Sandev Trifce, Iomin Alexander
Research Center for Computer Science and Information Technologies, <a href="https://ror.org/003jsdw96">Macedonian Academy of Sciences and Arts</a>, Bul. Krste Misirkov 2, 1000 Skopje, Macedonia; Institute of Physics, Faculty of Natural Sciences and Mathematics, <a href="https://ror.org/02wk2vx54">Ss. Cyril and Methodius University</a>, Arhimedova 3, 1000 Skopje, Macedonia; and Department of Physics, Korea University, Seoul 02841, Korea.
Solid State Institute, <a href="https://ror.org/03qryx823">Technion</a>, Haifa 32000, Israel and <a href="https://ror.org/01bf9rw71">Max Planck Institute for the Physics of Complex Systems</a>, Dresden, Germany.
Phys Rev E. 2024 Aug;110(2-1):024101. doi: 10.1103/PhysRevE.110.024101.
Fractional heterogeneous telegraph processes are considered in the framework of telegrapher's equations accompanied by memory effects. The integral decomposition method is developed for the rigorous treating of the problem. Exact solutions for the probability density functions and the mean squared displacements are obtained. A relation between the fractional heterogeneous telegrapher's equation and the corresponding Langevin equation has been established in the framework of the developed subordination approach. The telegraph process in the presence of stochastic resetting has been studied, as well. An exact expression for both the nonequilibrium stationary distributions/states and the mean squared displacements are obtained.
在考虑记忆效应的电报方程框架内研究了分数阶非均匀电报过程。为严格处理该问题开发了积分分解方法。获得了概率密度函数和均方位移的精确解。在已发展的从属方法框架内建立了分数阶非均匀电报方程与相应朗之万方程之间的关系。还研究了存在随机重置时的电报过程。获得了非平衡稳态分布/状态和均方位移的精确表达式。
