo-type fractional differential equations

Chung-Sik Sin, Shusen Cheng, Gang-Il Ri +1

This paper deals with the initial value problem for the multi-term fractional differential equation. The fractional derivative is defined in the Caputo sense. Firstly the initial v…