Long-Time Asymptotics for Subordinated Fractional Diffusion Equations
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912669591666688 |
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| author | Majdoub, Mohamed Mliki, Ezzedine |
| author_facet | Majdoub, Mohamed Mliki, Ezzedine |
| contents | We study the long-time behavior of solutions to a class of evolution equations arising from random-time changes driven by subordinators. Our focus is on fractional diffusion equations involving mixed local and nonlocal operators. By combining techniques from probability theory, asymptotic analysis, and partial differential equations (PDEs), we characterize the dynamics of the subordinated solutions. This approach extends classical fractional dynamics and establishes a deeper connection between stochastic processes and deterministic PDEs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10203 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Long-Time Asymptotics for Subordinated Fractional Diffusion Equations Majdoub, Mohamed Mliki, Ezzedine Analysis of PDEs Probability We study the long-time behavior of solutions to a class of evolution equations arising from random-time changes driven by subordinators. Our focus is on fractional diffusion equations involving mixed local and nonlocal operators. By combining techniques from probability theory, asymptotic analysis, and partial differential equations (PDEs), we characterize the dynamics of the subordinated solutions. This approach extends classical fractional dynamics and establishes a deeper connection between stochastic processes and deterministic PDEs. |
| title | Long-Time Asymptotics for Subordinated Fractional Diffusion Equations |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2509.10203 |