Integral Transforms and Special Functions· 2026Q2
Characterizations of periodic solutions for time fractional evolution equations in Sobolev spaces
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- Q2SCImago
- 2026year
Short summary
This paper establishes an existence criterion for solutions in Sobolev spaces to time fractional evolution equations, along with equivalent solution formulations and characterizations of periodic solutions for the linear case.
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Key points
- Establishes an existence criterion for solutions in Sobolev spaces for time fractional evolution equations.
- Provides characterizations of equivalent solution formulations.
- Investigates characterizations of periodic solutions for the linear problem.
AI-generated from the title and abstract; the full text is not read.
Abstract
We study the solution properties in Sobolev spaces for the evolution equation involving time fractional derivatives. Under appropriate assumptions on the semilinear function and initial data, we establish an existence criterion for solutions in Sobolev spaces, accompanied by a characterization of several equivalent solution formulations. Furthermore, we investigate several characterizations of periodic solutions to the linear problem.
The authors' abstract, as published at the source. Integral Transforms and Special Functions, 2026 · DOI ↗
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Field: Applied Mathematics
Applied MathematicsMathematics