March 3, 2026

Stationary Differential Equations with Fractional Order 1 < α < 2 on Metric Star Graphs

Key Points

Fractional differential equations exhibit unique properties on metric graphs, enhancing mathematical models.
Key applications include nonlinear ordinary and partial differential equations, influencing various scientific fields.
Analysis of metric star graphs demonstrates the versatility of fractional calculus in complex systems.
Implications indicate that further exploration could lead to new insights in engineering and theoretical mathematics.

Abstract

In the past few decades of years it has attracted much attentions to the fractional differential equations due to applications in numerous seemingly diverse and widespread fields of science and engineering 1–3. It is in constant development, which is fed by ideas and results of various directions in mathematics. One of these directions is nonlinear ordinary and partial differential equations considered on the branched structures so-called metric graphs.

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Discussion

Authors

K. K. Sabirov

Journals

Russian Mathematics

Actions

Institutions

Academy of Sciences Republic of Uzbekistan

National University of Uzbekistan

Tashkent University of Information Technology

References and Citations

Connected Papers

Building similarity graph...

Analyzing shared references across papers

Stationary Differential Equations with Fractional Order 1 < α < 2 on Metric Star Graphs

Key Points

Abstract

Citation Network

Connected Papers

Discussion

Authors

Journals

Actions

Institutions

References and Citations

Citation Network

Connected Papers

Discussion

Cite this study